Thermodynamics & Statistical Mechanics 2 (0321-4111)
Graduate Level Course, Semester B, 2015
School of Physics & Astronomy, Tel Aviv University
Lecturer: Prof. Yacov Kantor
Detailed syllabus
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Stochastic processes, Markovian and Gaussian processes, harmonic analysis, correlation functions, Wiener-Khintchine theorem.
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Brownian motion, random walk, diffusion equation.
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Langevin equation, Einstein relations.
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Fluctuation dissipation theorem.
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Master equation, magnetic resonance, Overhauser effect, computational Monte Carlo method.
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Fokker-Planck equation.
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Boltzmann equation, collision integral, τ-approximation.
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Boltzmann entropy and H-theorem.
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Elementary transport theory and macroscopic continuum theory. Calculation of transport coefficients from Boltzmann equation.
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Quasi-thermodynamics theory of fluctuations, Onsager reciprocal relations.
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Green-Kubo formula.
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Far-from-equilibrium systems: Jarzynski equality and its extensions.
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Linear response theory, Kramers-Krönig relations, dielectric relaxation.
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Collision-less plasma: Vlasov equation, waves, Landau damping.
Supplementary information
Textbooks (any edition of the books can be used)
Main texts that will be used throughout the course:
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Ryogo Kubo, Morikazu Toda, and Natsuki Hashitsume. Statistical Physics II, Nonequilibrium Statistical Mechanics. Springer, Berlin.
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Federick Reif. Fundamentals of Statistical and Thermal Physics. McGraw-Hill, London.
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Linda E. Reichl. A Modern Course in Statistical Physics. Wiley, New York.
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Evgeny M. Lifshitz and Lev P. Pitaevskii. Physical Kinetics. Vol. 10 in Series “Course of Theoretical Physics” by L. D. Landau and E. M. Lifshitz. Pergamon, New York [and Nauka, Moscow (in Russian)].
Texts that will be used only in some parts of the course:
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Hannes Risken, The Fokker-Planck equation, Springer, Berlin.
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Pavel L. Krapivsky, Sideney Redner, and Eli Ben-Naim. A Kinetic View of Statistical Physics. Cambridge University Press.
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Ryogo Kubo. Statistical Mechanics. North-Holland, Amsterdam [and Mir, Moscow (in Russian)].
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Dmitry N. Zubarev. Nonequilibrium Statistical Thermodynamics. Consultants Bureau, New York [and Nauka, Moscow (in Russian)].
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Kerson Huang. Statistical Mechanics. Wiley, New York.
Texts on specific subjects:
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Radu Balescu. Equilibrium and Nonequilibrium Statistical Mechanics. Wiley, New York [and Mir, Moscow (in Russian)].
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Mehran Kardar. Statistical Physics of Particles, Cambridge U. Press.
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Lev D. Landau and Evgeny M. Lifshitz. Statistical Physics: Part 1. Vol. 5 in Series “Course of Theoretical Physics.” Elsevier, Amsterdam [and Nauka, Moscow (in Russian)].
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