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Syllabus for

Academic year
MCC010 - Statistical physics II
 
Owner: FNMAS
5,0 Credits (ECTS 7,5)
Grading: TH - Five, Four, Three, Not passed
Level: D
Department: 59 - MICROTECHNOLOGY AND NANOSCIENCE


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   Contact examiner,  Contact examiner

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 many-particle 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 non-equilibrium 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 non-equilibrium 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 non-equilibrium states.

Content

Concepts of equilibrium statistical physics. Fluctuation around equilibrium. Non-equilibrium thermodynamics, transport coefficients, Onsager relations.
Time evolution of classical non-equilibrium systems: Liouville equation and BBGKY chain.
Boltzmann equation and time irreversibility. Scattering integrals for particle-impurity and particle-particle 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 Fokker-Planck equation. Stochastic oscillator. Nyquist noise in electrical circuits.
Spectral theory for fluctuations, fluctuation-dissipation theorem.
Principles of quantum statistics. Density matrix for simple quantum systems. Evolution of density matrix: relaxation and dephasing.
Pauli master equation. Quantum kinetics of two-level 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.


Page manager Published: Mon 28 Nov 2016.