Elementary Principles of Statistical Mechanics
by Josiah Willard Gibbs
Publisher: Charles Scribner's Sons 1902
Number of pages: 273
Written by J. Willard Gibbs, the most distinguished American mathematical physicist of the nineteenth century, this book was the first to bring together and arrange in logical order the works of Clausius, Maxwell, Boltzmann, and Gibbs himself. The lucid, advanced-level text remains a valuable collection of fundamental equations and principles.
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by Daniel Arovas - University of California, San Diego
Contents: Probability 2. Thermodynamics 3. Ergodicity and the Approach to Equilibrium 4. Statistical Ensembles 5. Noninteracting Quantum Systems 6. Classical Interacting Systems 7. Mean Field Theory of Phase Transitions 8. Nonequilibrium Phenomena.
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 Doron Cohen - arXiv
These are notes for quantum and statistical mechanics courses. Topics covered: master equations; non-equilibrium processes; fluctuation theorems; linear response theory; adiabatic transport; the Kubo formalism; scattering approach to mesoscopics.
by Christophe Garban, Jeffrey E. Steif - arXiv
The goal of this set of lectures is to combine two seemingly unrelated topics: (1) The study of Boolean functions, a field particularly active in computer science; (2) Some models in statistical physics, mostly percolation.