Critical point, scale invariance, critical exponents. Computational techniques in statistical physics: molecular dynamics and Monte Carlo method.Introduction to the statistical physics of liquids.Paramagnetism: dipoles in a magnetic field. Systems of independent harmonic oscillators. Statistical physics of photon gas: thermal radiation. Completely degenerate relativistic fermion gas. Statistical model of the atom: Thomas-Fermi model. Relativistic degenerate fermion gas: Chandrasekhar model of white dwarf stars. Degenerate ideal fermion gas: Fermi energy. Equation of state of the ideal quantum gas. Quantum indistinguishability: bosons and fermions. Lesson 5: INTRODUCTION TO THE IDEAL QUANTUM GAS. Appendices: The rigid rotor in quantum mechanics. Molecular structure: rotational, vibrational, and electronic degrees of freedom. Canonical partition function and thermodynamics of the Boltzmann gas. Appendices: Grand canonical fluctuations of energy. Grand canonical fluctuations in the number of particles. Lesson 3: FLUCTUATIONS, EQUIVALENCE OF ENSEMBLES, AND THERMODYNAMIC LIMIT. Appendices: Quantum effects in the classical limit. Construction of ensembles: Boltzmann's statistical physics. Appendices: Irreversibility: the arrow of time. Quantum formulation and quantum Liouville's theorem. Concept of ensemble and Liouville's theorem. Lesson 1: INTRODUCTION, FUNDAMENTALS, AND POSTULATES.
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