| Time/place: |
Lecture: Mon & Wed 10:00-12:00 in D6-135)
(eKVV)
Tutorials: Thu 10:00-12:00 (D01-295)
(eKVV)
Nicolas Borghini
(borghini at physik dot uni-bielefeld dot de)
E6-123
Oral exam; registration at the end of the semester
|
| Homepage: |
http://www.physik.uni-bielefeld.de/~borghini/Teaching/Nonequilibrium13-14
→ latest version of the lecture:
http://www.physik.uni-bielefeld.de/~borghini/Teaching/Nonequilibrium
|
| News: |
Results of the evaluation: lecture, tutorials
|
| Prerequisites: |
Theoretische Physik I, II & III
|
| Literature: |
* 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
* Boon & Yip: Molecular hydrodynamics
* Zwanzig: Nonequilibrium statistical mechanics
|
| Content: |
Thermodynamics of irreversible processes
October 14: Reminder on thermostatics
October 16: Thermodynamics of irreversible processes: description
October 21 & 23: Linear irreversible thermodynamical processes: generalities and first examples
October 28 & 30: Linear irreversible thermodynamical processes in simple fluids
Kinetic equations
November 11: Random variables
November 13: Probabilistic description of classical many-body systems
November 18: Time evolution of reduced phase-space densities. BBGKY hierarchy
November 20: Boltzmann equation: collision term
November 25: Boltzmann equation: Balance equations, H-theorem
November 27: no lecture
December 2 & 4: Relativistic Boltzmann equation
December 9: Boltzmann equation: equilibrium solutions; computation of transport coefficients
December 11: From the Boltzmann equation to hydrodynamics
Stochastic processes
December 16: Stochastic processes
December 18: Brownian motion: Langevin model
January 6: Spectral analysis of stationary stochastic processes;
application to the Langevin model
January 8: Fokker-Planck equation
January 13: Fokker-Planck equation for the Langevin model;
generalized Langevin model
Linear response theory
January 15: Reminder on the probabilistic description of quantum-mechanical many-body systems
Linear response: retarded propagator, generalized susceptibility
January 20: Linear response: spectral density & dissipation
January 22: Linear response: canonical & symmetric correlation functions.
Application to the harmonic oscillator
January 27: Fluctuation-dissipation theorem; linear response and symmetries
January 29: Sum rules. Quantum Brownian particle
February 3: Caldeira-Leggett model
February 5: Mori theory & Mori-Langevin equation
|