Difference between revisions of "Statistical Mechanics (WS 2007/2008)"

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== Angestrebte Zeiten / aimed appointment ==
 
== Angestrebte Zeiten / aimed appointment ==
* Lecture: Tu: 13:00 - 15:00 FIAS building 100
+
* Lecture: Tu: 10:45 - 12:15  FIAS building 101
* Exercises: Tu: 15:00 - 17:00 FIAS building 100
+
* Exercises: Tu: 12:30 - 14:00 FIAS building 200
* 11.11.08 : room still pending
 
  
 
== Recommended literature ==
 
== Recommended literature ==
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|-valign="top"
 
|-valign="top"
! 14.10.
+
! 16.10  
| The big picture and Intro to Probability
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| The big picture and Intro to Probability {{Download|1st_Lecture_stat_mech.pdf|Probability_notes}}.{{Download|Lecture0.pdf|Lecture0.pdf}}  
<!-- {{Download|1st_Lecture_stat_mech.pdf|Probability_notes}}.{{Download|Lecture0.pdf|Lecture0.pdf}} -->
 
  
 
|-valign="top"
 
|-valign="top"
! 21.10.
+
! 23.10.
| Overview: States of a model system, law of large numbers
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| Overview: States of a model system, law of large numbers {{Download|1.Lecture Statmech.pdf|Lecture 1.pdf}}
<!-- {{Download|1.Lecture Statmech.pdf|Lecture 1.pdf}} -->
 
  
 
|-valign="top"
 
|-valign="top"
! 28.10.
+
! 30.10.
| Entropy, Temperature, the most probable state, fundamental laws of Thermodynamics.
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| Entropy, Temperature, the most probable state, fundamental laws of Thermodynamics. {{Download|Lecture2_Statmech.pdf|Lecture2.pdf}}.
<!-- {{Download|Lecture2_Statmech.pdf|Lecture2.pdf}} -->
 
  
 
|-valign="top"
 
|-valign="top"
! 04.11.
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! 06.11.
| The Boltzmann Distribution, Partition function, and Helmholtz free energy
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| The Boltzmann Distribution, Partition function, and Helmholtz free energy  
<!-- {{Download|Lecture3_Statmech.pdf|Lecture3.pdf}}. -->
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{{Download|Lecture3_Statmech.pdf|Lecture3.pdf}}.
 
   
 
   
 
|-valign="top"
 
|-valign="top"
! 11.11.
+
! 13.11.
 
| Pressure, differential relations
 
| Pressure, differential relations
  
 
|-valign="top"
 
|-valign="top"
! 18.11.
+
! 20.11.
 
| The ideal gas  
 
| The ideal gas  
 
|-valign="top"
 
|-valign="top"
! 25.11.
+
! 27.11.
 
| Thermal Radiation and Planck distribution
 
| Thermal Radiation and Planck distribution
  
 
|-valign="top"
 
|-valign="top"
! 02.12.
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! 04.12.
 
| Chemical Potential and Gibbs Distribution
 
| Chemical Potential and Gibbs Distribution
 
|-valign="top"
 
|-valign="top"
! 09.12.
+
! 11.12.
 
| Chemical Reactions
 
| Chemical Reactions
  
 
|-valign="top"
 
|-valign="top"
! 16.12.
+
! 08.01.
 
|Bosons and Fermions
 
|Bosons and Fermions
 
   
 
   
 
|-valign="top"
 
|-valign="top"
! 13.01.
+
! 15.01.
 
| Classical thermodynamics
 
| Classical thermodynamics
  
 
|-valign="top"
 
|-valign="top"
! 20.01.
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! 22.01.
 
| General description of phase transitions, Part 1
 
| General description of phase transitions, Part 1
  
 
|-valign="top"
 
|-valign="top"
! 27.01.
+
! 29.01.
 
| VdW gas, theory of phase transitions Part 2, nucleation theory
 
| VdW gas, theory of phase transitions Part 2, nucleation theory
  
 
|-valign="top"
 
|-valign="top"
! 03.02.
+
! 05.02.
 
| Landau theory
 
| Landau theory
  
|-valign="top"
 
! 10.02.
 
|
 
  
 
|}
 
|}
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|-valign="top"
 
|-valign="top"
! 14.10  
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! 16.10  
| <!-- {{Download|PProblems_1.pdf|Problems sheet 1}} -->
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|{{Download|PProblems_1.pdf|Problems sheet 1}}
  
 
|-valign="top"
 
|-valign="top"
! 21.10.
+
! 23.10.
| <!-- {{Download|exercises_1.pdf|Exercises in class 1}} -->
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| {{Download|exercises_1.pdf|Exercises in class 1}}
  
