UF03501 Statistical Physics and Kinetics

Faculty of Philosophy and Science in Opava
Summer 2014
Extent and Intensity
2/2/0. 8 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Emil Běták, DrSc. (lecturer)
RNDr. Martin Blaschke, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Emil Běták, DrSc.
Centrum interdisciplinárních studií – Faculty of Philosophy and Science in Opava
Prerequisites (in Czech)
Mikrokanonický, kanonický, grandkanonický soubor a jejich statistické sumy, stavová rovnice ideálního plynu, ekvipartiční teorém, bozony a fermiony a jejich vlastnosti; entropie, volná energie, Gibbsův potenciál (viz Termodynamika a statistická fyzika); přechod mezi souřadnicovou a impulsovou reprezentací, druhé kvantování (viz Kvantová fyzika II).
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Introduction to nonequilibrium statistical physics including phase transitions, methods of theoretical physics and their application to solve the problems.
Syllabus
  • Phase transitions. Classification of phase transitions and the Ehrenfest equations, partition sum, state equation, Ursell-Mayer expansion and the Mayer theorem van der Waals equations and condensation, surface tension and the Laplace pressure, mechanism of creation of a new phase, Ising model of ferromagnetism, Landau theory of phase transitions.
    Fluctuations, stochastic processes and kinetic equations. Fluctuations of thermodynamical quantities, thermodynamically nonequilibrium systems, stochastic sources, Fokker-Planck equation, fundamental kinetic equation, Boltzmann kinetic equation, transport equations, the law of increasing Boltzmann entropy, spontaneous transition of a system into equilibrium state, irreversible processes, locally equilibrium systems, linear thermodynamics, Onsager relations.
    Nonequilibrium systems. Statistical operator, linear response, plasma and plasma effects, zero sound in a fermion system, fluctuation-dissipation theorem, Green functions.
    Prerequisities:
    Microcanonical, canonicak and grandcanonical ensembels and their statistical sums, state equation of ideal gas, equipartition theorem, bosons and fermions and their properties, entropy, free energy, Gibbs potential (see Thermodynamics and statistical physics) relation between the coordinate and the momentum representations, second quantization (see Quantum physics II).
Literature
    recommended literature
  • Čulík, F., Noga, M. Úvod do štatistickej fyziky a termodynamiky. Alfa Bratislava, 1993. info
  • Reif F. Fundamentals of Statistical and Thermal Physics. McGraw-Hill, 1965. info
Teaching methods
Lecture supplemented with a discussion
One-to-One tutorial
Skills demonstration
Assessment methods
Test
The analysis of student 's performance
Credit
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Teacher's information
Credit and examination. The exam is an oral one, at least three questions.
The course is also listed under the following terms Summer 1994, Summer 1995, Summer 1996, Summer 1997, Summer 1998, Summer 1999, Summer 2000, Summer 2001, Summer 2002, Summer 2003, Summer 2004, Summer 2005, Summer 2006, Summer 2007, Summer 2008, Summer 2009, Summer 2010, Summer 2011, Summer 2012, Summer 2013, Summer 2015.
  • Enrolment Statistics (Summer 2014, recent)
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