*
The statistical foundations of thermodynamics. Micro-canonical, canonical,
and grand canonical ensembles. Quantum statistics. Ideal Bose and Fermi
systems. Fluctuations and linear-response theory. Phase transitions and
critical phenomena.
*

*
Each student must investigate an advanced topic in statistical mechanics to
be agreed upon with the instructor, and present their findings in a 15-minute
oral presentation.
*

Extra credit problems due 4pm Wednesday November 22
(worth 15 exam points).

**Thanksgiving week office hours: Tuesday 2-4pm.**

**Homework (due in blue box outside PAS 224):**

HW1 due 4pm Friday Sept. 1

HW2 due 4pm Friday Sept. 8

HW3 due 9am Monday Sept. 18 (deadline extended)

HW4 due 4pm Friday Sept. 22

HW5 due 4pm Monday Oct. 9 (deadline extended)

HW6 due 4pm Friday Oct. 27 (deadline extended)

HW7 due 4pm Monday Nov. 13 (deadline extended)

HW8 due 4pm Monday Nov. 27

Textbook *Statistical Mechanics and Applications in Condensed Matter* available on amazon.com and at UA Bookstore.

Course information

Schedule of topics, reading, and exams

**Office hours:** Thursday 2-4pm,
or contact me

**Solutions:**

HW1
HW2
HW3
HW4
HW5
HW6
HW7

Midterm 1
Midterm 2

Grades available on d2l

**Lecture notes:**

Lec 1: The Laws of Thermodynamics

Lec 2: Statistical basis of thermodynamics

Lec 3: Classical ideal gas

Lec 4: Introduction to ensemble theory

Lec 5: Micro-canonical ensemble

Lec 6: Canonical ensemble

Lec 7: Canonical ensemble II

Lec 8: Paramagnetism

Lec 9: Grand canonical ensemble

Lec 10: The density matrix

Lec 11: Quantum statistics (cont.)

Lec 12: Reduced density matrix

Lec 13: Quantum many-particle systems

Lec 14: Quantum ideal gas

Lec 15: Fermi gas

Lec 16: Fermi gas II

Lec 17: Ideal Bose gas

Lec 18: Photons and phonons

Lec. 19: Quantum theory of a harmonic crystal

Lec. 20: Fluctuations in a 1D harmonic system

Lec. 21: Superconductivity I: Meissner effect

Lec. 22: Superconductivity II: Ginzburg-Landau theory

Lec. 23: Electrical noise in a resistor

Lec. 24: Thermoelectric effects and linear response theory

**Additional references:**

David Tong, *Lectures on Statistical Physics* (Cambridge University, 2012)

Information: From Maxwell's demon to Landauer's eraser, *Physics Today* (September 2015).

Thermodynamics and Statistical Mechanics at Negative Absolute Temperatures,
Norman F. Ramsey, Phys. Rev. **103**, 20 (1956).

Topological Phase Transitions and Topological Phases of Matter Nobel Prize in Physics (2016).