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Statistical Physics

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Author(s): H. S. Reall, ed. Dexter Chua
Series: Cambridge Mathematical Tripos Part II Lecture Notes
Publisher: University of Cambridge
Year: 2017

Language: English
City: Cambridge
Tags: maths; mathematics; math; advanced; college; university; higher; further; pure; applied; thermodynamics; statistical physics; heat; thermal physics

Introduction
Fundamentals of statistical mechanics
Microcanonical ensemble
Pressure, volume and the first law of thermodynamics
The canonical ensemble
Helmholtz free energy
The chemical potential and the grand canonical ensemble
Extensive and intensive properties
Classical gases
The classical partition function
Monoatomic ideal gas
Maxwell distribution
Diatomic gases
Interacting gases
Quantum gases
Density of states
Black-body radiation
Phonons and the Debye model
Quantum ideal gas
Bosons
Bose–Einstein condensation
Fermions
Pauli paramagnetism
Classical thermodynamics
Zeroth and first law
The second law
Carnot cycles
Entropy
Thermodynamic potentials
Third law of thermodynamics
Phase transitions
Liquid-gas transition
Critical point and critical exponents
The Ising model
Landau theory
Index