| Time/place: |
Lecture: Wed 08:30-10:00 (D6-135), Thu 08:30-09:15 (D6-135)
(eKVV)
Tutorials: Thu 9:15-10:00 (D6-135)
(eKVV)
Nicolas Borghini
(borghini at physik dot uni-bielefeld dot de)
E6-123
Oral exam; registration at the end of the semester
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| Homepage: |
http://www.physik.uni-bielefeld.de/~borghini/Teaching/Nonequilibrium12
→ latest version of the lecture:
http://www.physik.uni-bielefeld.de/~borghini/Teaching/Nonequilibrium
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| News: |
Results of the evaluation: lecture, tutorials
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| Prerequisites: |
Theoretische Physik I, II & III
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| Literature: |
* Huang: Statistical mechanics
* Kubo, Toda & Hashitsume: Statistical physics II
* Landau & Lifschitz: Course of theoretical physics,
Vol. 5: Statistical physics
Vol. 10: Physical kinetics
* Pottier: Nonequilibrium statistical physics
* Reif: Fundamentals of statistical and thermal physics
* Zwanzig: Nonequilibrium statistical mechanics
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| Content: |
April 4: Reminder on thermostatics
April 5: Thermodynamics of irreversible processes: description
April 11 & 12: Linear irreversible thermodynamical processes: generalities and first examples
April 18: Linear irreversible thermodynamical processes in simple fluids
April 19: Random variables
April 25: Probabilistic description of classical many-body systems
April 26: Probabilistic description of quantum-mechanical many-body systems
May 2: Time evolution of reduced phase-space densities. BBGKY hierarchy
May 3: Boltzmann equation: description of the system
May 9: Boltzmann kinetic equation
May 10: Boltzmann equation: Balance equations and H-theorem
May 23: Equilibrium solutions of the Boltzmann equation. Computation of transport coefficients
May 24: From the Boltzmann equation to hydrodynamics
May 30: Stochastic processes
May 31: Master equation of a Markov process
June 6: Pauli master equation
June 13: Brownian motion: Langevin dynamics
June 14: Spectral analysis of stationary stochastic processes;
Application to the Langevin model
June 20: Fokker-Planck equation
June 27: Linear response: retarded propagator, spectral density
June 28: Linear response: relaxation
July 4: Linear response: canonical and symmetric correlation functions. Example of a harmonic oscillator
July 5: Fluctuation-dissipation theorem. Nyquist relation
July 11: Linear response and symmetries; sum rules. Quantum Brownian particle
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