Topics in Disordered Systems

ISBN-13: 9783764357771 / Angielski / Miękka / 1997 / 88 str.

Charles M. Newman;Newman

Opis

Disordered systems are statistical mechanics models in random environments. This work deals with the equilibrium properties of a few chosen examples of disordered Ising models. It considers two main types of systems: disordered ferromagnets and spin glasses.

Recenzje

"The book is accessible to those with an understanding of the basic theory of Gibbs distribution, yet it proceeds almost immediately to the frontiers of research... It is not an attempt to survey the entire field of disordered systems, but it serves as an excellent introduction nonetheless... Newman's well-written, cohesive presentation should be of great assistance to new and experienced researchers, both mathematicians and physicists."

--Bulletin of the AMS

"A very up-to-date presentation of carefully selected topics... Interesting not only to applied mathematicians and specialists in probability theory, but also to materials scientists and condensed matter physicists."

--Applications of Mathematics

Spis treści

0 Introduction.- 1 Ground States of Disordered Ferromagnets.- 2 Ground States of Highly Disordered Systems.- 3 High Temperature States of Disordered Systems.- 4 Low Temperature States of Disordered Systems.- Appendix A: Infinite Geodesice and Measurability.- Appendix B: Disordered Systems and Metastates.