Structure and Transport Properties in Organized Polymeric Materials (Series in Contemporary Chemical Physics)
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    Structure and Transport Properties in Organized Polymeric Materials (Series in Contemporary Chemical Physics)

    Manufacturer: World Scientific Publishing Company
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    Binding: Hardcover

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    ASIN: 981021894X
    Electrical transport and switching properties of polythiophene based water soluble conducting polymer at nano scale : (Dissertation)
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      Electrical transport and switching properties of polythiophene based water soluble conducting polymer at nano scale : (Dissertation)
      Swanand S. Vaidya
      Manufacturer: ProQuest Information and Learning
      ProductGroup: Book
      Binding: Digital

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      ASIN: B000EHSPCY
      Release Date: 2006-02-08

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      Transport Properties in Polymers
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        Transport Properties in Polymers
        Jiri Stastna
        Manufacturer: CRC
        ProductGroup: Book
        Binding: Loose Leaf

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        ASIN: 1566762820

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        From the Authors Introduction Diffusion is one of the few manageable nonequilibrium pro- cesses during which matter is transported through a system. Traditionally, diffusion is studied in physical chemistry; however, the fundamental understanding of diffusion processes is not possible without involving statistical physics. Diffusion in disordered systems, such as in polymers, has sometimes unexpected features, the nature of which has not yet been determined. Since modern technology involves more and more complex materials which rely on a subtle balance of microscopic effects, the understanding of diffusion processes in these materials is of paramount importance from the practical point of view. A renewed interest in the basic principles of diffusion is a direct result of new experimental data. This was a contributing factor in the preparation of this text. In the first chapter, the phenomenological thermodynamic basics of diffusion is reviewed, and the diffusion equation is derived from the principles of irreversible thermodynamics. The basic mathematical apparatus for solving diffusion equations is reviewed in the second chapter. The third chapter deals mainly with the vast amount of experimental data dealing with diffusion in polymers. . . . A reader interested in particular polymeric systems can use the . . . material as a useful introduction. The last chapter contains basic information concerning random walks and their application to the diffusion in disordered systems. The theory of random walks is widely used in polymer physics where it is usually combined with statistical mechanics to formulate various models of polymeric systems. Finally, useful mathematical formulas and references to the original sources of some mathematical methods are [provided] in the appendices. Some physical constants associated with several polymer solvent systems are also presented.

        Blends of a bottle-grade polyethylene terephthalate copolymer with a liquid crystalline polymer. Part II: thermal and transport properties.: An article from: Polymer Engineering and Science
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          Blends of a bottle-grade polyethylene terephthalate copolymer with a liquid crystalline polymer. Part II: thermal and transport properties.: An article from: Polymer Engineering and Science
          L.B. Da Silva , A.L. Marinelli , A. Ruvolo-Fileho , and R.E.S. Bretas
          Manufacturer: Society of Plastics Engineers, Inc.
          ProductGroup: Book
          Binding: Digital

          MaterialsMaterials | Chemical | Engineering | Professional & Technical | Subjects | Books
          ASIN: B0008FJ8UA
          Release Date: 2005-07-30

          Book Description

          This digital document is an article from Polymer Engineering and Science, published by Society of Plastics Engineers, Inc. on August 1, 2002. The length of the article is 8351 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

          From the author: In this work the thermal and transport properties of dichloromethane in blends of a bottle-grade polyethylene terephthalate copolymer, PET, and a liquid crystalline polymer, LCP, were measured. Thermal characterizations of the blends were made by modulated differential scanning calorimetry and dynamic mechanical thermal analyses. An approximated LOP "bulk orientation" was also calculated by wide angle X-ray diffraction. The morphology was analyzed by scanning electron microscopy. The resulting sorption curves of pure PET, and the B20, B40 and B60 blends were sigmoid type curves, while the sorption curve of the B80 blend was a two-stage type curve. The diffusion coefficients of the B20 and B40 blends were found to be the lowest of all the blends. These low diffusivities were attributed to the occurrence of strong long-range and short-range interactions between the PET and the LCP in the B20 and B40 blends, and also to the perfection of the PET crystals in the B20 blend.

