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Classical Relaxation Phenomenology

  • Book
  • © 2019

Overview

Authors:
  1. Ian M. Hodge

    1. School of Physics and Astronomy (retired), Rochester Institute of Technology, Rochester, USA

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  • A self-contained reference on relaxation phenomena
  • Details both the mathematical basis and applications
  • For engineers, materials scientists, and physicists

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xvii
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  2. Mathematics

    1. Front Matter

      Pages 1-1
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    2. Mathematical Functions and Techniques

      • Ian M. Hodge
      Pages 3-23

    3. Complex Variables and Functions

      • Ian M. Hodge
      Pages 25-47

    4. Other Functions and Relations

      • Ian M. Hodge
      Pages 49-69

    5. Elementary Statistics

      • Ian M. Hodge
      Pages 71-80

    6. Relaxation Functions

      • Ian M. Hodge
      Pages 81-107

  3. Electrical Relaxation

    1. Front Matter

      Pages 109-109
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    2. Introduction to Electrical Relaxation

      • Ian M. Hodge
      Pages 111-137

    3. Dielectric Relaxation

      • Ian M. Hodge
      Pages 139-151

    4. Conductivity Relaxation

      • Ian M. Hodge
      Pages 153-158

    5. Examples

      • Ian M. Hodge
      Pages 159-178

  4. Structural Relaxation

    1. Front Matter

      Pages 179-179
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    2. Thermodynamics

      • Ian M. Hodge
      Pages 181-195

    3. Structural Relaxation

      • Ian M. Hodge
      Pages 197-222

  5. Correction to: Classical Relaxation Phenomenology

    • Ian M. Hodge
    Pages C1-C1

  6. Back Matter

    Pages 223-256
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Keywords

About this book

This book serves as a self-contained reference source for engineers, materials scientists, and physicists with an interest in relaxation phenomena. It is made accessible to students and those new to the field by the inclusion of both elementary and advanced math techniques, as well as chapter opening summaries that cover relevant background information and enhance the book's pedagogical value. These summaries cover a wide gamut from elementary to advanced topics.


The book is divided into three parts. The opening part, on mathematics, presents the core techniques and approaches. Parts II and III then apply the mathematics to electrical relaxation and structural relaxation, respectively. Part II discusses relaxation of polarization at both constant electric field (dielectric relaxation) and constant displacement (conductivity relaxation), topics that are not often discussed together. Part III primarily discusses enthalpy relaxation of amorphous materials within and below the glass transition temperature range. It takes a practical approach inspired by applied mathematics in which detailed rigorous proofs are eschewed in favor of describing practical tools that are useful to scientists and engineers. Derivations are however given when these provide physical insight and/or connections to other material.


  • A self-contained reference on relaxation phenomena
  • Details both the mathematical basis and applications
  • For engineers, materials scientists, and physicists

Authors and Affiliations

  • School of Physics and Astronomy (retired), Rochester Institute of Technology, Rochester, USA

    Ian M. Hodge

About the author

Ian Hodge received his PhD in physical chemistry from Purdue University and studied in the departments of chemistry of the University of Aberdeen in the UK and McGill University in Montreal. He was a member of the research staff at the B F Goodrich Research Laboratories and later joined the Research Laboratory of Eastman Kodak. He then taught introductory physics at the Rochester Institute of Technology before retiring from there. He has almost 50 publications to his name, of which 12 have more than 100 citations, and an h-index of 28.

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