Teaching language: English
Course module 

Credit distribution 

Examination dates 
Sp1 
Sp2 
Sp3 
Sp4 

No Sp 
0106 
Examination 
5,0 c 
Grading: TH 




5,0 c




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In programs
TTFYA ENGINEERING PHYSICS, Year 4 (elective)
FNMAS MSc PROGRAMME IN NANOSCALE SCIENCE AND TECHNOLOGY, Year 1 (compulsory)
Examiner:
Professor
Vitaly Shumeiko
Eligibility:
For single subject courses within Chalmers programmes the same eligibility requirements apply, as to the programme(s) that the course is part of.
Course specific prerequisites
Introductory courses in Thermodynamics and Statistical Physics, Stochastic Processes, and Quantum Mechanics.
Aim
Great majority of physical, chemical, and biological processes occur outside the thermodynamic equilibrium. How to describe manyparticle system driven away from equilibrium, or evolving towards the equilibrium due to an interaction with an environment? In contrast to the universality of the thermodynamics, the nonequilibrium evolution is system specific and requires individual approach. The purpose of the course is to introduce basic concepts of kinetic theory for both the classical and quantum systems, and to study practical tools to investigate nonequilibrium states. We will discuss the origin of irreversible evolution, hierarchy of relaxation processes, transport phenomena, Brownian motion, and fluctuations.
Goal
The purpose of the course is to introduce basic concepts of kinetic theory for both the classical and quantum systems, and to study practical tools to investigate nonequilibrium states.
Content
Concepts of equilibrium statistical physics. Fluctuation around equilibrium. Nonequilibrium thermodynamics, transport coefficients, Onsager relations.
Time evolution of classical nonequilibrium systems: Liouville equation and BBGKY chain.
Boltzmann equation and time irreversibility. Scattering integrals for particleimpurity and particleparticle scattering. Local equilibrium, hierarchy of relaxation times.
Hydrodynamics and diffusion.
Applications of Boltzmann equation to transport theory.
Macroscopic particle in an environment. Langevin equation, and FokkerPlanck equation. Stochastic oscillator. Nyquist noise in electrical circuits.
Spectral theory for fluctuations, fluctuationdissipation theorem.
Principles of quantum statistics. Density matrix for simple quantum systems. Evolution of density matrix: relaxation and dephasing.
Pauli master equation. Quantum kinetics of twolevel systems. Kinetic equation in quantum optics.
Linear response theory, and quantum fluctuation dissipation theorem.
Literature
L. E. Reichl, "A Modern Course in Statistical Physics" (Wiley, NY, 1998).
Lecture notes.
Examination
Homework assignments. Written exam.