          Citation Details
          Title: Blends of a bottle-grade polyethylene terephthalate copolymer with a liquid crystalline polymer. Part II: thermal and transport properties.
          Author: L.B. Da Silva
          Publication: Polymer Engineering and Science (Refereed)
          Date: August 1, 2002
          Publisher: Society of Plastics Engineers, Inc.
          Volume: 42 Issue: 8 Page: 1694(16)

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          The Effect of Calcium Chloride Dihydrate on the Optical Properties and Mass Transport of Methanol in Poly(Methyl Methacrylate).(Statistical Data Included): ... from: Polymer Engineering and Science
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            The Effect of Calcium Chloride Dihydrate on the Optical Properties and Mass Transport of Methanol in Poly(Methyl Methacrylate).(Statistical Data Included): ... from: Polymer Engineering and Science
            K. F. Chou , and Sanboh Lee
            Manufacturer: Society of Plastics Engineers, Inc.
            ProductGroup: Book
            Binding: Digital

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            ASIN: B0008H6C1G
            Release Date: 2005-07-28

            Book Description

            This digital document is an article from Polymer Engineering and Science, published by Society of Plastics Engineers, Inc. on April 1, 2000. The length of the article is 5679 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

            Citation Details
            Title: The Effect of Calcium Chloride Dihydrate on the Optical Properties and Mass Transport of Methanol in Poly(Methyl Methacrylate).(Statistical Data Included)
            Author: K. F. Chou
            Publication: Polymer Engineering and Science (Refereed)
            Date: April 1, 2000
            Publisher: Society of Plastics Engineers, Inc.
            Volume: 40 Issue: 4 Page: 1025

            Article Type: Statistical Data Included

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            Effect of the separation of Coulomb centers on the activation energy in electronic hopping transport: a reinterpretation in poly-N-vinylcarbazole.: An article from: Polymer Engineering and Science
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              Effect of the separation of Coulomb centers on the activation energy in electronic hopping transport: a reinterpretation in poly-N-vinylcarbazole.: An article from: Polymer Engineering and Science
              S. Santos , and D. Caraballo
              Manufacturer: Thomson Gale
              ProductGroup: Book
              Binding: Digital

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              ASIN: B000R37ZQW
              Release Date: 2007-05-21

              Book Description

              This digital document is an article from Polymer Engineering and Science, published by Thomson Gale on May 1, 2007. The length of the article is 3814 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

              From the author: The effect of the separation of Coulomb centers in the activation energy for the electronic hopping transport of noncrystalline organic materials was studied. The theoretical analysis was carried out in absence of an applied electric field, using a simple one-dimensional model of two centers separated by a distance R. It was found that the height of the potential well is reduced by an amount [e.sup.2]/4[pi][epsilon][[epsilon].sub.0]R due to the overlapping of the Coulomb centers. This reduction defines an effective activation energy given by ([DELTA]E)[.sub.0] - [e.sup.2]/4[pi][epsilon][[epsilon].sub.0]R, where ([DELTA]E)[.sub.0] is the height of the nonperturbed potential well. As an experimental application of this result, current-voltage characteristic in poly-N-vinylcarbazole at different temperatures was obtained, from which the conductivity at zero electric field was estimated by extrapolation to zero field in Poole-Frenkel plots. The correspondent activation energy was estimated from Arrhenius plots in the order of 0.65 eV. Because the carriers transport in this polymer occurs by hopping between the molecules of carbazole whose mean separation is in the order of 6.5 x [10.sup.-10] m, the height of the nonperturbed Coulomb barrier of a single hopping site in this material would be really estimated in 1.18 eV. POLYM. ENG. SCI., 47:545-550, 2007. [c] 2007 Society of Plastics Engineers

