PHYS-E0415: Statistical Mechanics

Course name Statistical Mechanics
Course code PHYS-E0415
Abbreviation Statmech
Period I-II
Lecturer Mikko Alava

Description

The course continues PHYS-C0220 Thermodynamics and Statistical Physics. The emphasis is on applying statistical mechanics to solve a wide variety of problems, ranging from phase transitions in condensed matter to applications outside traditional physics.

Course material

Official material

The official textbook is Statistical Mechanics: Entropy, Order Parameters and Complexity by James P. Sethna. Weekly lecture slides are uploaded to MyCourses, but the textbook is the primary learning resource.

Extra material

Lecture notes from other universities can be useful for individual topics.

Contents and workload

Overall workload

Although the amount of material is large, much of it is supplementary. The workload depends on the computational project and on whether you choose to take the optional exam.

Weekly contents

Week Topics
1 Basics
2 Random walks, diffusion equation
3 Correlations, fluctuation–dissipation theorem
4 Ising model, order parameters, Ginzburg–Landau theory
5 Percolation
6 Phase transitions, stability, metastability
7 Entropy
8 Quantum Ising model, quantum phase transitions, quantum annealing
9 Relative entropy, Jarzynski equality

Practicalities

Maximum score: 120 points.

The presentation and computational project are completed in groups. Weekly exercise sessions provide support.

Official prerequisites

Recommended prerequisites: PHYS-C0220 Thermodynamics and Statistical Physics and PHYS-C0210 Quantum Mechanics.

Additional prerequisites

PHYS-E0412 Computational Physics or similar computational experience is beneficial.

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Trivia

The grading is known to be quite lenient, and it is possible to receive a high final grade without taking the optional exam.