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PHYS3020 - STATISTICAL MECHANICS

 

1 Course Timetable and Material

1.1 Timetable

Tuesday: 12pm-1pm, Room 1-E232
Wednesday:  12pm-1pm, Room 82D-101
Thursday A, B: 10am-12pm, Room 32-207

Consultation: Tuesdays 2:30pm - 4:30pm

 

1.2 Tentative schedule (subject to change)

Readings are from from the following main texts:
1. Daniel V. Schroeder, An introduction to thermal physics [Schroeder].
2. Charles Kittel and Herbert Kroemer, Thermal Physics [Kittel]

Advanced texts for quantum geeks:
1. Kerson Huang, Statistical Mechanics (Wiley, 1963).
2. L. D. Landau and E. M. Lifshits, Quantum mechanics, 3rd edition (Pegamon, 1980) [LL-QM].
3. L. D. Landau and E. M. Lifshits, Statistical Physics, 3rd edition (Pegamon, 1980).


Week 1  
Tue
3 Mar Introduction; An overview of Thermal Physics
[Schroeder, pp. 1-20]
Wed
4 Mar
Multiplicity; States of model systems
[Schroeder, pp. 49-66, 68-74*] or [Kittel, pp. 5-26]
Thu A
5 Mar  States of model systems; Problem Set 1
[Schroeder, pp. 49-66, 68-74*] or [Kittel, pp. 5-26]
Thu B
  Problem Set 1
     
Week 2  
Tue 10 Mar Micro-canonical ensemble; Fundamental assumption
[Schroeder, pp. 56-59, 74-94] or [Kittel, pp. 29-45]
Wed 11 Mar Entropy; Temperature
[Schroeder, pp. 74-94] or [Kittel, pp. 29-45]
Thu A 12 Mar Group problem 1
Thu B   Problem Set 2
     
Week 3  
Tue 17 Mar Laws of thermodynamics
[Kittel, pp. 45-52] or [Schroeder 17-20, 74-94]
Wed 18 Mar

Canonical ensemble; Boltzmann Factor; Partition Function
[Schroeder, pp. 220-229] or [Kittel, pp. 58-64]

Thu A 19 Mar Group problem 2
Thu B   Problem set 3
     
Week 4
Tue 24 Mar 

Canonical ensemble (cont.); Free energy
[Schroeder, pp. 108-114, 149-152, 156-164] or [Kittel, pp. 64-72]

Wed 25 Mar 

Ideal gas: a first look; Equipartition Theorem
[Schroeder, pp. 229-255] or [Kittel, pp. 72-81]

Thu A 26 Mar  Group problem 3
Thu B   Problem set 4
     
Week 5
Tue  31 Mar  Grand-canonical ensemble; Chemical potential
[Schroeder, pp. 115-121, 257-261] or [Kittel, pp. 117-122, 131-140]
Wed  1 Apr 

Revision

Thu A  2 Apr  Group problem 4
Thu B    Problem set 5
     
Week 6
Tue 7 Apr

Identity of particles in Quantum Mechanics; Bosons and Fermions;
Bose-Einstein and Fermi-Dirac distributions
[Schroeder, pp. 262-271,379-380] or [Kittel, pp. 151-161]

Wed 8 Apr Quantum and classical regimes of an ideal gas; Grand canonical description of the ideal gas
[Schroeder, pp. 262-271,379-380] and [Kittel, pp. 160-166]
Thu A 9 Apr Mid Semester Test 1
Thu B   Feedback, Problem set 5
     
MID SEMESTER BREAK  
     
Week 7
Tue 21 Apr Feedback, Problem Set 5
Wed 22 Apr

Spin quantum number; Quantum states and quantum density of states
[Schroeder, pp. 262-271,279-282] or [Kittel, pp. 181-188],
Problem set 6

Thu A 23 Apr Group Problem 5
Thu B   Problem Set 6
     
Week 8
Tue 28 Apr

Fermi gases, Problem set 7
[Schroeder, pp.271-282] or [Kittel, pp. 183-189]

Wed 29 Apr Fermi gases (cont.), Problem set 7; Major Assignment due
[Schroeder, pp.282-288] or [Kittel, pp. 189-199]
Thu A 30 Apr Problem set 6 and 7
Thu B   Problem set 6 and 7
     
Week 9
Tue
5 May Bose gases; Problem set 8
[Schroeder, pp.315-326] or [Kittel, pp. 199-206]
Wed 6 May Bose gases (cont.), Problem set 8
[Schroeder, pp.315-326] or [Kitel, pp. 202-210]
Thu A 7 May Group problem 6, Group problem 7
Thu B   Problem set 8
     
Week 10
Tue 12 May

Planck distribution; Black-body radiation, Problem set 9
[Schroeder, pp.288-292] or [Kittel, pp. 89-94]

Wed 13 May Black-body radiation (cont.), Problem set 9
[Schroeder, pp. 292-306] or [Kittel, pp. 94-98]
Thu A 14 May Group problem 8
Thu B   Problem set 9
     
Week 11
Tue 19 May

Debye model of a solid, Problem set 10
[Schroeder, pp. 307-314] and [Kittel, pp. 102-110]

Wed 20 May

Revision

Thu A 21 May

Group problem 9

Thu B   Problem set 10
     
Week 12
Tue 26 May 

Mid Semester Test 2

Wed 27 May  Video-seminar by Bill Phillips "Time, Einstein and the coldest stuff in the universe"
Thu A 28 May  Student Evaluation of Teaching (20 min),
Feedback on Midsemester Test 2
Thu B   Problem set 10
     
Week 13
Tue 2 June The Ising model of a ferromagnet
[Schroeder, pp. 339-346]
Wed 3 June  Brownian motion or Superfluidity
Thu A 4 June Revision
Thu B   Revision
     


























































































  

*) Extra-curriculum reading


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