2025/26 Undergraduate Module Catalogue

PHAS2810 Statistical Mechanics and Condensed Matter (JH)

20 Credits Class Size: 50

Taught: Semesters 1 & 2 (Sep to Jun) View Timetable

Year running 2025/26

Pre-requisite qualifications

Year 1 Physics or equivalent including solid state physics and thermodynamics

Module replaces

PHYS2355

This module is not approved as a discovery module

Module summary

This module covers fundamental physical theories and associated mathematical concepts that underpin the topics of Statistical Mechanics and Condensed Matter.

Objectives

The module covers the theories and concepts of statistical mechanics including using the density of states to explain some of the differences between metals, semiconductors and insulators, deriving the free-electron density of states, performing straight-forward calculations based on the free-electron theory, explaining how a periodic potential modifies the free-electron dispersion relation; solving problems on the transport properties of semiconductors, and calculating the magnetic properties (consistent with the syllabus) of paramagnets and ferromagnets.

Learning outcomes

On successful completion of the module students will be able to demonstrate knowledge, understanding and application of the following:

1. Microstates, macrostates, canonical ensembles and density of states
2. Boltzmann statistics
3. Partition functions
4. Quantum statistical physics
5. Bose-Einstein statistics and photons
6. Fermi-Dirac statistics and Bose-Einstein condensation
7. The Fermi level concept and density of states to explain some of the differences between metals, semiconductors and insulators;
8. Properties of solids using free-electron theory;
9. The effect of periodic potential on the free-electron dispersion relation;
10. Transport properties of semiconductors;
11. Magnetic properties of paramagnets and ferromagnets.

Skills Learning Outcomes

On successful completion of the module students will be able to do the following:

a. Manage time and plan work to meet deadlines
b. Problem solving
c. Application of appropriate mathematics

Syllabus

1. Macrostates and Microstates
2. Boltzmann statistics for distinguishable particles
3. Partition functions
4. Two-level paramagnet
5. Statistics of indistinguishable particles
6. Fermi-Dirac statistics
7. Bose-Einstein statistics
8. Bose-Einstein condensation
9. the Fermi level concept and density of states to explain some of the differences between metals, semiconductors and insulators;
10. the properties of solids using free-electron theory;
11. the effect of periodic potential on the free-electron dispersion relation;
12. Transport properties of semiconductors;
13. Magnetic properties of paramagnets and ferromagnets.

Methods of assessment
The assessment details for this module will be provided at the start of the academic year

Teaching Methods

Delivery type Number Length hours Student hours
Lecture 55 1 55
Independent online learning hours 24
Private study hours 121
Total Contact hours 55
Total hours (100hr per 10 credits) 200

Reading List

The reading list is available from the Library website

Last updated: 30/04/2025

Errors, omissions, failed links etc should be notified to the Catalogue Team