              Citation Details
              Title: Effect of the separation of Coulomb centers on the activation energy in electronic hopping transport: a reinterpretation in poly-N-vinylcarbazole.
              Author: S. Santos
              Publication: Polymer Engineering and Science (Magazine/Journal)
              Date: May 1, 2007
              Publisher: Thomson Gale
              Volume: 47 Issue: 5 Page: 545(6)

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              Gas transport properties in chlorosulfonated polyethylene-acrylate based adhesives.(Abstract)(Statistical Data Included): An article from: Polymer Engineering and Science
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                Gas transport properties in chlorosulfonated polyethylene-acrylate based adhesives.(Abstract)(Statistical Data Included): An article from: Polymer Engineering and Science
                P. Tiemblo , J. Guzman , E. Riande , A. Fernandez , and P. Bosch
                Manufacturer: Society of Plastics Engineers, Inc.
                ProductGroup: Book
                Binding: Digital

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                ASIN: B0009FN9B8
                Release Date: 2005-07-30

                Book Description

                This digital document is an article from Polymer Engineering and Science, published by Society of Plastics Engineers, Inc. on June 1, 2002. The length of the article is 4751 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

                From the author: The permeability and diffusivity properties of four gases--oxygen, nitrogen, carbon dioxide and methane--have been obtained for membranes prepared by the photocrosslinking of a mixture of chlorosulfonated polyethylene, acting as a binder, and a series of acrylic and methacrylic monomers. These measurements have been performed in the range 20[degrees]C to 50[degrees]C, and the activation energies have also been determined. These data are presented in comparison with those previously obtained in a crosslinked system in which the binder was not chlorosulfonated polyethylene but an aliphatic polyurethane. Both polymeric systems show similar permselectivities for the gas pairs [O.sub.2]/[N.sub.2] (near 5) and C[O.sub.2]/C[H.sub.4] (near 12), though overall permeability is about three times lower in the chlorosulfonated polyethylene-based polymer because of the smaller diffusion coefficients. The permeation and diffusion results are discussed in terms of the final structure of the photocrosslinked polymeric system, and it is concluded that it is the binder which is mostly responsible for the gas transport properties of these crosslinked materials.

                Citation Details
                Title: Gas transport properties in chlorosulfonated polyethylene-acrylate based adhesives.(Abstract)(Statistical Data Included)
                Author: P. Tiemblo
                Publication: Polymer Engineering and Science (Refereed)
                Date: June 1, 2002
                Publisher: Society of Plastics Engineers, Inc.
                Volume: 42 Issue: 6 Page: 1131(10)

                Article Type: Abstract, Statistical Data Included

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                Hybrid organic inorganic nylon-6/Si[O.sub.2] nanocomposites: transport properties. : An article from: Polymer Engineering and Science
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                  Hybrid organic inorganic nylon-6/Si[O.sub.2] nanocomposites: transport properties. : An article from: Polymer Engineering and Science
                  Monserrat Garcia , Jonathan Barsema , Ramon E. Galindo , Daniele Cangialosi , Javier Garcia-Turiel , Werner E. Van Zyl , Henk Verweij , and Dave H.A. Blank
                  Manufacturer: Society of Plastics Engineers, Inc.
                  ProductGroup: Book
                  Binding: Digital

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                  ASIN: B0009GH9PY
                  Release Date: 2005-08-01

                  Book Description

                  This digital document is an article from Polymer Engineering and Science, published by Society of Plastics Engineers, Inc. on July 1, 2004. The length of the article is 4821 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

                  From the author: Organic-inorganic hybrid membranes of nanosized Si[O.sub.2]-filled polyamide composites were prepared via film casting and their transport properties were studied. Gas permeation measurements were performed at room temperature, and the membrane exhibited an increase in membrane permeability performance. In contrast to the performance of traditional dense filled polymer systems, the permeability increased with an increased number of nanosilica particles. The nanocomposites were studied using positron annihilation lifetime spectroscopy (PALS). From the ortho-positronium (o-Ps) lifetime ([[tau].sub.3]), the size of the local free volume (holes) was estimated. The increase in permeability is ascribed to the additional free volume obtained. This is created by the presence of nanoparticles that alter the PA chain packing. Furthermore, wide angle X-ray diffraction (WAXD) patterns revealed that the incorporation of silica induced the structural modification of polymer chains by modifying the degree of crystallinity in comparison with the neat polymer. Polym. Eng. Sci. 44:1240-1246, 2004.

