Statistical physics

Motivation......Page 7
Deterministic Chaos......Page 8
Atomistic Philosophy......Page 9
Outlook......Page 10
What will we do?......Page 11
Historical Background......Page 13
Temperature......Page 14
Steam Engines......Page 15
Sadi Carnot......Page 16
The Maxwell's Distribution......Page 24
Microscopic states......Page 27
Statistical treatment......Page 28
Equal weight, …microcanonical ensemble......Page 30
Entropy......Page 32
Number of states and density of states......Page 33
Information......Page 35
Normal systems in statistical thermodynamics......Page 36
Temperature......Page 37
Adiabatic process......Page 38
Pressure......Page 39
Equations of state......Page 40
Work and quantity of heat......Page 41
The heat function (enthalpy)......Page 42
Free energy and thermodynamic potential......Page 43
Dependence on the number of particles......Page 44
Derivatives of thermodynamic functions......Page 45
Examples......Page 47
Maximum work and Carnot cycle......Page 48
Thermodynamic inequalities. Thermodynamic stability......Page 51
On phase transitions......Page 52
Spin 12 in a magnetic field......Page 55
The Gibbs distribution......Page 57
The Gibbs distribution for a variable number of particles......Page 59
Classical gas......Page 61
Ideal gases out of equilibrium......Page 70
Fermi and Bose gases of elementary particles......Page 71
Black-body radiation......Page 76
Lattice Vibrations. Phonons......Page 78
Microcanonical ensemble......Page 87
Canonical ensembles......Page 89
Ensembles in quantum statistics......Page 93
The Gaussian distribution......Page 97
Fluctuations of thermodynamic quantities......Page 99
Correlation of fluctuations in time......Page 101
Classical systems......Page 107
Quantum systems......Page 109
The generalized susceptibility......Page 110
Fluctuation-dissipation theorem: Proof......Page 113
Random walks......Page 117
Relation to diffusion......Page 119
Random pulses and shot noise......Page 121
Markov processes......Page 122
Discrete Markov processes. Master equation......Page 123
Continuous Markov processes. Fokker-Planck equation......Page 125
Fluctuations in a vacuum-tube generator......Page 127
Deviation of gases from the ideal state......Page 135
Conditions for phase equilibrium......Page 141
Continuous Phase Transitions......Page 145
Landau Theory......Page 148
Scaling laws......Page 155
Landau-Ginzburg theory......Page 156
Ginzburg-Landau theory of superconductivity (SC)......Page 159
Mean field theory......Page 165
Spatially homogeneous ferromagnets......Page 166
Renormalization framework......Page 167
Classical transport......Page 173
Ballistic transport......Page 176
Notations......Page 181
On the calculation of derivatives from the equation of state......Page 185