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Institutionernas kurser för doktorander

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Kursplan för

Läsår
TIF106 - Non-equilibrium processes in physics, chemistry and biology
 
Kursplanen fastställd 2012-02-22 av programansvarig (eller motsvarande)
Ägare: MPCAS
7,5 Poäng
Betygskala: TH - Fem, Fyra, Tre, Underkänt
Utbildningsnivå: Avancerad nivå
Huvudområde: Bioteknik, Kemiteknik, Teknisk fysik
Institution: 16 - FYSIK


Undervisningsspråk: Engelska
Sökbar för utbytesstudenter
Blockschema: D

Modul   Poängfördelning   Tentamensdatum
Lp1 Lp2 Lp3 Lp4 Sommarkurs Ej Lp
0111 Tentamen 7,5 hp Betygskala: TH   7,5 hp   28 Maj 2013 em V,  26 Aug 2013 fm M

I program

MPAPP APPLIED PHYSICS, MSC PROGR, Årskurs 1 (valbar)
MPCAS COMPLEX ADAPTIVE SYSTEMS, MSC PROGR, Årskurs 1 (valbar)
MPPAS PHYSICS AND ASTRONOMY, MSC PROGR, Årskurs 2 (valbar)

Examinator:

Univ lektor  Lennart Sjögren
Professor  Vitaly Shumeiko


Ersätter

MCC010   Statistical physics II TIF105   Stochastic processes in physics, chemistry and biology

Kursutvärdering:

http://document.chalmers.se/doc/abc21b91-ae1e-41cc-b44f-1bbad9a65cfd


  Gå till kurshemsida

Behörighet:

För kurser inom Chalmers utbildningsprogram gäller samma behörighetskrav som till de(t) program kursen ingår i.

Kursspecifika förkunskaper

Mathematical analysis and Algebra. Introductory level Thermodynamics and Statistical Physics, Classical and Quantum Mechanics

Syfte

The great majority of physical, chemical, and biological processes occur
outside the thermodynamic equilibrium. How do we 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 and stochastic processes, and to
study practical tools to investigate non-equilibrium states. We will discuss the origin of irreversible evolution and dissipation,
hierarchy of relaxation processes, transport phenomena and noise, Brownian motion. The course includes a
selection of applications to quantum solid state systems, chemical reaction kinetics, and soft matter like colloidal dispersions,
polymers, gels, glasses and biological systems.

Lärandemål (efter fullgjord kurs ska studenten kunna)

In this course the student should acquire a general knowledge of stochastic processes and their use to describe the time evolution of systems in nature; the student will learn basic concepts and practical methods of the kinetic theory for classical and quantum many body systems. The following topics are covered: Statistical description of a dissipative macroscopic system and origin of irreversible evolution. Stochastic processes and basic distributions. Boltzmann equation and transport theory. Langevin theory of classical and quantum Brownian motion. Fluctuation and noise. Applications to physical, chemical and biological systems.

After having taken "Non-equilibrium processes in physics, chemistry and biology"
the student should have acquired

* knowledge of basic concepts and practical methods of the kinetic theory for classical and quantum many particle systems
* understanding the origin of irreversible evolution of physical, chemical, and biological systems, and hierarchy of relaxation processes
* practical skills in solving transport problems, analyzing dissipative and fluctuation phenomena, and effects of environment.
* a general knowledge of stochastic processes and their use to describe the time evolution of systems in nature.

Innehåll

The first half of the course deals with general concepts of non-equilibrium statistical physics and methods to describe dissipative and transport processes in many-body systems. Starting with a simple example of a random walk the basic concepts in probability theory and stochastic processes are introduced. More complex systems are studied via the Boltzmann equation and by considering Markov processes. The latter introduces the study of Master-, Fokker-Planck- and Langevin equations.

The student can choose two different directions for the second part of the course:

1. Quantum non-equilibrium systems
Here we consider applications in modern solid state physics, quantum electronics and optics. We study methods to describe the state and evolution of quantum non-equilibrium systems, linear response theory, problem of quantum noise, relation between fluctuations and dissipation, behavior of quantum particle in an environment.

2. Transport in soft matter and biological systems
Here we study applications in complex systems. We study methods to describe transport processes in various systems like polymers, colloids, soft matter. Description of chemical reactions and Brownian motors. Applications to systems in phsyics, chemistry and biology.

Organisation

The course is based on a series of lectures and exercises. The second half of the course can be organized as a project work.

Litteratur

The content of the course will be covered in lecture notes. Additional reading material (course book) will be specified on the course homepage.

Examination

Home assignmnets and written examination


Sidansvarig Publicerad: må 13 jul 2020.