course-details-portlet

TFY4275

Stochastic processes and transport theory

Lessons are not given in the academic year 2025/2026

Credits 7.5
Level Second degree level
Language of instruction English
Location Trondheim

About

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 in the course is based on written exam, which counts 100% of the final grade. Re-sit exam may be changed from written to oral.

Course materials

Reading material will be distributed at the start of the semester.

Credit reductions

Course code Reduction From
SIF4074 7.5 sp
FY8907 7.5 sp Autumn 2010
This course has academic overlap with the courses in the table above. If you take overlapping courses, you will receive a credit reduction in the course where you have the lowest grade. If the grades are the same, the reduction will be applied to the course completed most recently.

Subject areas

  • Physics

Contact information

Department with academic responsibility

Department of Physics

Examination

Examination