I have done upto the mean field treatment for ising model from
"Introduction to stat mech" Chandler which is by no means exhaustive.
I have also read Kerson Huang but again only the Ising model is discussed briefly.
I need a book which deals with few more models in detail.
nono. Not at all. A book which introduces mean field theory. Not at all specific to the Ising model. In fact, I need to see how mean field theory treats heisenberg and n-potts state(I like calling it that!) models. How it becomes exact for infinite dimensions, etc
I would love to learn more. The only coupling I know of is nearest neighbour for Ising model. Basically havent ventured beyon spin 1/2 systems!
I am sure I can find it in a library. I would really appreciate some help with my mean field theory issue. I cant find a book which describes various lattice models and their mean field treatments.
Coupling from the past allows one to obtain a sample from the exact critical distribution, say for the Ising model. The nice undergraduate textbook by Haggstrom, Finite Markov Chains and Algorithmic Applications, London Mathematical Society student texts Vol. 52, University of Cambridge Press, 2002, is basically an introduction to this powerful and amazing technique, which can be used to give reliable Monte Carlo estimates of quantities of interest. There are many eprints on the arXiv which have been inspired by the original paper by Wilson and Propp. (See Fig. 12 in this book for a simulation of the 2x2 Ising model on a 15 by 15 square. If that sounds unimpressive, remember that this simulation uses the exact stationary distribution, not an approximation to it, which basically avoids all the problems of mean-field or whatnot.)