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Selected Chapters on Nonequilibrium Statistical Physics II - NTMF068

Title:	Vybrané kapitoly z nerovnovážné statistické fyziky II
Guaranteed by:	Institute of Theoretical Physics (32-UTF)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2014
Semester:	summer
E-Credits:	3
Hours per week, examination:	summer s.:2/0, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech, English
Teaching methods:	full-time

Guarantor:	RNDr. Karel Netočný, Ph.D.
Teacher(s):	RNDr. Karel Netočný, Ph.D.
Comes under:	Doporučené přednášky 1/2

Opinion survey results Examination dates SS schedule Noticeboard

Annotation -

The second part is devoted to some aspects of the time-scale separation, which is responsible both for the Markovian behavior of relevant ("slow") degrees of freedom for small open systems and for the autonomous dynamics of macroscopic systems. We also discuss basic stochastic models of interacting particles, their macroscopic limit and fluctuations. For the 1st and 2nd year and for doctoral students.

Last update: Podolský Jiří, prof. RNDr., CSc., DSc. (29.04.2019)

Course completion requirements -

The exam is oral. The requirements correspond to the syllabus of the subject in the scope that was presented at the lecture.

Last update: Netočný Karel, RNDr., Ph.D. (13.10.2017)

Literature -

H.-P. Breuer and F. Petruccione: The Theory of Open Quantum Systems (Oxford University Press, 2002).

B. Derrida: Non equilibrium steady states: ﬂuctuations and large deviations of the density and of

the current (2007). .

G. Jona-Lasinio: From fluctuations in hydrodynamics to nonequilibrium thermodynamics, Prog. Theor. Phys. Suppl. 184 (2010) 262-275. .

Last update: T_UTF (17.05.2012)

Requirements to the exam - Czech

Zkouška je ústní. Požadavky odpovídají sylabu předmětu v rozsahu, který byl prezentován na přednášce.

Last update: Houfek Karel, doc. RNDr., Ph.D. (11.06.2019)

Syllabus -

Markovian subdynamics
Slow versus fast degrees of freedom; derivation of the Smoluchowski equation for overdamped diffusion; thermal activation and noise-induced decay of metastable states - Arrhenius and Kramers theories; reduced dynamics of quantum subsystems - Davies weak-coupling theory, quantum Markov processes, rotating-wave approximation.

Stochastic many-body models
Open interacting particle systems as mesoscopic models for diffusion; heat conduction in a chain of coupled oscillators with open ends; Kipnis-Marchior-Presutti model of transport.

Autonomous macroscopic dynamics
Kinetic and diffusive (or "hydrodynamic") scaling; derivation of macroscopic diffusion equations from stochastic exclusion models; local thermodynamic equilibrium; equations of linear non-equilibrium thermodynamics.

Macroscopic fluctuations
Generalized Onsager-Machlup theory of dynamical fluctuations; Onsager-Machlup symmetry breaking; non-equilibrium entropy from typical histories of large fluctuations, Hamilton-Jacobi equations for the entropy, current fluctuations, vortex patterns in two-dimensional transport.

Last update: T_UTF (13.05.2011)