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.

Organisational Matters

TuCan Statistical Thermodynamics and Molecular Gas Dynamics
Course Bachelor 4CP – Electives
Semester Winter
Lecturer Prof. Dr.-Ing. Christian Hasse
Prof. Dr. rer. nat. Steffen Hardt
Examination format Summer semester: Written exam
Winter semester: Written exam
Language German
Format Lecture + Exercises
Consultation hours Will be announced before each exam via Moodle
Otherwise by arrangement