2024/2025
Statistical Mechanics
Type:
Optional course (faculty)
Delivered by:
Faculty of Mathematics
Where:
Faculty of Mathematics
When:
1, 2 module
Open to:
students of all HSE University campuses
Language:
English
ECTS credits:
6
Course Syllabus
Abstract
In this course you will learn a whole lot of modern physics (classical and quantum) from basic computer programs that you will download, generalize, or write from scratch, discuss, and then hand in. Join in if you are curious (but not necessarily knowledgeable) about algorithms, and about the deep insights into science that you can obtain by the algorithmic approach. Доступ к дисциплине https://www.coursera.org/learn/statistical-mechanics
Learning Objectives
- You will learn a whole lot of modern physics (classical and quantum) from basic computer programs that you will download, generalize, or write from scratch, discuss, and then hand in.
Expected Learning Outcomes
- On completion of the course, the student should know the basic models of Statistical Mechanics and corresponding computer algorithm
Course Contents
- Monte Carlo algorithms (Direct sampling, Markov-chain sampling)
- Hard disks: From Classical Mechanics to Statistical Mechanics
- Entropic interactions and phase transitions
- Sampling and integration
- Density matrices and Path integrals (Quantum Statistical mechanics 1/3)
- Lévy Quantum Paths (Quantum Statistical mechanics 2/3)
- Bose-Einstein condensation (Quantum Statistical mechanics 3/3)
- Ising model -Enumerations and Monte Carlo algorithms
- Dynamic Monte Carlo, simulated annealing
- The Alpha and the Omega of Monte Carlo
Interim Assessment
- 2024/2025 2nd module0,2 домашние задания + 0,35 промежуточный коллоквиум + 0,45 выпускной экзамен
Bibliography
Recommended Core Bibliography
- Baxter, R. J. (1982). Exactly Solved Models in Statistical Mechanics. [Place of publication not identified]: Academic Press. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=1258304
Recommended Additional Bibliography
- Борисёнок, С. В. Квантовая статистическая механика : учебное пособие / С. В. Борисёнок, А. С. Кондратьев. — Москва : ФИЗМАТЛИТ, 2011. — 136 с. — ISBN 978-5-9221-1277-2. — Текст : электронный // Лань : электронно-библиотечная система. — URL: https://e.lanbook.com/book/2672 (дата обращения: 00.00.0000). — Режим доступа: для авториз. пользователей.