Problems in Statistical Mechanics

Exercises in Statistical Mechanics

00-00   Using random variables
01-00   The energy spectrum: N(E) and Z(T)
03-00   (The probability matrix)
 
10-00   Canonical formalism
15-00   Grand canonical formalism
20-00   Application of the canonical formalism
30-00   Bose gas
35-00   Fermi gas
40-00   Chemical equilibrium
50-00   Interacting systems
55-00   Phase transitions
 
60-00   Kinetics: Maxwell-Boltzmann etc
65-00   Boltzmann Equation
70-00   Fluctuations, Theory of response, FD relation, Onsager
80-00   Stochastic processes: random walk, diffusion, Langevin
90-00   Master equations: Fokker-Plank, Pauli, Bloch
 
 
The Hebrew source [HTML] of this database has been badly translated into English by a student, and should be improved. Assembled booklet of all exercises [PDF] is available. You can browse all the files in the pool. The right column comments on the status of the exercise: [L/C/H] means lecture or class or home exercise; [e] means educational focus question on lecture material; and [+/-] means recommended or not recommended.  
 

ex_0010[pdf][files/sol][forum]     [H/00]
ex_0012[pdf][files/sol][forum]    
ex_0020[pdf][files/sol][forum]     [H/00]
ex_0030[pdf][files/sol][forum]     [H/00]
ex_0050[pdf][files/sol][forum]     [H/00]
ex_0060[pdf][files/sol][forum]     [C/01]
ex_0070[pdf][files/sol][forum]     [H/01]
ex_0080[pdf][files/sol][forum]     [L/01]

ex_0105[pdf][files/sol][forum]     [H/01]
ex_0120[pdf][files/sol][forum]     [e]
ex_0122[pdf][files/sol][forum]     [e] A06
ex_0130[pdf][files/sol][forum]     [e]
ex_0140[pdf][files/sol][forum]     [e]
ex_0150[pdf][files/sol][forum]     [C/01]
ex_0160[pdf][files/sol][forum]     [H/02]
 
=== Canonical formalism ===

ex_1010[pdf][files/sol][forum]     [e]
ex_1020[pdf][files/sol][forum]     [e]
ex_1025[pdf][files/sol][forum]     [e]
ex_1026[pdf][files/sol][forum]     [e]
ex_1027[pdf][files/sol][forum]     [e] A21
ex_1030[pdf][files/sol][forum]     [e]
ex_1032[pdf][files/sol][forum]     [e]
ex_1040[pdf][files/sol][forum]     [e]
ex_1041[pdf][files/sol][forum]     [e]
ex_1043[pdf][files/sol][forum]     [e] A01
ex_1045[pdf][files/sol][forum]     [e] A02
ex_1047[pdf][files/sol][forum]     [e] A04
ex_1060[pdf][files/sol][forum]     [e]
ex_1510[pdf][files/sol][forum]     [e]
ex_1627[pdf][files/sol][forum]     [e] A27

ex_1808[pdf][files/sol][forum]     [-] A08 (Related to 0130)
ex_1814[pdf][files/sol][forum]     [+] A14
ex_1815[pdf][files/sol][forum]     [+] A15
ex_1816[pdf][files/sol][forum]     [+] A16
ex_1817[pdf][files/sol][forum]     [C/02] A25
 
=== Canonical formalism, applications ===

ex_2040[pdf][files/sol][forum]     [H/02]
ex_2041[pdf][files/sol][forum]     [+] Exam 2004, 2012
ex_2042[pdf][files/sol][forum]     [H/02]
ex_2044[pdf][files/sol][forum]     [+]
ex_2046[pdf][files/sol][forum]     [+]
ex_2050[pdf][files/sol][forum]     [H/02] Exam 2014
ex_2051[pdf][files/sol][forum]     [L/02]
ex_2052[pdf][files/sol][forum]     [L/02]
ex_2065[pdf][files/sol][forum]     [+] (Related to 0130)

ex_2160[pdf][files/sol][forum]     [H/03] Exam 2002
ex_2170[pdf][files/sol][forum]     [H/03] Exam 2003
ex_2173[pdf][files/sol][forum]     [+]
ex_2180[pdf][files/sol][forum]     [+]
ex_2190[pdf][files/sol][forum]     [L/03]

ex_2210[pdf][files/sol][forum]     [+]
ex_2215[pdf][files/sol][forum]     [+]
ex_2230[pdf][files/sol][forum]     [+]

ex_2311[pdf][files/sol][forum]     [C/02]
ex_2320[pdf][files/sol][forum]     [+]
ex_2340[pdf][files/sol][forum]     [+]
ex_2351[pdf][files/sol][forum]     [C/03] Exam 2011
ex_2353[pdf][files/sol][forum]     [+]
ex_2360[pdf][files/sol][forum]     [C/03]
 
