Statistical Mechanics of Lattice Systems
by Sacha Friedli, Yvan Velenik
Publisher: Cambridge University Press 2017
Number of pages: 590
This motivating textbook gives a friendly, rigorous introduction to fundamental concepts in equilibrium statistical mechanics, covering a selection of specific models, including the Curie-Weiss and Ising models, the Gaussian free field, O(n) models, and models with Kac interactions.
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by J. L. Garcia-Palacios - arXiv
Contents: Stochastic variables; Stochastic processes and Markov processes; The master equation; The Langevin equation; Linear response theory, dynamical susceptibilities, and relaxation times; Langevin and Fokker–Planck equations; etc.
by Sidney Redner - Boston University
The author illustrates non-equilibrium statistical physics by presenting a number of current and paradigmatic examples of systems that are out of equilibrium, and elucidates the range of techniques available to solve these systems.
by R R Horgan - University of Cambridge
These notes are concerned with the physics of phase transitions: the phenomenon that in particular environments, many systems exhibit singularities in the thermodynamic variables which best describe the macroscopic state of the system.
by Soham Biswas - arXiv
Dynamics of Ising models is a much studied phenomenon and has emerged as a rich field of present-day research. An important dynamical feature commonly studied is the quenching phenomenon below the critical temperature ...