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PHYS3020 - STATISTICAL MECHANICS

 

1 Course Timetable and Material

Lecture notes (small format, 3.1 Mb)

Lecture notes (large format, 9.8 Mb)

Problem Sets 1-10

List of Problems to solve



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  
Mon
27 July

Lecture 1:Introduction; An overview of Thermal Physics.
[Schroeder, pp. 1-20]

    Lecture 2: Multiplicity; States of model systems.
[Schroeder, pp. 49-66, 68-74*] or [Kittel, pp. 5-26]
    Lecture 2: States of model systems.
[Schroeder, pp. 49-66, 68-74*] or [Kittel, pp. 5-26]
    Problem Set 1
     
Week 2  
Mon 3 Aug Lecture 3: Micro-canonical ensemble; Fundamental assumption.
[Schroeder, pp. 56-59, 74-94] or [Kittel, pp. 29-45]
    Lecture 4:Entropy; Temperature.
[Schroeder, pp. 74-94] or [Kittel, pp. 29-45]
    Problem Set 2
     
Week 3  
Mon 10 Aug Lecture 5: Laws of thermodynamics.
[Kittel, pp. 45-52] or [Schroeder 17-20, 74-94]
   

Lecture 6: Canonical ensemble; Boltzmann Factor; Partition Function.
[Schroeder, pp. 220-229] or [Kittel, pp. 58-64]

    Problem set 3
     
Week 4
Mon 17 Aug 

Lecture 7: Canonical ensemble (cont.); Free energy.
[Schroeder, pp. 108-114, 149-152, 156-164] or [Kittel, pp. 64-72]

   

Lecture 8: Ideal gas: a first look; Equipartition Theorem.
[Schroeder, pp. 229-255] or [Kittel, pp. 72-81]

    Problem set 4
     
Week 5
Mon  24 Aug  Lecture 9: Grand-canonical ensemble; Chemical potential.
[Schroeder, pp. 115-121, 257-261] or [Kittel, pp. 117-122, 131-140]
   

Lecture 10: 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]

    Problem set 5
     
Week 6
Mon 31 Aug

Revision

    Mid Semester Test 1
     
Week 7
Mon 7 Sep Lecture 11: 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]
   

Lecture 12: Spin quantum number; Quantum states and quantum density of states.
[Schroeder, pp. 262-271,279-282] or [Kittel, pp. 181-188]

    Problem Set 6
     
Week 8
Mon 14 Sep

Lecture 13: Fermi gases.
[Schroeder, pp.271-282] or [Kittel, pp. 183-189]

    Lecture 14: Fermi gases (cont.).
[Schroeder, pp.282-288] or [Kittel, pp. 189-199]
    Problem Set 7
     
Week 9
Mon
21 Sep Lecture 15: Bose gases.
[Schroeder, pp.315-326] or [Kittel, pp. 199-206]
    Lecture 16: Bose gases (cont.).
[Schroeder, pp.315-326] or [Kitel, pp. 202-210]
    Problem set 8
     
Week 10
Mon 28 Sep Mid Semester Break
     
Week 11
Mon 5 Oct

Lecture 17: Planck distribution; Black-body radiation.
[Schroeder, pp.288-292] or [Kittel, pp. 89-94]

    Lecture 18: Black-body radiation (cont.).
[Schroeder, pp. 292-306] or [Kittel, pp. 94-98]
    Problem set 9
     
Week 12
Mon 12 Oct

Lecture 19: Debye model of a solid.
[Schroeder, pp. 307-314] and [Kittel, pp. 102-110]

   

Lecture 20: The Ising model of a ferromagnet.
[Schroeder, pp. 339-346]

    Problem set 10
     
Week 13
Mon 19 Oct 

Mid Semester Test 2

     
Week 14
Mon 26 Oct Revision.
     
Exam Period Starts
Sat 7 Nov Final (School) Exam
     


























































































  

*) Extra-curriculum reading


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