Foundations of Statistical Mechanics: in and out of Equilibrium
Dragi Karevski
TL;DR
This paper reviews the foundational principles of equilibrium statistical mechanics and explores recent advances in nonequilibrium phenomena, including fluctuation theorems and Jarzynski equality.
Contribution
It provides a pedagogical clarification of equilibrium foundations and discusses recent developments in nonequilibrium statistical mechanics.
Findings
Clarifies mathematical and physical basis of equilibrium statistical mechanics
Discusses recent nonequilibrium results like fluctuation theorem and Jarzynski equality
Bridges foundational theory with modern nonequilibrium research
Abstract
The first part of the paper is devoted to the foundations, that is the mathematical and physical justification, of equilibrium statistical mechanics. It is a pedagogical attempt, mostly based on Khinchin's presentation, which purpose is to clarify some aspects of the development of statistical mechanics. In the second part, we discuss some recent developments that appeared out of equilibrium, such as fluctuation theorem and Jarzynski equality.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Statistical Mechanics and Entropy · Thermoelastic and Magnetoelastic Phenomena