Course - Stochastic processes and transport theory - FY8907
Stochastic processes and transport theory
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About the course
Course content
The course focuses on central concepts in classical transport theory and their applications. The following topics are treated: 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. The Boltzmann equation, analogies to the Master Equation. Kinetic theory and the Boltzmann-equation, linearized Boltzmann-equation, eigenvalue-problem, hydrodynamic and kinetic modes. An exactly solved model: The Lorentz-gas. Semiclassical Boltzmann equation. Quantum transport in mesoscopic system, Landauer-Buttiker formalism. 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 and quantum transport theory, together with some modern applications.
Learning methods and activities
Lectures and exercises. Lectures and lecture material are in English. Expected workload in the course is 225 hours.
Further on evaluation
The final grade is based on a written exam, which counts 100%. Re-sit exam may be changed from written to oral.
Specific conditions
Admission to a programme of study is required:
Biophysics (PHBIFY)
Physics (PHFY)
Recommended previous knowledge
Good 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 |
|---|---|---|
| TFY4275 | 7.5 sp | Autumn 2010 |
Subject areas
- Physics