  
 
|-valign="top"
 
|-valign="top"
! 28.10.
+
! 30.10.
| <!-- {{Download|PProblems_2.pdf|Problems sheet 2}} -->
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| {{Download|PProblems_2.pdf|Problems sheet 2}}
  
 
|-valign="top"
 
|-valign="top"
! 04.11.
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! 06.11.
| <!-- {{Download|PProblems_3.pdf|Problems sheet 3}} -->
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|{{Download|PProblems_3.pdf|Problems sheet 3}}
 
   
 
   
  
 
|-valign="top"
 
|-valign="top"
! 11.11.
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! 13.11.
| <!-- {{Download|PProblems_4.pdf|Problems sheet 4}} -->
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| {{Download|PProblems_4.pdf|Problems sheet 4}}
  
 
|-valign="top"
 
|-valign="top"
! 18.11.
+
! 20.11.
| <!-- {{Download|PProblems_5.pdf|Problems sheet 5}} -->
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| {{Download|PProblems_5.pdf|Problems sheet 5}}
  
 
|-valign="top"
 
|-valign="top"
! 25.11.
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! 27.11.
| <!-- {{Download|PProblems_6.pdf|Problems sheet 6}} -->
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| {{Download|PProblems_6.pdf|Problems sheet 6}}
  
 
|-valign="top"
 
|-valign="top"
! 02.12.
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! 04.12.
| <!-- {{Download|Problems_7.pdf|Problems sheet 7}} -->
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| {{Download|Problems_7.pdf|Problems sheet 7}}
  
 
|-valign="top"
 
|-valign="top"
! 09.12.
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! 11.12.
 
|  
 
|  
  
 
|-valign="top"
 
|-valign="top"
! 16.12.
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! 08.01.
 
|  
 
|  
  
 
|-valign="top"
 
|-valign="top"
! 13.01.
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! 15.01.
 
|  
 
|  
  
 
|-valign="top"
 
|-valign="top"
! 20.01.
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! 22.01.
 
|  
 
|  
  
 
|-valign="top"
 
|-valign="top"
! 27.01.
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! 29.01.
 
|  
 
|  
  
 
|-valign="top"
 
|-valign="top"
! 03.02.
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! 05.02.
|
 
 
 
|-valign="top"
 
! 10.02.
 
 
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Revision as of 10:29, 10 October 2008

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
  • regular participation during the exercise course, plus solving the exercises

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: 10:45 - 12:15 FIAS building 101
  • Exercises: Tu: 12:30 - 14:00 FIAS building 200

Recommended literature

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

Lecture

Date Subject
16.10 The big picture and Intro to Probability application_pdf.pngProbability_notes (113 KB)Info circle.png.application_pdf.pngLecture0.pdf (548 KB)Info circle.png
23.10. Overview: States of a model system, law of large numbers application_pdf.pngLecture 1.pdf (3.93 MB)Info circle.png
30.10. Entropy, Temperature, the most probable state, fundamental laws of Thermodynamics. application_pdf.pngLecture2.pdf (3.19 MB)Info circle.png.
06.11. The Boltzmann Distribution, Partition function, and Helmholtz free energy

application_pdf.pngLecture3.pdf (1.01 MB)Info circle.png.

13.11. Pressure, differential relations
20.11. The ideal gas
27.11. Thermal Radiation and Planck distribution
04.12. Chemical Potential and Gibbs Distribution
11.12. Chemical Reactions
08.01. Bosons and Fermions
15.01. Classical thermodynamics
22.01. General description of phase transitions, Part 1
29.01. VdW gas, theory of phase transitions Part 2, nucleation theory
05.02. Landau theory



Tutorial

Date Subject
16.10 application_pdf.pngProblems sheet 1 (33 KB)Info circle.png
23.10. application_pdf.pngExercises in class 1 (50 KB)Info circle.png


30.10. application_pdf.pngProblems sheet 2 (52 KB)Info circle.png
06.11. application_pdf.pngProblems sheet 3 (52 KB)Info circle.png


13.11. application_pdf.pngProblems sheet 4 (42 KB)Info circle.png
20.11. application_pdf.pngProblems sheet 5 (44 KB)Info circle.png
27.11. application_pdf.pngProblems sheet 6 (48 KB)Info circle.png
04.12. application_pdf.pngProblems sheet 7 (28 KB)Info circle.png
11.12.
08.01.
15.01.
22.01.
29.01.
05.02.