                  Citation Details
                  Title: Hybrid organic inorganic nylon-6/Si[O.sub.2] nanocomposites: transport properties.
                  Author: Monserrat Garcia
                  Publication: Polymer Engineering and Science (Refereed)
                  Date: July 1, 2004
                  Publisher: Society of Plastics Engineers, Inc.
                  Volume: 44 Issue: 7 Page: 1240(7)

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                  Lithium ion transport through nonaqueous perfluoroionomeric membranes. : An article from: Polymer Engineering and Science
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                    Lithium ion transport through nonaqueous perfluoroionomeric membranes. : An article from: Polymer Engineering and Science
                    Sunil Sachan , Cameron A. Ray , and Stephen A. Perusich
                    Manufacturer: Society of Plastics Engineers, Inc.
                    ProductGroup: Book
                    Binding: Digital

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                    ASIN: B0009FRF4K
                    Release Date: 2005-07-30

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                    This digital document is an article from Polymer Engineering and Science, published by Society of Plastics Engineers, Inc. on July 1, 2002. The length of the article is 6737 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

                    From the author: The transport properties of lithiated perfluorinated ionomers imbibed with nonaqueous solvents and solvent mixtures were studied. Polymeric ion-exchange membranes have potential use in the next generation single-ion secondary lithium polymer batteries, where the lithiated form of the membrane is used as a polymer electrolyte. The novelty of the approach for lithium battery applications lies in the advantage offered by a transference number of unity, no additional salt (e.g., [LiPF.sub.6] is needed, and the excellent physical and chemical stability of the fluoropolymers. Ion-exchange membranes were converted to the [Li.sup.+] salt form and analyzed for total conversion using FT-IR. Nonaqueous solvents and solvent mixtures were imbibed into the membranes in a glove box, and the uptake was measured over time. A four-point probe was used to determine the ionic conductivity based on impedance measurements performed over a frequency range of 10 to 35,000 Hz. Conductivities exceeding [10.sup-4] S/cm with transferenc e numbers of unity were achieved making these ionomeric membranes potentially useful in rechargeable lithium polymer batteries.

                    Citation Details
                    Title: Lithium ion transport through nonaqueous perfluoroionomeric membranes.
                    Author: Sunil Sachan
                    Publication: Polymer Engineering and Science (Refereed)
                    Date: July 1, 2002
                    Publisher: Society of Plastics Engineers, Inc.
                    Volume: 42 Issue: 7 Page: 1469(12)

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                    New approach to a collodion membrane composite via fluorocarbon polymer (Nafion) blending in terms of a diffusion coefficient of redox substances and transport ... properties [An article from: Desalination]
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                      New approach to a collodion membrane composite via fluorocarbon polymer (Nafion) blending in terms of a diffusion coefficient of redox substances and transport ... properties [An article from: Desalination]
                      A. Yamauchi , and A.M. El Sayed
                      Manufacturer: Elsevier
                      ProductGroup: Book
                      Binding: Digital
                      ASIN: B000RR9NZE

                      Book Description

                      This digital document is a journal article from Desalination, published by Elsevier in 2006. The article is delivered in HTML format and is available in your Amazon.com Media Library immediately after purchase. You can view it with any web browser.

