| Time/place: |
Lecture: Mon & Wed 10:00-12:00 in D6-135
(eKVV)
Tutorials: Thu 10:00-12:00 (D6-135)
(eKVV)
Nicolas Borghini
(borghini at physik dot uni-bielefeld dot de)
E6-123
Tutor: Christian Lang (ch.lang at uni-bielefeld dot de) D6-155
Oral exam; registration at the end of the semester
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| Homepage: |
http://www.physik.uni-bielefeld.de/~borghini/Teaching/Nonequilibrium14-15
→ 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: |
* Boon & Yip: Molecular hydrodynamics
* Huang: Statistical mechanics
* Kubo, Toda & Hashitsume: Statistical physics II
* Landau & Lifschitz: Course of theoretical physics,
Vol. 5: Statistical physics
Vol. 9: Statistical physics, part II
Vol. 10: Physical kinetics
* Pottier: Nonequilibrium statistical physics
* Reif: Fundamentals of statistical and thermal physics
* Zwanzig: Nonequilibrium statistical mechanics
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| Content: |
Thermodynamics of irreversible processes:
Oct. 6: Reminder on thermostatics
Oct. 8: Thermodynamics of irreversible processes: description
Oct. 13: Description of irreversible thermodynamic processes (end). Linear irreversible processes: generalities
Oct. 15: Linear irreversible thermodynamic processes: first examples
Oct. 20: Linear irreversible thermoelectric processes
Oct. 20 & 22: Linear irreversible thermodynamical processes in simple fluids
Distributions of statistical physics:
Oct. 27: Probabilistic description of classical many-body systems
Oct. 29: Probabilistic description of quantum-mechanical many-body systems
Linear response theory:
Nov. 3: Introduction & motivation
Nov. 5: Correlation functions: retarded propagator, spectral density, canonical correlation function, etc
Nov. 10: Dissipation & relaxation
Nov. 12: Properties and relations of the correlation functions
Nov. 17: Onsager relations; properties and relations (2)
Nov. 19: Properties and relations (2b); fluctuation-dissipation theorem; Green-Kubo relations
Nov. 24: Sum rules
Nov. 27: Classical linear response theory
Brownian motion:
Nov. 24: Reminder on random variables; notions on stochastic processes
Nov. 26: Langevin model of Brownian motion
Dec. 1: Spectral analysis of stationary stochastic processes;
application to the Langevin model
Dec. 3: Markovian stochastic processes
Fokker-Planck equation
Dec. 8: Fokker-Planck equation for the Langevin model
Kinetic equations:
Dec. 10: Reduced phase-space densities & their time evolution; BBGKY hierarchy
Dec. 15: Collisionless Boltzmann equation, Vlasov equation
Dec. 15 & 17: Boltzmann equation
Dec. 17 & Jan. 5: Boltzmann equation: Balance equations and H-theorem; equilibrium solutions
Jan. 7 & 12: Boltzmann equation: computation of transport coefficients
Jan. 12 & 14: From the Boltzmann equation to hydrodynamics: conservation laws
Jan. 19: From the Boltzmann equation to hydrodynamics: 0th & 1st order hydrodynamics
Jan. 19 & 21: Orthogonal polynomial solutions of the Boltzmann equation
Jan. 29: Relativistic Boltzmann equation
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