Phase Transitions in Random Systems

Lectures at the summer school on "Monte Carlo and Molecular Dynamics of Condensed Matter Systems", Como, Italy, July 1995.
A.P. Young
Edited by K. Binder and G. Ciccotti, Published by the Italian Physical Society (1994).

These lectures discuss the theory of phase transitions and critical phenomena in random systems. First a discussion is given of the basic principles, including averaging, the concept of frustration, and the Harris criterion for deciding whether weak randomness is relevant. This is followed by the study of several examples: weakly random ferromagnets, the percolation problem, the random field problem and spin glasses.

Paper: Postscript

Peter Young's Home Page

Physics Home Page