Short review of the role of fluctuations in equilibrium many body systems; space- and time correlations; fluctuation dissipation theorem. Phase transitions - phenomenology, examples, common properties, classification. Mean-field theories. Simple models, exact solutions, approximate methods. Scaling concept and universality of critical behaviour. Renormalization group, Wilson's expansion, real space RG. Quantum phase transitions, examples of quantum-classical correspondence. Percolation and fractals. Disorder, frustration and complex forms of ordering. Self-organized complex systems. Phase transitions in systems far from equilibrium
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- Landau & Lifshitz: Statistical Physics (3rd edition), Elsevier, 2013
- H. E. Stanley: Introduction to phase transitions and critical phenomena, Oxford Univ. Press, 1971
- N. Goldenfeld: Lectures on phase transitions and the renormalization group, Westview press, 1992
- P. Pfeuty, G. Toulouse: Introduction to renormalisation group nad to critical phenomena, John Wiley and Sons, 1977
- J.P. Cardy: Scaling and renormalization in statistical physics, Cambridge Univ. Press, 1996
- Shang-Keng Ma: Modern theory of critical phenomena, Westview press, 1976
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