*This World Wide Web page written by
Dan Styer,
Oberlin College Department of Physics and Astronomy ;
http://www.oberlin.edu/physics/dstyer/StatMech/Assignments/assignments.html;
last updated 19 April 2024.*

*
Statistical Mechanics home page
*

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**Assignment 1** (due Friday, 9 February):
Problems 1.1, 1.2, 1.3, and 1.5.

**Model Solutions 1:**

- Problem 1.1 The rotating water glass (PDF)
- Problem 1.2 Compressibility, expansion coefficient (PDF)
- Problem 1.3 Heat capacity as a susceptibility (PDF)
- Problem 1.5 Human genetics (PDF)

**Assignment 2** (due Friday, 16 February):
Problems 2.6, 2.8, 2.9, 2.11, and D.1.
(Look at problems 2.4, 2.10, and D.2.)

**Model Solutions 2:**

- Problem 2.6 Lost in space (PDF)
- Problem 2.8 Accessible regions of phase space (PDF)
- Problem 2.9 Accessible configurations of a spin system (PDF)
- Problem 2.11 The logarithm (PDF)
- Problem D.1 Volume of a d-dimensional sphere (PDF)

**Assignment 3** (due Friday, 23 February):
Problems 2.12, 2.15, 2.23, 2.24, and 2.27.
(Look at problems 2.16 through 2.21.)

**Model Solutions 3:**

- Problem 2.12 Entropy of a spin system (PDF)
- Problem 2.15 Other worlds (PDF)
- Problem 2.23 Chemical potential of an ideal gas (PDF)
- Problem 2.24 Ideal paramagnet, take three (PDF)
- Problem 2.27 Entropy as a function of mass (PDF)

**Assignment 4** (due Friday, 1 March):
Problems 3.5, 3.16, 3.17.

**Model Solutions 4:**

- Problem 3.5 Work in terms of p and V (PDF)
- Problem 3.16 Acceptable forms for the entropy (PDF)
- Problem 3.17 Heat capacities for the ideal gas (PDF)

**Assignment 5** (due Friday, 8 March):
Take home exam.

**Model Solutions for Exam (PDF)**

**Assignment 6** (due Friday, 15 March):
Problems 3.30, 3.32, 3.34, 3.35, and 3.37.

- Problem 3.30 Magnetic systems (PDF)
- Problem 3.32 Heat capacity at constant pressure (PDF)
- Problem 3.34 Heat capacities in a magnetic system (PDF)
- Problem 3.35 Isothermal compressibility (PDF)
- Problem 3.37 Isothermal vs. adiabatic compressibility (PDF)

**SPRING BREAK**

**Assignment 7** (due Friday, 5 April):
Problems 4.3, 4.9, 4.10, and 4.13.
(Look at problem 4.12.)

**Model Solutions 7:**

- Problem 4.3 Entropy in the canonical ensemble (PDF)
- Problem 4.9 Fluctuation-susceptibility relation for a magnetic system (PDF)
- Problem 4.10 Two definitions of magnetization (PDF)
- Problem 4.13 Parametric differentiation in quantum mechanics (PDF)

**Assignment 8** (due Friday, 12 April):
Problems 4.6, 4.7, 5.6, and 5.7.
(Look at problems 4.8 and 4.15.)

**Model Solutions 8:**

- Problem 4.6 Number fluctuations in the grand canonical ensemble (PDF)
- Problem 4.7 Classical monatomic ideal gas in the grand canonical ensemble (PDF)
- Problem 5.6 Schottky anomaly (PDF)
- Problem 5.7 Simple harmonic oscillator (PDF)

**Assignment 9** (due Friday, 19 April):
Oral exam.
(The oral exam will concern the ideal paramagnet. I recommend that you review
your solutions to problems 2.9 and 2.12. You may also want to examine these
tips for oral exams (PDF).)

**Assignment 10** (due Friday, 26 April):
Problems 6.12 and 6.20.
(Look at problems 6.11 and 6.13.)

**Model Solutions 10:**

- Problem 6.12 Isothermal compressibility of quantal ideal gases (PDF)
- Problem 6.20 Thermodynamics of the fermion gas (PDF)

**Assignment 11** (due Friday, 3 May):
Problems 6.22, 6.24, 7.4, and 7.5.
(Look at problems 6.25 and 7.1.)

**Model Solutions 11:**

- Problem 6.22 White dwarf stars (PDF)
- Problem 6.24 Thermodynamics of the Bose condensate (PDF)
- Problems 7.4 and 7.5 Debye frequency; Debye model energy and heat capacity (PDF)

**Assignment 12** (due Friday, 10 May):
Problem 9.1.

**Model Solutions 12:**

- Problem 9.1 Denaturization of DNA (PDF)