                      Description:
                      Nafion (fluorocarbon polymer) and collodion blended with Nafion in the ratio of CN5:5 composite solutions were used to produce thin membrane films on Au electrodes. It was found that the transport properties of water and KCl, such as the filtration coefficient, Lp, reflection coefficient, @s and salt permeation, @w, across the two composite collodion (C) and Nafion (N) membranes depended on the quantities of the Nafion component. Moreover, the study indicated that a better diffusion coefficient of redox substances can be achieved by blending the Nafion solution with an ionic group to collodion solution compared to Nafion only. The uptake of neutral species of ferrocenedimethanol (FcDM), positively charged species of methyl viologen (MV^2^+), and negatively charged potassium ferrocyanide [Fe(CN)"6]^4^- ions were studied by cyclic voltammetry and chronopotentiometry. The diffusion coefficient of MV^2^+ and FcDM in blended Nafion:collodion showed higher values compared to that in Nafion alone. The diffusion of positively charged species, MV^2^+, was decreased in the membrane matrix compared to the neutral species, FcDM. This may be attributed to the existence of an interaction between SO"3^- functional groups of the fluorocarbon polymer and MV^2^+ that led to mobility restriction of MV^2^+ compared to FcDM. The diffusion of the [Fe(CN)"6]^4^- species was not clearly observed due to the electrostatic repulsion effect between SO"3^- functional groups of the flourocarbon polymer and the negative species, [Fe(CN)"6]^4^-.

                      Stochastic Interacting Systems: Contact, Voter and Exclusion Processes (Grundlehren der mathematischen Wissenschaften)
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                        Stochastic Interacting Systems: Contact, Voter and Exclusion Processes (Grundlehren der mathematischen Wissenschaften)
                        Thomas M. Liggett
                        Manufacturer: Springer
                        ProductGroup: Book
                        Binding: Hardcover

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                        ASIN: 3540659951

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                        Interactive Particle Systems is a branch of Probability Theory with close connections to Mathematical Physics and Mathematical Biology. In 1985, the author wrote a book (T. Liggett, Interacting Particle System, ISBN 3-540-96069) that treated the subject as it was at that time. The present book takes three of the most important models in the area, and traces advances in our understanding of them since 1985. In so doing, many of the most useful techniques in the field are explained and developed, so that they can be applied to other models and in other contexts. Extensive Notes and References sections discuss other work on these and related models. Readers are expected to be familiar with analysis and probability at the graduate level, but it is not assumed that they have mastered the material in the 1985 book. This book is intended for graduate students and researchers in Probability Theory, and in related areas of Mathematics, Biology and Physics.
                        Interacting Particle Systems (Classics in Mathematics)
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                          Interacting Particle Systems (Classics in Mathematics)
                          Thomas M. Liggett
                          Manufacturer: Springer
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                          Binding: Paperback

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                          ASIN: 3540226176

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                          From the reviews

                          "[...] This book presents a complete treatment of a new class of random processes, which have been studied intensively during the last fifteen years. None of this material has ever appeared in book form before. …The high quality of this work, [...] , makes a fascinating subject and its open problem as accessible as possible. [...]"

                          F.L. Spitzer in Mathematical Reviews, 1986

                          "[...] However, it can be said that the author has succeeded in what even experts are seldom able to achieve: To write a clearcut and inspiring book on his favorite subject which meets most, if not all requirements which can be imposed on a comprehensive text on an important new field. The author can be congratulated on his excellent presentation of the theory of interacting particle systems. The book is highly recommended to everyone who works on or is interested in this subject: to probabilists, physicists and theoretical biologists. [...]"