=== Quantum gases ===

ex_3009[pdf][files/sol][forum]     [H/04]
ex_3010[pdf][files/sol][forum]     [-] old version
ex_3021[pdf][files/sol][forum]     [C/04]
ex_3022[pdf][files/sol][forum]     [+] Exam 2016
ex_3030[pdf][files/sol][forum]     [H/04] Exam 2017
ex_3040[pdf][files/sol][forum]     [H/04] Exam 2002
ex_3042[pdf][files/sol][forum]     [+] Exam 2004
ex_3230[pdf][files/sol][forum]     [+] B04
ex_3240[pdf][files/sol][forum]     [+]
ex_3336[pdf][files/sol][forum]     [C/04]
ex_3341[pdf][files/sol][forum]     [+] B08
ex_3342[pdf][files/sol][forum]     [+] B09
ex_3344[pdf][files/sol][forum]     [e] B11

ex_3510[pdf][files/sol][forum]     [e] to be revised, related to 3009
ex_3515[pdf][files/sol][forum]     [+]
ex_3520[pdf][files/sol][forum]     [H/05]
ex_3530[pdf][files/sol][forum]     [+]
ex_3540[pdf][files/sol][forum]     [H/05]
ex_3550[pdf][files/sol][forum]     [C/05]
ex_3555[pdf][files/sol][forum]     [+]
ex_3570[pdf][files/sol][forum]     [H/05]
ex_3710[pdf][files/sol][forum]     [+]
ex_3711[pdf][files/sol][forum]     [+] B23 (duplication)
ex_3745[pdf][files/sol][forum]     [C/05]
 
=== Chemical equilibrium ===

ex_4001[pdf][files/sol][forum]     [?]
ex_4012[pdf][files/sol][forum]     [?]
ex_4014[pdf][files/sol][forum]     [?]
ex_4015[pdf][files/sol][forum]     [+]
ex_4016[pdf][files/sol][forum]     [C/06] Exam 2019
ex_4017[pdf][files/sol][forum]     [e] A41
ex_4019[pdf][files/sol][forum]     [?]

ex_4211[pdf][files/sol][forum]     [C/06] Exam 2018
ex_4213[pdf][files/sol][forum]     [H/06] Exam 2011
ex_4215[pdf][files/sol][forum]     [+] Exam 2003
ex_4220[pdf][files/sol][forum]     [+]
ex_4441[pdf][files/sol][forum]     [H/06] B22
ex_4442[pdf][files/sol][forum]     [+]
ex_4445[pdf][files/sol][forum]     [-] A51
ex_4446[pdf][files/sol][forum]     [-] A53
ex_4450[pdf][files/sol][forum]     [+] B28
ex_4546[pdf][files/sol][forum]     [+] B21
ex_4549[pdf][files/sol][forum]     [+] B24
ex_4550[pdf][files/sol][forum]     [H/06]
ex_4552[pdf][files/sol][forum]     [+] B27
ex_4554[pdf][files/sol][forum]     [+] B29
 
=== Interacting systems, Phase transitions ===

ex_5010[pdf][files/sol][forum]     [H/08] alternate version is A17
ex_5012[pdf][files/sol][forum]     [e]
ex_5021[pdf][files/sol][forum]     [e] A23
ex_5022[pdf][files/sol][forum]     [+] A07
ex_5023[pdf][files/sol][forum]     [+] A22
ex_5024[pdf][files/sol][forum]     [C/08]
ex_5030[pdf][files/sol][forum]     [L/08] lecture material
ex_5040[pdf][files/sol][forum]     [L/08] duplication, solved in L/01
ex_5310[pdf][files/sol][forum]     submission

