Theory and Applications of the Cluster Variation and Path Probability Methods

S?nchez Jos? M. Mor?n-L?pez J.L.

ISBN 10: 0306454610 / ISBN 13: 9780306454615

Published by Springer, 1996

About this Item

Seller Inventory # 18527296

Bibliographic Details

• Title: Theory and Applications of the Cluster Variation and Path Probability Methods
• Publisher: Springer
• Publication Date: 1996
• Language: English
• ISBN 10: 0306454610
• ISBN 13: 9780306454615
• Binding: Hardcover
• Condition: New

About this title

Synopsis

This volume is a compilation of papers presented at the International Workshop on the Theory and Applications of the Cluster Variation and Path Probability Methods, held in the city of San Juan, Teotihuacan, Mexico, during June 18-22, 1995. The presentations at the workshop provided a state of the art review of the fundamental aspects of the CVM and PPM and their application to a wide range of problems in statistical mechanics and alloy theory. The volume begins with several articles dealing with the study of the kinetics of ordering in Ising sytems and alloys using the PPM and other classical techniques. These articles are followed by the contribution of Professor Masuo Suzuki on the Coherent Anomaly Method which has added a new dimension to mean field theory, and the CVM in particular, in the study of critical phenomena. The remaining of the volume is dedicated to fundamental aspects and specific applications of the CVM in a wide range of subjects ranging from bulk and surface studies to new areas of inquiry such as the problem of image reconstruction. Since the inception by Prof. Ryoichi Kikuchi of the CVM in 1950 and of the PPM in 1966, the latter after a gestation period of approximately six years, the tech­ niques have found wide acceptance in the physics and materials science communities. Both methods are properly regarded as seminal contributions to equilibrium and non­ equilibrium statistical mechanics.

Synopsis

A compilation of 23 papers presented at the June 1995 workshop. A sampling of the contents: path probability function and entropy production, ising model and kinetic mean field theories, kinetic path and fluctuation calculated by the path probability method, time development fluctuations in the path probability method, universal dynamic response in