Thermodynamics of the Glassy State: 1st Edition (Hardback) book cover

Thermodynamics of the Glassy State

1st Edition

By Luca Leuzzi, Th. M Nieuwenhuizen

CRC Press

368 pages | 74 B/W Illus.

Purchasing Options:$ = USD
Hardback: 9780750309974
pub: 2007-10-29
Currently out of stock
$185.00
x
eBook (VitalSource) : 9780429146039
pub: 2007-10-29
from $28.98


FREE Standard Shipping!

Description

In the past thirty years, the area of spin glasses has experienced rapid growth, including the development of solvable models for glassy systems. Yet these developments have only been recorded in the original research papers, rather than in a single source. Thermodynamics of the Glassy State presents a comprehensive account of the modern theory of glasses, starting from basic principles (thermodynamics) to the experimental analysis of one of the most important consequences of thermodynamics-Maxwell relations.

After a brief introduction to general theoretical concepts and historical developments, the book thoroughly describes glassy phenomenology and the established theory. The core of the book surveys the crucial technique of two-temperature thermodynamics, explains the success of this method in resolving previously paradoxical problems in glasses, and presents exactly solvable models, a physically realistic approach to dynamics with advantages over more established mean field methods. The authors also tackle the potential energy landscape approach and discuss more detailed theories of glassy states, including mode coupling, avoided critical point, replica, and random first order transition theories.

This reference lucidly explores recent theoretical advances in the thermodynamics of slowing-aging (glassy) systems. It details the general properties of glassy states while also demonstrating how these properties are present in specific models, enabling readers to thoroughly understand this fundamental yet challenging area of study.

Reviews

"Thermodynamics of the Glassy State is a very useful introductory reference to researchers interested in glassy systems; it provides a very well-written introduction to the phenomenology of glasses and a deep review of different models and theories … The monograph by L. Leuzzi and T.M. Nieuwenhuizen will almost certainly be an essential item in the library of any researcher working in the field in the foreseeable future."

Journal of Statistical Physics

"This book fills a hole in the literature on glassy systems. … This book will certainly be extremely useful to anyone who approaches for the first time the study of glasses because it firstly describes general properties of the glassy states and later shows how these properties are present in specific models: in this way the reader is not lost in a multitude of different models that are used to derive general properties, as often happens in the literature. This book will also be useful to the experienced researcher, who sometimes may overlook the less technical consequences of his own work. It is always very stimulating to read a well-done reflection on the basic results in a developing field where the new conceptual points are discussed in a systematic way. I am sure that this book will remain for a long time a reference text in the field."

—From the Foreword, Giorgio Parisi, Professor of Quantum Theories, University of Rome, Italy

Table of Contents

INTRODUCTION

THEORY AND PHENOMENOLOGY OF GLASSES

Processes, time-scales, and transitions

Strong and fragile glass formers

Aging

Configurational entropy

Adam-Gibbs entropic theory

Fragility index

Kovacs effect

TWO TEMPERATURE THERMODYNAMICS

Elements of thermodynamics

Fictive temperature

Two temperature thermodynamics

Laws of thermodynamics for off-equilibrium systems

Laws of thermodynamics for glassy magnets

Effective temperature in thermal cycles

Fluctuation formula and effective temperatures

Fluctuation and dissipation out of equilibrium

Direct measure of the effective temperature

Asymptotic solution in nonlinear cooling

EXACTLY SOLVABLE MODELS FOR THE GLASSY STATE

Harmonic oscillator model

Kinetic models with separation of timescales

Out-of-equilibrium thermodynamics

Below the Kauzmann transition

Kovacs effect: limits of two temperature thermodynamics

Measuring effective temperature in HO models

Mode-dependent effective temperature

HOSS equations of motion for one-time variables

Monte Carlo integrals in one- and two-time dynamics

AGING URN MODELS

The backgammon model

Two-time dynamics and FDR effective temperature

A model for collective modes

Occupation probability density equations

Ansatz for the adiabatic approximation

Approach to equilibrium of occupation densities

Probability distribution of proposed energy updates

GLASSINESS IN A DIRECTED POLYMER MODEL

The directed polymer model

Directed polymer dynamics

Cooling and heating setups

POTENTIAL ENERGY LANDSCAPE APPROACH

Potential energy landscape

Thermodynamics in supercooled liquids

The solid amorphous phase

Fragility in the PEL

PEL approach to the random orthogonal model

PEL approach to the harmonic oscillator models

Many-body glassy models

THEORIES OF THE GLASSY STATE

Mode coupling theory

Replica theory for glasses with quenched disorder

Glass models without quenched disorder: clone theory

Frustration limited domain theory

Random first order transition theory

BIBLIOGRAPHY

INDEX

About the Series

Condensed Matter Physics

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
SCI055000
SCIENCE / Physics
SCI077000
SCIENCE / Solid State Physics
TEC021000
TECHNOLOGY & ENGINEERING / Material Science