Liquid Glass Transition

A Unified Theory From the Two Band Model

By

  • Toyoyuki Kitamura, Emeritus Professor, Nagasaki Institute of Applied Science, Nagasaki, Japan

A glass is disordered material like a viscous liquid and behaves mechanically like a solid. A glass is normally formed by supercooling the viscous liquid fast enough to avoid crystallization, and the liquid-glass transition occurs in diverse manners depending on the materials, their history, and the supercooling processes, among other factors. The glass transition in colloids, molecular systems, and polymers is studied worldwide. This book presents a unified theory of the liquid-glass transition on the basis of the two band model from statistical quantum field theory associated with the temperature Green’s function method. It is firmly original in its approach and will be of interest to researchers and students specializing in the glass transition across the physical sciences.
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Audience

Researchers, advanced students and professionals in physics, chemical engineering, mechanical engineering, materials science, and applied mathematics.

 

Book information

  • Published: December 2012
  • Imprint: ELSEVIER
  • ISBN: 978-0-12-407177-3


Table of Contents

Preface
1.Introduction
2.Sound and Elastic Waves in the Classical Theory
3.Fundamentals of Quantum Field Theory
4.Temperature Green’s Functions
5.Real Time Green’s Functions and Temperature Green’s Functions
6.The Structure of Glasses Associated with Phonons
7.The Liquid-Glass Transition
8.Phonon Operators in Nonlinear Interaction Potentials
9.Phonon and Sound Fluctuation Modes and Thermal Conductivities
10.The Liquid-Glass Transition in Multi-Component Liquids
11.Extension of the Two Band Model