Review of Classical Statistical Physics

Marco Baldovin, Giacomo Gradenigo, Angelo Vulpiani +1 more

Gabriel Teixeira Landi, Mauro Paternostro

Entropy is a fundamental concept in thermodynamics and statistical physics. It governs processes in physics, chemistry, and biology, and its statistical and information theoretical foundations have been supplemented by recent analyses of fluctuations in microscopic and quantum systems. This article presents a review of theoretical and experimental attempts to describe and assess entropy production in a unified manner from the quantum to the classical level.

Olga V. Manko, Luigi Accardi, Guillaume Adenier +5 more

A review of the photon‐number tomography and symplectic tomography as examples of star‐product quantization is presented. The classical statistical mechanics is considered within the framework of the tomographic representation.

Jean Zinn‐Justin

Carlo Heissenberg, Augusto Sagnotti

Statistical physics examines the collective properties of large ensembles of particles, and is a powerful theoretical tool with important applications across many different scientific disciplines. This book provides a detailed introduction to classical and quantum statistical physics, including links to topics at the frontiers of current research. The first part of the book introduces classical ensembles, provides an extensive review of quantum mechanics, and explains how their combination leads directly to the theory of Bose and Fermi gases. This allows a detailed analysis of the quantum properties of matter, and introduces the exotic features of vacuum fluctuations. The second part discusses more advanced topics such as the two-dimensional Ising model and quantum spin chains. This modern text is ideal for advanced undergraduate and graduate students interested in the role of statistical physics in current research. 140 homework problems reinforce key concepts and further develop readers' understanding of the subject.