| Time/place: |
Lecture
(eKVV):
Mon & Wed 08:30-10:00 in D6-135
Tutorials
(eKVV):
Fri 08:30-10:00 in D6-135
Instructor: Nicolas Borghini (borghini at physik dot uni-bielefeld dot de)
E6-123
Tutor: Steffen Feld
Oral exam, registration at the end of the semester
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| Homepage: |
http://www.physik.uni-bielefeld.de/~borghini/Teaching/Nonequilibrium16
→ latest version of the lecture:
http://www.physik.uni-bielefeld.de/~borghini/Teaching/Nonequilibrium
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| News: |
Lecture evaluation: the outcome
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| Prerequisites: |
Classical mechanics, Special Relativity, Thermodynamics & Statistical physics
(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
April 11
Reminder on equilibrium thermodynamics
April 13
Thermodynamics of irreversible processes: description
April 18
Linear irreversible processes: generalities
April 20
Linear irreversible processes: first examples
April 25
Linear irreversible processes in simple fluids
Kinetic equations
April 27
Random variables
May 2
Probabilistic description of classical many-body systems
May 4 & 9
Reduced phase-space densities & their time evolution; BBGKY hierarchy
May 9 & 11
Boltzmann equation: assumptions and derivation
May 18
Boltzmann equation: balance equations & H-theorem
May 23
Boltzmann equation: equilibrium solutions
May 25
Boltzmann equation: computation of transport coefficients
May 27
Relativistic Boltzmann equation
(part A of Relativistic kinetic theory by de Groot et al.)
May 30
Approximate solutions of the Boltzmann equation
Brownian motion & stochastic processes
June 1
Stochastic processes
June 6
Langevin model of Brownian motion
June 8
Spectral analysis of stationary stochastic processes
June 13
Spectral analysis of the Langevin model
Markovian stochastic processes
June 15
Fokker-Planck equation
June 20
Diffusion in position space and in phase space
Linear response theory
June 22
Probabilistic description of quantum mechanical many-body systems
June 27
Linear response function & generalized susceptibility
June 29
Symmetric & canonical correlation functions, spectral density; Kubo formula
July 4
Green-Kubo relation; spectral density vs. dissipation
July 6
Fluctuation-dissipation theorem; canonical correlation function vs. relaxation
July 11
Generalized reciprocal relations; sum rules
July 13
Quantum Brownian motion
July 18 & 20
Mori-Zwanzig formalism
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