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Course, academic year 2018/2019
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Nonequilibrium Statistical Physics and Thermodynamics - NFPL004
Title in English: Nerovnovážná statistická fyzika a termodynamika
Guaranteed by: Institute of Physics of Charles University (32-FUUK)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018 to 2019
Semester: winter
E-Credits: 3
Hours per week, examination: winter s.:2/0 Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech
Teaching methods: full-time
Guarantor: doc. Mgr. František Šanda, Ph.D.
Classification: Physics > Solid State Physics
Annotation -
Last update: SANDA/MFF.CUNI.CZ (07.05.2008)
Many body statistics,Boltzmann equation. Stochastic dynamics. Brownian diffusion, Anomalous diffusion, Quantum dynamics with bath noise,Projection methods, stochastic quantum dynamics, Response theory, Statistics of mesoscopic systems
Aim of the course -
Last update: doc. Mgr. František Šanda, Ph.D. (20.10.2017)

Students will be introduced into the subject of nonequilibrium statistical physics,

and learns the most important techniques for description of nequilibrium processes.

Course completion requirements - Czech
Last update: doc. Mgr. František Šanda, Ph.D. (20.10.2017)

Ústní zkouška zaměřená na cca 3 témata vybraná v souladu se zájmem studenta.

Literature - Czech
Last update: doc. Mgr. František Šanda, Ph.D. (20.10.2017)

skripta k přednášce: František Šanda, Nerovnovážná statistická fyzika, Matfyzpress, 2011.

další doporučená literatura:

R.Kubo, M.Toda, N.Hashitsume: Statistical Physics II: Nonequilibrium Statistical Mechanics. Springer, 1985

H. Risken: Fokker-Planck Equation, Springer 1989.

N.G. van Kampen: Stochastic Processes in Physics and Chemistry, North Holland 2001.

Teaching methods -
Last update: doc. Mgr. František Šanda, Ph.D. (20.10.2017)


Requirements to the exam - Czech
Last update: doc. Mgr. František Šanda, Ph.D. (12.06.2019)

Podrobná znalost cca tří kapitol ze skript, zvolených dle vlastního zájmu, povšechná zbývajících.

Syllabus -
Last update: doc. Mgr. František Šanda, Ph.D. (20.10.2017)

Statistical description of many-body dynamics. BBGKY hierarchy of evolution equations.

Quasi(classical) particle out of equilibrium -Boltzmann equation ,

Diffusion dynamics- stochastic (Langevin) dynamics, Difusion equation (Ficks, Fokker-Planck), Fractals of Brownian motion;

Anomalous statistics and diffusion- Levy skew alpha-stable distribution, Levy walks, sub- and super-diffusion,

Quantum dynamics of stochastic or open systems-Liouville space, projection methods, convolution and convolutionless master equations, stochastic quantum dynamics.

Kubo retheory of response - Response functions and analytic properties (, Kramers-Kronig relation, Wiener-Khintchine theorem, Onsager reciprocity). Line-shape theory

Gaussian processes: microscopic quantum model, cumulants,

Nonequilibrium thermodynamics- Fluctuation theorems, Jarzynski relation, linear thermodynamics

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