PHYSICS 524, Thermodynamics Statistical mechanics
MW 9:30-10:50 and F 9:30-10:20 in A114.††
Office hours: after lectures
Instructor Boris Spivak
Office B440, PAB
Books: L.D. Landau, I.M. Lifshitz, Statistical Mechanics Part 1,
Midterm : Nov. 14
Final: 8:30-10:20, Wednesday, Dec. 12, 2012
†Fundamental Principles of Statistical Physics. Chapter I
Microscopic and macroscopic states. Statistical description. Liouvilleís theorem. Gibbs subsystems. Statistical independence. Microcanonical and Canonical distributions (ensembles). Density matrix. Entropy. Second law of thermodynamics.
Jan. 12 Ė††† Thermodynamic Quantities. Chapter II (You may skip sections 17, 26, and 27). Temperature. Macroscopic motion. Adiabatic process. Work and heat. Thermodynamic potentials: Energy E(S,V), Enthalpy W(S,P), Helmholtz free energy F(T,V), the Gibbs free energy (the thermodynamic potential) Φ(T,P). Theorem of small increments. Method of Jacobians. Maximal work in an external medium. Thermodynamic inequalities. Le Chatelierís principle. Nernstís theorem. Dependence on the number of particles, chemical potential μ, and the grand canonical potential Ω(T,V,μ). Equilibrium in an external field.
The Gibbs distribution. Chapter III, sections 28-31, 35, 36.
The Gibbs distribution. The Maxwell distribution. The partition function. Canonical and grand canonical ensemble. Derivation of the thermodynamic relations from the Gibbs distribution.
Ideal gases. Chapter IV, sections 37-48, 52.
Fermi and Bose distributions, Chapter V, sections 53-63.
Fermi distribution from the Gibbs distribution. Degenerate Fermi gas. Degeneracy pressure. Specific heat. Sommerfeld expansion. Landau diamagnetism and Pauli paramagnetism. Degenerate Bose gas, Bose-Einstein condensation. Black body radiation.
Non-ideal gases, Chapter VII, sections 74, 76.
Phase equilibrium, Chapter VIII, sections 81, 82.
Grading policy: Homework- 20%, Midterms - 30%, Final- 50%