This is a two-semester course on statistical mechanics. Basic principles examined in this course are: The laws of thermodynamics and the concepts of temperature, work, heat, and entropy, postulates of classical statistical mechanics, microcanonical, canonical, and grand canonical distributions; applications to lattice vibrations, ideal gas, photon gas, quantum statistical mechanics; Fermi and Bose systems, interacting systems: Cluster expansions, van der Waal's gas, and mean-field theory.
Topics from modern statistical mechanics are explored in the next course in this sequence, 8.334 Statistical Mechanics II. These include: The hydrodynamic limit and classical field theories; phase transitions and broken symmetries: Universality, correlation functions, and scaling theory; the renormalization approach to collective phenomena; dynamic critical behavior; random systems.
Mehran Kardar. 8.333 Statistical Mechanics I: Statistical Mechanics of Particles, Fall 2013. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu
(Accessed 4 Apr, 2016). License: Creative Commons BY-NC-SA
A schematic representation of the gas filled volume used in the kinetic theory calculation of pressure. The box contains N molecules, each with mass m. The direction of molecular motion (shown by the arrows) is random. (Source: University of Reading)