ex_5420[pdf][files/sol][forum]     [L/08] C22
ex_5440[pdf][files/sol][forum]     [+] A26
ex_5442[pdf][files/sol][forum]     [+] Exam 2019
ex_5641[pdf][files/sol][forum]     [H/10] Exam 2002
ex_5645[pdf][files/sol][forum]     [H/09] Exam 2014
ex_5651[pdf][files/sol][forum]     [C/09]
ex_5660[pdf][files/sol][forum]     [H/09] Exam 2003

ex_5713[pdf][files/sol][forum]     [C/10]
ex_5716[pdf][files/sol][forum]     [+]
ex_5721[pdf][files/sol][forum]     [L/08] [H/08]
ex_5732[pdf][files/sol][forum]     [H/10]
ex_5741[pdf][files/sol][forum]     [L/09]

ex_5811[pdf][files/sol][forum]     [C/08] Exam 2016
ex_5821[pdf][files/sol][forum]     [-]
ex_5825[pdf][files/sol][forum]     [C/09]
ex_5831[pdf][files/sol][forum]     [e]
ex_5841[pdf][files/sol][forum]     [e] C25
ex_5955[pdf][files/sol][forum]     [H/08]
ex_5963[pdf][files/sol][forum]     [C/08]
ex_5969[pdf][files/sol][forum]     [H/08] Exam 2018
ex_5980[pdf][files/sol][forum]     [+] Exam 2013
 
=== Kinetics ===

ex_6010[pdf][files/sol][forum]     [+]
ex_6020[pdf][files/sol][forum]     [+] Exam 2015, extension of 3040
ex_6030[pdf][files/sol][forum]     [C/07]
ex_6040[pdf][files/sol][forum]     [C/07]
ex_6050[pdf][files/sol][forum]     [H/07]
ex_6070[pdf][files/sol][forum]     [H/07]
ex_6071[pdf][files/sol][forum]     [+]
ex_6080[pdf][files/sol][forum]     [e]
ex_6110[pdf][files/sol][forum]     [+] missing

ex_6772[pdf][files/sol][forum]     [-] D01
ex_6773[pdf][files/sol][forum]     [-] D02
ex_6774[pdf][files/sol][forum]     [-] D03
ex_6775[pdf][files/sol][forum]     [-] D04
ex_6776[pdf][files/sol][forum]     [-] D05
ex_6777[pdf][files/sol][forum]     [-] D06
ex_6778[pdf][files/sol][forum]     [-] D07
 
=== Fluctuations and the FD realation ===

ex_7001[pdf][files/sol][forum]     [L/11]
ex_7005[pdf][files/sol][forum]     [+]
ex_7010[pdf][files/sol][forum]     [C/11] Exam 2015
ex_7020[pdf][files/sol][forum]     [H/11]
ex_7040[pdf][files/sol][forum]     [C/11]
ex_7041[pdf][files/sol][forum]     [+]
ex_7050[pdf][files/sol][forum]     [L/11]
ex_7060[pdf][files/sol][forum]     [L/11]
ex_7481[pdf][files/sol][forum]     [e] D20
ex_7486[pdf][files/sol][forum]     [e] D27
ex_7487[pdf][files/sol][forum]     [e] D28
ex_7489[pdf][files/sol][forum]     [e] D30
ex_7491[pdf][files/sol][forum]     [-] D51
ex_7492[pdf][files/sol][forum]     [-] D52
 
=== Stochastic picture, Langevin ===

ex_8001[pdf][files/sol][forum]     [L/12]
ex_8020[pdf][files/sol][forum]     [L/12]
ex_8025[pdf][files/sol][forum]     [H/12] Exam 2011
ex_8027[pdf][files/sol][forum]    
ex_8030[pdf][files/sol][forum]     [L/12]
ex_8032[pdf][files/sol][forum]     [H/12] Exam 2004
ex_8034[pdf][files/sol][forum]     [C/12] Exam 2012
ex_8481[pdf][files/sol][forum]     [C/12]
ex_8483[pdf][files/sol][forum]     [C/12] Exam 2017
ex_8484[pdf][files/sol][forum]     [H/12] Exam 2013
ex_8490[pdf][files/sol][forum]     [C/12] Exam 2014
ex_8492[pdf][files/sol][forum]     [H/12] Exam 2018
 
=== System-Bath ===

ex_9010[pdf][files/sol][forum]     [e] D43
ex_9012[pdf][files/sol][forum]     [e] A03