Advanced Topics in Statistical Physics
- Thermodynamics and Dynamical Statistics -
Lecture
Thomas Gasenzer
Friday, 9:15-11:00, gHS Pw 12
[
LSF]
Content -
Prerequisites -
Literature
Content:
-
1. Stochastic Processes
- Elements of probability theory
- Introduction to stochastic dynamics
- Markov chains
- Master equation
- Detailed balance
- Brownian Motion and dissipation
- Langevin equation
- Fokker-Planck equation
-
2. From reversible dynamics to irreversibility
- Liouville dynamics in phase space
- Ergodic theorem
- KAM theorem for coupled nonlinear harmonic oscillators
- Quantum density operator and Wigner function
- BBGKY hierarchy
-
3. Hydrodynamic processes
- Hydrodynamic equations
- Dynamic equilibrium fluctuations and near-equilibrium transport
- Onsager's Reciprocity Relations
- Linear response theory, Kubo formalism
- Causality and Kramers-Kronig relations
- Fluctuation-dissipation theorem
- Application: Power absorption
-
4. Transport Theory
- Boltzmann equation
- Boltzmann's H theorem
- Maxwell-Boltzmann distribution
- Linearized Boltzmann and Lorentz-Boltzmann equations
- Diffusion equation and coefficient of self-diffusion
Prerequisites:
-
Quantum Mechanics (Theoretical Physics III), Statistical Mechanics (Theor. Phys. IV)
Literature:
-
R. Balian,
From Microphysics to Macrophysics Vol 1+2,
Springer Verlag 2007.
-
B. Diu, C. Guthmann, D. Lederer, B. Roulet,
Grundlagen der Statistischen Physik,
de Gruyter, 1994.
-
K. Huang,
Statistical Mechanics, Wiley, 1987 (ISBN 0-471-81518-7).
-
L. D. Landau, E. M. Lifshitz,
Lehrbuch der theoretischen Physik, Statistische Physik, Teil 1+2;
Statistical Physics part I+II,
Pergamon Press, 1980 (ISBN 0-7506-3372-7).
-
R.L. Libov,
Kinetic Theory, Prentice Hall, 1990.
-
L. Mandel, E. Wolf,
Optical Coherence and Quantum Optics, CUP, Cambridge, 2008 (ISBN 0-521-41711-2).
-
L.E. Reichl,
A Modern Course in Statistical Physics,
Wiley Interscience, 2nd edition 1998 (ISBN 0-471-59520-9).
-
F. Reif,
Fundamentals of Statistical and Thermal Physics
McGraw-Hill (1965).
-
F. Schwabl
Statistische Mechanik
Springer-Verlag, 2000
(ISBN 3-540-31095-2).
-
M. Toda, R. Kubo, N. Saito,
Statistical Physics, Equilibrium Statistical Mechanics,
Springer Verlag, 2nd edition 1992 (ISBN 3-540-53662-0).
