Transport Properties in Polymers: 1st Edition (Hardback) book cover

Transport Properties in Polymers

1st Edition

By Jiri Stastna

CRC Press

303 pages

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Hardback: 9781566762823
pub: 1995-03-01

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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.


" . . . 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

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


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


Subject Categories

BISAC Subject Codes/Headings:
TECHNOLOGY & ENGINEERING / Chemical & Biochemical
TECHNOLOGY & ENGINEERING / Textiles & Polymers