Statistical Mechanics (WS 2008/2009)

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Inhalt / topics

  • Review of thermodynamics and elementary statistical mechanics
  • thermal radiation and Planck distribution
  • Gibbs free energy and chemical reactions
  • theory of phase transitions
  • Bosonic and Fermionic statistics
  • lattice gases
  • Van der Waals Gas, virial expansion
  • various statistical ensembles

Vorkenntnisse / previous knowledge

  • classical mechanics
  • thermodynamics

Studiennachweis / record of study

  • Regelmäßige Teilnahme an Übung, plus erledigen der Übungsaufgaben mit einem finalen Ergebnis von mindestens 60 Punkten aus den Übungaufgaben und den kurzen Fragebögen aus der Übung ( entspricht 50 % der Gesamtpunktzahl )
  • regular participation during the exercise course, plus solving the exercises getting a final result of at least 60 points from the exercises and the short exams in class ( corresponds the 50 % of the available points )

Unterrichtssprache / language of instruction

Englisch / english

Zielgruppe / audience

  • Diese Vorlesung richtet sich an die Teilnehmer des Masterstudienganges "Computational Science", aber auch interessierte Studenten der angeschlossenen Fachbereiche in anderen MS Programmen.
  • The lecture is aimed at the participants of the master study course "computational science". Nevertheless students of other university departements are welcome too.

Angestrebte Zeiten / aimed appointment

  • Lecture: Tu: 13:00 - 15:00 FIAS building 100
  • Exercises: Tu: 15:00 - 17:00 FIAS building 100
  • 11.11.08 : Physics building 2.100

Recommended literature

  • Thermal Physics, Charles Kittel/Herbert Kroemer, Freeman, NY

Lecture

Date Subject
14.10. The big picture and Intro to Probability

application_pdf.pngProbability_notes (114 KB)Info circle.png.application_pdf.pngLecture0.pdf (548 KB)Info circle.png [Little history about statistical physics] [A book just for fun about probabilites]

21.10. Overview: States of a model system, law of large numbers

application_pdf.pngLecture 1.pdf (3.93 MB)Info circle.png

28.10. Entropy, Temperature, the most probable state, fundamental laws of Thermodynamics.

application_pdf.pngLecture2.pdf (3.19 MB)Info circle.png

04.11. The Boltzmann Distribution, Partition function, and Helmholtz free energy

application_pdf.pngLecture3.pdf (128 KB)Info circle.png

11.11. Pressure, differential relations
18.11. The ideal gas

application_pdf.pngLecture5.pdf (1.45 MB)Info circle.png

25.11. Thermal Radiation and Planck distribution

application_pdf.pngSM0809_Lecture6.pdf (1.45 MB)Info circle.png

02.12. Chemical Potential and Gibbs Distribution
09.12. Chemical Reactions
16.12. Bosons and Fermions
13.01. Classical thermodynamics
20.01. General description of phase transitions, Part 1
27.01. VdW gas, theory of phase transitions Part 2, nucleation theory
03.02. Landau theory
10.02.

Tutorial

Date Subject
14.10
21.10.


28.10.
04.11.


11.11.
18.11.
25.11.
02.12.
09.12.
16.12.
13.01.
20.01.
27.01.
03.02.
10.02.