Classical Relaxation Phenomenology

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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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

• relaxation spectroscopy
• dielectric relaxation
• structural relaxation
• electrical relaxation
• mathematics of relaxation
• constant displacement
• conductivity relaxation
• enthalpy relaxation

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

  Ian M. Hodge

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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