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• Foundations of statistics, information, entropy
• Statistical description of physical systems
• Ensembles, density of states
• Irreversibility
• State variables, ideal and real gases, thermodynamic potentials, the fundamental laws of thermodynamics,
• Material constants, equilibrium of phases and chemical equilibrium, law of mass action, ideal solutions
• Fermi- and Bose-statistics, ideal quantum gases
• Phase transitions, critical phenomena (Ising model)
• Transport theory (linear response, transport equations, master equation, Boltzmann equation, diffusion)
• The theory of the solid state as an example for a non-relativistic field theory
• Applications, for example specific heat of solids, thermodynamics of the early universe etc.
Goal
After completing the course the students ż have a thorough knowledge and understanding of the laws of thermodynamics and of the description of ensembles in the framework of classical and quantum statistics and there applications to phase transitions, condensed matter, plasma and astrophysics ż have acquired the necessary mathematical knowledge and competence for an in-depth understanding of this research field, ż have advanced competence in the fields of theoretical physics covered by this course, i.e. the ability to analyze physical phenomena using the acquired concepts and techniques, to formulate models and find solutions to specific problems, and to interpret the solutions physically and communicate them efficiently, ż are able to broaden their knowledge and competence in this field of theoretical physics on their own by a systematical study of the literature.
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