Transport Properties in Polymers

Transport Properties in Polymers

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ISBN 9781566762823
Cat# TX62820
 

Features

  • New presentation of diffusion processes in polymeric materials
  • Review of thermodynamics basis of diffusion, mathematical analytical methods, experimental data, and use of random walk theory for diffusion models
  • Extensive appendices include mathematical formulas and transport properties data
  • Summary

    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.

    Table of Contents

    Basic Thermodynamic Concepts
    Equation of State
    Reversible and Irreversible Processes
    The Second Thermodynamic Principle
    Thermodynamic Potentials
    Thermodynamics of Irreversible Processes

    The Diffusion Equation
    Basic Properties of Linear Partial Differential Equations
    Parabolic Equations
    Separation of Variables
    Fourier Method
    Constant Diffusivity
    Green's Function
    Helmholtz Equation
    Integral Transforms

    Diffusion in Polymers
    Historical Note
    Sorption Kinetics
    Diffusion in Polymeric Membranes
    Diffusion-Continuum Mechanics Picture
    Controlled Release Systems

    Random Walks
    Basic Concepts of the Random Walk
    Restricted Walks
    Correlated and Self-Avoiding Walks
    Ideal Polymer Chains
    Classical Diffusion
    Anomalous Diffusion
    Mechanical Relaxation


    Appendix
    Laplace Equation in Curvilinear Coordinates
    Vectors, Vector Operators, and Integral Theorems
    Some Special Functions
    Bessel Functions
    Associated Legendre Functions
    Orthogonal Polynomials
    Integral Transforms
    Transport Properties: Diffusion, Solubility, Permeation, and Swelling Data for Some Systems

    Index

    Editorial Reviews

    " . . . it is a good resource for a reader looking for an introduction into the area of diffusion in polymers and its mathematical modeling using random walks. The references listed after every chapter provide a good compilation of contemporary work in this field."
    Arvind M. Mather and Alec B. Scranton
    University of Michigan, East Lansing

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