Learning objectives
Knowledge of quantum statistics and phase transitions, together with their more advanced applications. Basic knowledge of the physics of disordered systems.
Prerequisites
Knowledge of the basic elements of classical statistical mechanics of equilibrium systems.
Course unit content
<br />Mathematical theory of (Kolmogorov's axiomatic) probability. <br />
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Stochastic processes and physical applications. <br />
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Markov chains and random walks. <br />
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Non-equilibrium phenomena and Boltzmann's equation. <br />
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Phase transitions and critical phenomena. <br />
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Quantum statistics and physical applications. <br />
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Quantum collective phenomena - Bose-Einstein condensation, Superfluidity, Superconductivity <br />
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Physics of disordered systems. Percolation. Fractals. <br />
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Statistics of polymers. <br />
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Introduction to the physics of soft matter.
Full programme
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Bibliography
B.Gnedenko, Teoria della probabilita, Editori Riuniti <br />
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Y. Rozanov, Processus Aleatoires, MIR <br />
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L. Peliti, Appunti di Meccanica Statistica, Boringhieri
Teaching methods
Classroom lectures and exercises. <br />
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Written exam, possibly supplemented by a preliminary oral exam.
Assessment methods and criteria
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Other information
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