Course - Stochastic processes and transport theory - TFY4275
TFY4275 - Stochastic processes and transport theory
About
Lessons are not given in the academic year 2023/2024
Course content
The course focuses on central concepts in classical transport theory and their applications. The following topics are treated: Hydrodynamics, kinetic theory and the Boltzmann-equation, linearized Boltzmann-equation, eigenvalue-problem, hydrodynamic and kinetic modes. Chapman-Enskog expansion, the Lorentz-gas. Stochastic variables, stochastic processes, Markov processes, Langevin-equation. Correlation functions, Wiener-Khinchin theorem, fluctuation-dissipation theorem, Chapman-Kolomogorov-Smoluchowski equations, the Master equation, Fokker-Planck Equation, moment-equations. Analogies between the Boltzmann-equation and the Master-Equation, and between moment-equations and the hydrodynamic conservation laws. Emphasis will be placed on the physical contents and applications of transport theory.
Learning outcome
The course provides a general introduction to the fundamental concepts and principles of classical transport theory, together with some modern applications.
Learning methods and activities
Lectures and exercises. Lectures and lecture material are in English. Expected work load in the course is 225 hours.
Further on evaluation
The final grade in the course is based on written exam, which counts 100% of the final grade. Resit exam may be changed from written to oral.
Recommended previous knowledge
Basic skills in physics, mathematics and statistics.
Course materials
Reading material will be distributed at the start of the semester.
Credit reductions
Course code | Reduction | From | To |
---|---|---|---|
SIF4074 | 7.5 | ||
FY8907 | 7.5 | AUTUMN 2010 |
No
Version: 1
Credits:
7.5 SP
Study level: Second degree level
No
Language of instruction: English
Location: Trondheim
- Physics
Department with academic responsibility
Department of Physics
Examination
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"