                          G. Rosenkranz in Methods of Information in Medicine, 1986

                          Random Walks, Brownian Motion and Interacting Particle Systems (Progress in Probability)
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                            Random Walks, Brownian Motion and Interacting Particle Systems (Progress in Probability)

                            Manufacturer: Birkhauser Verlag AG
                            ProductGroup: Book
                            Binding: Hardcover

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                            ASIN: 3764335092
                            Entropy Methods for the Boltzmann Equation: Lectures from a special semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001 (Lecture Notes in Mathematics)
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                              Entropy Methods for the Boltzmann Equation: Lectures from a special semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001 (Lecture Notes in Mathematics)
                              Fraydoun Rezakhanlou , and Cédric Villani
                              Manufacturer: Springer
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                              ASIN: 3540737049

                              Book Description

                              Entropy and entropy production have recently become mathematical tools for kinetic and hydrodynamic limits, when deriving the macroscopic behaviour of systems from the interaction dynamics of their many microscopic elementary constituents at the atomic or molecular level.

                              During a special semester on Hydrodynamic Limits at the Centre Émile Borel in Paris, 2001 two of the research courses were held by C. Villani and F. Rezakhanlou. Both illustrate the major role of entropy and entropy production in a mutual and complementary manner and have been written up and updated for joint publication. Villani describes the mathematical theory of convergence to equilibrium for the Boltzmann equation and its relation to various problems and fields, including information theory, logarithmic Sobolev inequalities and fluid mechanics. Rezakhanlou discusses four conjectures for the kinetic behaviour of the hard sphere models and formulates four stochastic variations of this model, also reviewing known results for these.

                              Hydrodynamic Behavior and Interacting Particle Systems
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                                Hydrodynamic Behavior and Interacting Particle Systems

                                Manufacturer: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
                                ProductGroup: Book
                                Binding: Hardcover

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                                ASIN: 354096584X

                                Book Description

                                This is the third volume (out of four) with papers which originated during the course of the Stochastic Equations and Their Applications year at the Institute for Mathematics and Its Applications at the University of Minnesota. This volume which is directed towards researchers in applied mathematics, engineering, and physics, contains contributions by P.M. Chaikin, W.D. Dozier, H.M. Lindsay, D.A. Dawson, R. Figari, G. Papanicolaou, J. Rubinstein, K.F. Freed, S. Wang, J.F. Douglas, J. Fritz, J. Goodman, L.G. Gorostiza, D.E. Loper, P.H. Roberts, H. Osada, S. Ozawa, H. Spohn, A.S. Sznitman, and H. Tanaka.
                                Ionization, Correlation, and Polarization in Atomic Collisions: International Symposium on (e,2e), Double Photoionization, and Related Topics and the Thirteenth ... / Atomic, Molecular, Chemical Physics)
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                                  Ionization, Correlation, and Polarization in Atomic Collisions: International Symposium on (e,2e), Double Photoionization, and Related Topics and the Thirteenth ... / Atomic, Molecular, Chemical Physics)

                                  Manufacturer: American Institute of Physics
                                  ProductGroup: Book
                                  Binding: Hardcover

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                                  ASIN: 0735403031

                                  Book Description

                                  All papers were peer-reviewed. This proceedings volume contains the invited talks presented at two atomic physics symposia held jointly in Buenos Aires, Argentina from 28-30 July 2005. They represent the latest research in dynamics of collision systems involving collisions between photons, electrons, and ions and a diverse range of target species: atoms, molecules, clusters, and surfaces. There is a particular emphasis on correlation and many-body effects in excitation and ionization.
                                  Phase Transitions of Interacting Particle Systems
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                                    Phase Transitions of Interacting Particle Systems
                                    Norio Konno
                                    Manufacturer: World Scientific Pub Co Inc
                                    ProductGroup: Book
                                    Binding: Hardcover

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                                    ASIN: 9810220766
                                    The Physics of Interacting Electrons in Disordered Systems (International Series of Monographs on Physics)
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                                      The Physics of Interacting Electrons in Disordered Systems (International Series of Monographs on Physics)
                                      Hiroshi Kamimura , and Hideo Aoki
                                      Manufacturer: Oxford University Press, USA
                                      ProductGroup: Book
                                      Binding: Hardcover

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                                      ASIN: 0198520239

