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Last update: T_UTF (15.05.2014)
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Last update: doc. RNDr. Karel Houfek, Ph.D. (11.06.2019)
Ústní zkouška |
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Last update: RNDr. Miroslav Kotrla, CSc. (13.05.2011)
M. Plischke and B. Bergensen, Equilibrium statistical physics, World Scientific, Singapore, 1994 (2. vydání) K. Huang, Statistical mechanics, John Wiley & Sons, Singapore, 1987 (2. vydání) G. Parisi, Statistical field theory, Addison Wesley, New York, 1988 C. Itzykson and J.-M. Drouffe, Statistical field theory, vol. 1, Cambridge UP, Cambridge, 1989 J. Cardy, Scaling and renormalization in statistical physics, Cambridge UP, Cambridge, 1996 K. B. Effetov: Advances in Physics 32 (1983) 53. M. E. J. Newman, Networks, Oxford UP, Oxford, 2010
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Last update: doc. RNDr. Karel Houfek, Ph.D. (11.06.2019)
Zkouška je ústní, požadavky odpovídají sylabu, v detailech pak tomu, co bylo během semestru odpřednášeno. |
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Last update: SLANINA/MFF.CUNI.CZ (07.06.2012)
Methods of field theory in satisical physics Landau-Ginzburg model, expansion in interaction parameter, diagrammatic series, resummations, Dyson equation
Disordered systems percolation, magnetic material in random magnetic field, replica method, supersymmetric methods, random matrices, quantum particle in random potential
Renormalization group change of scale, renormalization flow, fixed points (stable, unstable, mixed), proof of scaling hypothesis, extyraction of critical exponents, proof of scaling relations, real-space renormalization group, momentum-space renormalization group, diagrams, epsilon-expansion
Network theory Erd's-Rényi model, small worlds, scale-free networks, robustness of networks, examples: internet, social networks, power grids |