Statistical Mechanics PCS 8301

Instructor: M Howard Lee


I. General Information

A. Text and References

Text: Statistical Mechanics I. M H Lee

References:

1. Statistical Mechanics, R.K.Pathria, Butterworth/Heinemann, 1996
2. Statistical Mechanics, K.Huang, Wiley, 1987
3. A modern course in statistical physics, L.E.Reichl, Texas, 1980

References to the original papers will be given as needed.


B. Class Attendance--Full attendance expected as well as punctuality.

C. Homework

A set of exercise problems will be given roughly once a week throughout
the semester. The homework is to be turned in one week later from the
date of receipt. The solutions will be graded A, B and C: A=good, B=
acceptable, C=unacceptable.

It is important to do all the homework and do so timely. Failure to
submit the homework may result in a failing grade for the course.

D. Exams

Mid-term and Final

Exams will be based on the materials presented at the lectures and covered
in the homework.

F. Grades

Provided that all the homework has been submitted, the final grades will
be made up by 1/3 from the midterm exam and 2/3 from the final exam. In
borderline cases, the instructor will exercise discretion. The grades from
the homework and classroom participation will be the main factors.

G. Make-Up Classes

Occasionally the instructor must go out of town to attend conferences, to
give seminars and colloquia at other universities. The missed lectures will
be made up on days and times to be agreed upon.


H. Office Hours

Any time preferably in the afternoon. No appointments needed.


II. Topics ( from Table of Contents from Statistical Mechanics I)

Chapter 1. On the foundation of statistical mechanics
Chapter 2. Boltzmann's ansatz or hypothesis on entropy
Chapter 3. Eistein's model in Boltzmann's ansatz
Chapter 4. Einstein's model and formal developments
Chapter 5. Lattice specific heat I. Partition function
Chapter 6. Lattice specific heat II. Debye's theory of solids
Chapter 7. Blackbody radiation and photon gas
Chapter 8. Stephan-Boltzmann law
Chapter 9. Boltzmann's ansatz when there is mixing
Chapter 10. Canonical average: generalization to interacting systems
Chapter 11. Statistical mechanics of magnetism I. Phenomenology
Chapter 12. Statistical mechanics of magnetism II. Paramagnetism
Chapter 13. Statistical mechanics of magnetism III. Ising model
Supplement 1. Lagrange Multipliers
Supplement 2. Physics of small oscillations