MU08108 Statistical Physics and Thermodynamics

Mathematical Institute in Opava
Winter 2010
Extent and Intensity
2/2/0. 4 credit(s). Type of Completion: zk (examination).
Guaranteed by
prof. RNDr. Artur Sergyeyev, Ph.D., DSc.
Mathematical Institute in Opava
Prerequisites (in Czech)
MU08102 Termodynamics and Stat. Phys.
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
In these lectures the thermodynamic principles are derived, as far as possible, from the principles of quantum mechanics of many particle systems, and the students are introduced to the basics of statistical physics.
Syllabus
  • Phase space, Hilbert space, distribution function, density matrix, Liouville equation.
    Second quantization and the Fock space, ideal and non-ideal quantum gases, two-particle interaction.
    Microcanonical, Gibbs canonical and macrocanonical ensemble, open system statistics. The main thermodynamic theorems and their consequences, thermodynamic potentials, Maxwell relations, thermodynamic processes.
    Maxwell-Boltzmann statistics: Maxwell-Boltzmann distribution, width of spectral lines, equipartition theorem and the heat capacity, one-and diatomic ideal gas, relation between quantum and classical statistical physics, Gibbs paradox, paramagnetism and ferromagnetism.
    Entropy and information: Entropy and its properties, Maxwell's demon, the relationship of thermodynamics and information theory, quantum computing.
    Heat capacity of solids: Dulongův - Petitův law, Einstein model, Debye model of crystal. Bose-Einstein and Fermi-Dirac distribution, Bose-Einstein condensation for bosonic gas, black body radiation, ideal and degenerate fermionic gas. Fluctuation of energy and particle number fluctuations of thermodynamic quantities.
Literature
    recommended literature
  • J. Kvasnica. Statistická fyzika. Academia, Praha, 1998. info
  • M. Toda , R. Kubo, N. Saito. Statistical Physics I. Springer, 1992. info
  • L. E. Reichl. A modern course in statistical physics. University of Texas Press, Austin, 1980. info
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Teacher's information
Oral exam; further requirements to be specified in the course of the semester.
The course is also listed under the following terms Winter 1999, Winter 2000, Winter 2001, Winter 2002, Winter 2003, Winter 2004, Winter 2005, Winter 2006, Winter 2007, Winter 2008, Winter 2009, Winter 2011.
  • Enrolment Statistics (Winter 2010, recent)
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