Review of Thermodynamics
01.
Basic Laws. [Updated Jan 31, 2021]
02.
Thermodynamic Potentials. [Updated Jan 31, 2021]
03.
Second-Order Quantities and Useful Relationships. [Updated Apr 7, 2021]
04.
Important Examples of Thermodynamic Systems. [Updated Feb 27, 2021]
05.
Phase Equilibrium and Phase Transitions. [Updated Jan 31, 2021]
Basic Concepts of Statistical Mechanics
06.
Review of Probability and Statistics. [Updated Mar 23, 2022]
07.
Statistical Mechanics and the Distribution Function. [Updated Feb 1, 2021]
08.
Equilibrium Distribution Functions I: The Microcanonical Ensemble. [Updated Mar 3, 2022]
09.
Equilibrium Distribution Functions II: The Canonical Ensemble. [Updated Mar 2, 2022]
10.
Classical Monatomic Ideal Gas. [Updated Mar 4, 2022]
11. Paramagnetism and Other Simple Systems. [Updated Mar 23, 2022]
12.
Equilibrium Distribution Functions III: The Grand Canonical Ensemble. [Updated Mar 23, 2022]
13. Mixed
Quantum States and the Quantum Canonical Distribution. [Updated Apr 8, 2021]
14. Quantum
Statistics of Identical Particles and Fock Space. [Updated Apr 7, 2021]
Examples of Equilibrium Systems
15. Quantum Monatomic
Ideas Gas and the Classical Limit. [Updated Mar 29, 2021]
16. The
Free Quantum Molecular Gas. [Updated Apr 11, 2021]
17. Bosons 1: The
Free Boson Gas and Bose-Einstein Condensation. [Updated Apr 21, 2021]
18. Bosons 2: The
Photon Gas. [Updated Apr 21, 2021]
19. Bosons 3: The
Phonon Gas. [Updated Apr 14, 2021]
20. Fermions. 1: The
Free Fermion Gas and Electrons in Metals. [Updated Apr 13, 2021]
21. Fermions. 2: Astrophysical Applications. [not covered yet]
22. Non-Ideal
Gases. 1: General Theory. [Updated Apr 30, 2020]
23.
Non-Ideal Gases. 2: Two Important Examples. [Updated Apr 28, 2020]
24.
Magnetism. 2: Diamagnetism. [not covered yet]
25. Magnetism. 3: Mean-Field Ferromagnetism. [Updated Apr 23, 2021]
Phase Transitions and Renormalization, Non-Equilibrium Systems
26. The
1D Ising Model (Exact and Renormalization Group Approach). [Updated Apr 23, 2021]
27. The 2D Ising Model (Renormalization Group Approach). [Updated Apr 27, 2014]
28.
Monte Carlo Simulations 1: The Method (+ Mathematica notebook).
[Updated May 1, 2018]
29.
Monte Carlo Simulations 2: 2D Ising Model (+ Mathematica notebook).
[Updated Apr 30, 2014]
30.
Critical Phenomena: Scaling and Universality. [Preliminary – Updated Feb 5, 2019]
31. Non-Equilibrium
Theory 1: Transport Phenomena. [not covered yet]
32. Non-Equilibrium
Theory 2: Fluctuation-Dissipation Theorem. [not covered yet]
Additional Files
Index
[Updated Apr 22, 2020 – out of date]
List of Symbols [Updated Apr 11, 2021] |