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Cursus: NWI-NB033C
NWI-NB033C
Statistische Mechanica
Cursus informatieRooster
CursusNWI-NB033C
Studiepunten (ECTS)6
CategorieBA (Bachelor)
VoertaalEngels
Aangeboden doorRadboud Universiteit; Faculteit der Natuurwetenschappen, Wiskunde en Informatica; Wiskunde, Natuur- en Sterrenkunde;
Docenten
Coördinator
dr. M. Titov
Overige cursussen docent
Docent
dr. M. Titov
Overige cursussen docent
Contactpersoon van de cursus
dr. M. Titov
Overige cursussen docent
Collegejaar2016
Periode
KW3-KW4  (30-01-2017 t/m 03-09-2017)
Aanvangsblok
KW3
Onderwijsvorm
voltijd
Opmerking-
Inschrijven via OSIRISJa
Inschrijven voor bijvakkersJa
VoorinschrijvingNee
WachtlijstNee
Plaatsingsprocedure-
Cursusdoelen
  • To understand the concept of statistical ensembles: microcanonical, canonical and grand canonical
  • To understand the concept of entropy in the three ensembles
  • To be able to compute the partition function and all basic thermodynamic quantities for a given non-interacting system using both quantum and classical description
  • To become familiar with the concept of second quantization
  • To understand Fermi-Dirac and Bose-Einstein distributions and their relation to Planck and Maxwell-Boltzmann distribution
  • To understand the concept of the order parameter in Landau and Ginzburg-Landau tehory of phase transitions
  • To understand the concepts of Bose condensation and the basics of superfluidity and superconductivity
Inhoud

Statistical mechanics obtains macroscopic laws of thermodynamics from microscopic description of the system. To appreciate the connection it is, therefore, important to understand quantum and classical mechanics as well as theromdynamics. From mathematics side one should be familiar with the concept of probability and with statistical methods in general.

This course gives an introduction to statistical mechanics and is, therefore, focused mostly on (i) equilibrium properties and (ii) model systems. 

Bijzonderheden
This course will be taught in English
Onderwerpen
• Ensemble theory and relation to thermodynamics
• Microcanonical and canonical ensemble
• Classical ideal gas, solid, and magnet
• Quantization of microstates: quasiclassical treatment of ideal gas, solid and magnet
• Grand canonical ensemble
• Fermi and Bose statistics
• Elements of second quantization
• Gas of photons
• Bose-Einstein condensation
• Theory of Fermi gas
• Landau theory of phase transitions
• Ising model: mean-field approach and the exact solution in one dimension
• Classical systems with interactions: virial expansion and van der Waals theory
• Landau-Ginzburg theory for superfluidity and superconductivity
Toetsinformatie
• Written exam
• Bonus point based on the result of the handed in exercises.
Voorkennis
Thermodynamics, Analytical Mechanics, Quantum Mechanics
Literatuur

• R. Bowley and M. Sanchez, Statistical Mechanics, Oxford Univ. Press (2000)
• R. K. Pathria and P. D. Beale, Statistical Mechanics, Third Edition, Academic Press (2011)
Werkvormen
• 32 hours lecture
• 32 hours problem session
• 136 hours individual study period
Aanbevolen materiaal
Boek
R. Bowley and M. Sanchez, Statistical Mechanics, Oxford Univ. Press (2000) R. K. Pathria and P. D. Beale, Statistical Mechanics, Third Edition, Academic Press (2011)
Werkvormen
Cursusgebeurtenis

Hoorcollege

Werkcollege

Zelfstudie

Toetsen
Tentamen
Weging1
GelegenhedenBlok KW4, Blok KW4

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