                                      Book Description

                                      This book surveys advances in the study of electron behavior in systems without periodicity--one of the most fascinating areas in solid state physics. The first half of the book covers impurity bands in three dimensions, focusing on the regime in which the electrons are spatially localized, so
                                      that an interesting interplay of localization and interaction arises. The second part of the book covers the outstanding features of two-dimensional electron systems, explaining the remarkable effects of magnetic fields, including the normal and fractional quantum Hall effect. As a whole, the book
                                      draws together findings from an enormous amount of research into the electronic properties of disordered systems, while the separate chapters may be read as self-contained units.
                                      Quantum Interacting Particle Systems: Lecture Notes of the Volterra-Cirm International School, Trento, Italy, 23-29 September 2000 (Qp-Pq, Quantum Probability and White Noise Analysis, V. 14)
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                                        Quantum Interacting Particle Systems: Lecture Notes of the Volterra-Cirm International School, Trento, Italy, 23-29 September 2000 (Qp-Pq, Quantum Probability and White Noise Analysis, V. 14)
                                        Franco Fagnola
                                        Manufacturer: World Scientific Publishing Company
                                        ProductGroup: Book
                                        Binding: Hardcover

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                                        ASIN: 981238104X
                                        Scaling Limits of Interacting Particle Systems (Grundlehren der mathematischen Wissenschaften)
                                        Average customer rating: 3.5 out of 5 stars
                                        • A good idea, not quite fully realized
                                        • extensive converage on the subject
                                        Scaling Limits of Interacting Particle Systems (Grundlehren der mathematischen Wissenschaften)
                                        Claude Kipnis , and Claudio Landim
                                        Manufacturer: Springer
                                        ProductGroup: Book
                                        Binding: Hardcover

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                                        ASIN: 3540649131

                                        Book Description

                                        This book presents in a progressive way the techniques used in the proof of the hydrodynamic behavior of interacting particle systems. It starts with introductory material on independent particles and goes all the way to nongradient systems, covering the entropy and the relative entropy methods, asymmetric processes from which hyperbolic equations emerge, the equilibrium fluctuations and the large deviations theory for short-range stochastic dynamics. It reviews, in appendices, some tools of Markov process theory and derives estimates on the spectral gap of reversible, conservative generators. The book is self-contained and can be read by graduate students in mathematics or mathematical physics with standard probability background. It can be used as a support for a graduate on stochastic processes.

                                        Customer Reviews:

                                        3 out of 5 stars A good idea, not quite fully realized.......2002-07-18

                                        This book provides an excellent and thorough introduction to the limit theory of interacting particle systems; with an assumption that the reader is familiar with the basic theory as found in (for example) Liggett. The whole development is geared towards derving hydrodynamic limits, strongly based on the works of S.R.S Varadhan.

                                        The material is however as presented much too advanced for a first graduate course on the subject because of the many dependencies on other advanced aspects of probability theory (e.g. Dirichlet forms, Large Deviations). There is a large collection (100 pages) of appendix matter covering some of these topics, but this material is better as a refresher than as an introduction!

                                        The book is sadly marred, through the publisher's failure to copy-edit the material adequately (which in the past was most unusual for a Springer publication), and gives the impression of being a book in the "Lecture Notes in Mathematics" series, which prints straight from author's camera ready copy, without professional publishing assistance. As a result the book in its current form seems overpriced. There are numerous notational inconsistencies, spelling and grammatical error, and poor English idiom (while English is not the native language of the authors, good copy-editing should have corrected this), poor typography from tex, and worst of all, an ABSYMAL index (two pages for a 400 page book). Unfortunately a combination of these facts makes the book hard to read, since much cross referencing ends up being needed. There is plenty of hope for a second edition.

                                        4 out of 5 stars extensive converage on the subject.......2000-03-28

                                        It covers the subject quite extensively. It would be a good reference boook. Moreover, if one wants to know about the recent developments in research on interacting particle systems, then this is the one to look for.

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