| Time/place: |
Lecture
(eKVV):
Mon 10:15-12:00 & Tue 08:30-10:00 in D6-135
Tutorials
(eKVV):
Wed 10:15-12:00 in D6-135
Instructor: Nicolas Borghini (borghini at physik dot uni-bielefeld dot de)
E6-123
Tutor: Travis Dore
Oral exam, registration at the end of the semester
→ list of exam dates
|
| Homepage: |
http://www.physik.uni-bielefeld.de/~borghini/Teaching/Nonequilibrium
|
| News: |
Contact N.B. to set up the date of your exam!
Outcome of the evaluation
|
| Prerequisites: |
Classical mechanics, Quantum mechanics, (Special Relativity), Thermodynamics & Statistical physics
(in Bielefeld: Theoretische Physik I, II, III)
|
| 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
|
| Content: |
All pages in a (regularly updated) single file
[version of February 9]
Thermodynamics of irreversible processes
October 9 Reminder on equilibrium thermodynamics
October 10 Description of irreversible processes
October 16 Linear irreversible processes: general description
October 17 Linear irreversible processes: first examples
October 23 Linear irreversible processes in simple fluids
Distributions of statistical physics
October 24 Probabilistic description of classical many-body systems
October 30 Quantum-mechanical systems with many degrees of freedom
Linear response theory
October 31 Introduction. Linear response function & generalized susceptibility; Kubo formula
November 6 Symmetric correlation function; spectral density & dissipation
November 7 Canonical correlation function & relaxation
November 13 Green–Kubo relation; (generalized) Onsager relations
November 14 Fluctuation-dissipation theorem; sum rules
November 20 Nonuniform phenomena. Classical linear response
Brownian motion
November 20 & 21 Random variables
November 21 & 27 Stochastic processes: generalities
November 27 Langevin model
November 28 Spectral analysis of stationary processes.
Application to the Langevin model
December 4 Markovian stochastic processes
December 5 Fokker–Planck equation for Markovian processes
December 11 Fokker–Planck equation for the Langevin model. Generalized Langevin dynamics
December 12 Classical Caldeira–Leggett model. (Quantum Brownian motion)
Kinetic equations
December 18 & 19 Reduced phase-space densities & their time evolution; BBGKY hierarchy
January 8 Boltzmann equation: description of the system
January 9 Derivation of the Boltzmann transport equation
January 15 Boltzmann equation: Balance equations, H-theorem
January 16 Solutions of the Boltzmann equation
January 22 Boltzmann equation: computation of transport coefficients
January 23 From the Boltzmann equation to hydrodynamics
January 29 Wigner distribution and Wigner–Weyl formalism
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| Links: |
* Sir Martin Hairer's lecture On coin tosses, atoms and forest fires
* Online version of the NIST Handbook of mathematical functions
|