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Contents

• V Full version
• 0 Introduction
• 1 Fundamentals of statistical mechanics
• 1.1 Microcanonical ensemble
• 1.2 Pressure, volume and the first law of thermodynamics
• 1.3 The canonical ensemble
• 1.4 Helmholtz free energy
• 1.5 The chemical potential and the grand canonical ensemble
• 1.6 Extensive and intensive properties
• 2 Classical gases
• 2.1 The classical partition function
• 2.2 Monoatomic ideal gas
• 2.3 Maxwell distribution
• 2.4 Diatomic gases
• 2.5 Interacting gases
• 3 Quantum gases
• 3.1 Density of states
• 3.2 Black-body radiation
• 3.3 Phonons and the Debye model
• 3.4 Quantum ideal gas
• 3.5 Bosons
• 3.6 Bose–Einstein condensation
• 3.7 Fermions
• 3.8 Pauli paramagnetism
• 4 Classical thermodynamics
• 4.1 Zeroth and first law
• 4.2 The second law
• 4.3 Carnot cycles
• 4.4 Entropy
• 4.5 Thermodynamic potentials
• 4.6 Third law of thermodynamics
• 5 Phase transitions
• 5.1 Liquid-gas transition
• 5.2 Critical point and critical exponents
• 5.3 The Ising model
• 5.4 Landau theory