This note covers the following topics:
principles of statistical mechanics, applications to simple systems that can be
solved exactly, and the connections with thermodynamics, Classical Nonideal Gas,
Dense Gases and the Liquid State, First Order Phase Transitions, : Second Order
Phase Transitions, Landau Theory, Fluctuations, Kinetic Theory, Boltzmann
Equation, Scattering off Impurities, Brownian Motion, Langevin Equation,
Fokker-Planck Equation, Superfluidity, Vortex Lines, Kosterlitz-Thouless
Transition, Collective Modes in Fermi Liquid, Superconductivity, Monte Carlo
Method, Quantum Monte Carlo.
This
note explains the following topics: Thermodynamics, Introduction to Statistics,
Statistical mechanics, Statistical mechanics of quantum systems, Phase
transitions, Liouville’s theorem .
The book is
addressed to mathematicians physicists of any level. Topics covered includes:
The Ensemble of Microscopic Subsystems, Real gases, The Quantum Statistical
Physics, Ensemble of microscopic subsystems, Quantum gases.
This note covers the following
topics: Recursion Method: Concepts, Probability: Intuition, Ambiguity, Absurdity
and Puzzles, Elements of Probability Theory with Applications, Random Variables,
Stochastic Processes, Brownian Motion, Linear Response and Equilibrium Dynamics,
Zwanzig-Mori Formalism.
This note offers
an introduction to probability, statistical mechanics, and thermodynamics.
Numerous examples are used to illustrate a wide variety of physical phenomena
such as magnetism, polyatomic gases, thermal radiation, electrons in solids, and
noise in electronic devices.