Table of Contents

Part 1: General principle.- Kinetic theory of gas molecules.- A model of the ideal gas.- Spatial distribution of molecules and fluctuation.- Velocity distribution of molecules.- Pressure of the ideal gas.- Maxwell distribution.- Entropy.- Micro-canonical distribution number of states and density of states.- Condition of thermal equilibrium and derivative of the entropy.- Partition function and free energy.- Canonical distribution.- Grand canonical distribution.- Partition function.- Free energy.- Internal energy.- Part 2: Applications.- Ideal gas.- Quantum mechanics of gas molecules.- Phase space and number of states.- Entropy of the ideal gas.- Pressure of the ideal gas by quantum mechanics.- Temperature and pressure by statistical mechanics.- Partition function of the ideal gas.- Two-atom molecules.- Specific heat of a solid and black body radiation.- Einstein model.- Debye model.- Black body radiation.- Elasticity of rubber.- Magnet.- Ferromagnet.- Statistical mechanics of free spin.- Phase transition described by mean field theory.- One-dimensional Ising model.- Part 3: Thermodynamics.- Laws of thermodynamics.- Air-conditioner and Engine.- Irreversible process and non-equilibrium states.- Heat and work – the first law.- Reversible process.- The second law.- Principle of air-conditioner and engine.- Coexistence of two phases.