The Statistical Mechanics of Phase Transitions.

Leo P. Kadanoff

Fundamentals of statistical physics: the lectures - a survey one particle and many Gaussian distributions quantum mechanics and lattices. Random dynamics: diffusion and hopping from hops to statistical mechanics correlations and response. More statistical mechanics: statistical thermodynamics Fermi, Bose, and other. Phase transitions: overview of phase transitions mean field theory of critical behaviour continuous phase transitions renormalization in one dimension real space renormalization techniques duality planar model and Coulomb systems XY model, renormalization and duality.

Lorenza Saitta, Attilio Giordana, Antoine Cornuéjols

David Ward Taylor

We derive the statistical mechanics of knowledge systems, demonstrating that information undergoes phase transitions governed by the same thermodynamics as physical matter. Knowledge crystallization, decoherence, and interference are natural consequences of conservation-bounded epistemic dynamics. Paper T4.

G. Toulouse

Sergei Vladimirovich Tyablikov

Biman Bagchi

Overview This brief chapter contains one of the most beautiful and at the same time most important results of Statistical Mechanics, obtained by Yang and Lee in 1952. This work served to settle some of the lingering doubts on the ability of Statistical Mechanics to describe phase transition in general. In the process this work provided some of the far reaching results, and even created language (like zeros of partition function) of SM.