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EQUILIBRIUM AND NON-EQUILIBRIUM STATISTICAL
THERMODYNAMICS
This book gives a self-contained exposition at graduate level of topics that are
generally considered fundamental in modern equilibrium and non-equilibrium sta-
tistical thermodynamics.
The text follows a balanced approach between the macroscopic (thermody-
namic) and microscopic (statistical) points of view. The first half of the book deals
with equilibrium thermodynamics and statistical mechanics. In addition to stan-
dard subjects, such as the canonical and grand canonical ensembles and quantum
statistics, the reader will find a detailed account of broken symmetries, critical
phenomena and the renormalization group, as well as an introduction to numer-
ical methods, with a discussion of the main Monte Carlo algorithms illustrated
by numerous problems. The second half of the book is devoted to non-equilibrium
phenomena, first following a macroscopic approach, with hydrodynamics as an im-
portant example. ic theory receives a thorough treatment through the analysis
of the Boltzmann–Lorentz model and of the Boltzmann equation. The book con-
cludes with general non-equilibrium methods such as linear response, projection
method and the Langevin and Fokker–Planck equations, including numerical sim-
ulations. One notable feature of the book is the large number of problems. Simple
applications are given in 71 exercises, while the student will find more elaborate
challenges in 47 problems, some of which may be used as mini-projects.
This advanced textbook will be of interest to graduate students and researchers
in physics.
MICHEL LE BELLAC graduated from the Ecole Normale Superieure´ and ob-
tained a . in Physics at the Universite´ Paris-Orsay in 1965. He was appointed
Professor of Physics in Nice in 1967. He also spent three years at the Theory Di-
vision at CERN. He has contributed to various aspects of the theory of elementary
particles and recen