Statistical Thermodynamics and Molecular Gas Dynamics

Statistical Thermodynamics: Probability distributions and their properties, micro- and macrostates, microcanonical and canonical ensemble, partition functions, microscopic definition of entropy, generalized forces, ideal gas, fluctuations, equilibrium between two systems, extremum property of entropy, Maxwell velocity distribution, equipartition theorem, mixing entropy

Molecular Gas Dynamics: Molecular scales, Knudsen number, collision parameters, microscopic derivation of diffusive transport and transport coefficients (viscosity, heat conduction, diffusivity), distribution functions, relationship between moments of the distribution function and velocity, density and energy, equilibrium and Maxwell velocity distribution, binary impact, Boltzmann equation, relationship between moments of Boltzmann equation and classical fluid mechanics, BGK model for collision term, Chapman-Enskog theory: Derivation of Navier-Stokes equations from Boltzmann equation.