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] [+] ex_0050[pdf][files/sol][forum] [H/00] ex_0060[pdf][files/sol][forum] [C/00] ex_0070[pdf][files/sol][forum] [H/00] ex_0080[pdf][files/sol][forum] [L/00] 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/01] === 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] [+] ex_2041[pdf][files/sol][forum] [+] Exam 2004, 2012 ex_2042[pdf][files/sol][forum] [+] 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/02] Exam 2002 ex_2170[pdf][files/sol][forum] [H/02] 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/02] Exam 2011 ex_2353[pdf][files/sol][forum] [+] ex_2360[pdf][files/sol][forum] [H/02] === Quantum gases === ex_3009[pdf][files/sol][forum] [+] ex_3010[pdf][files/sol][forum] [-] old version ex_3021[pdf][files/sol][forum] [C/03] ex_3022[pdf][files/sol][forum] [+] Exam 2016 ex_3030[pdf][files/sol][forum] [H/03] Exam 2017 ex_3040[pdf][files/sol][forum] [H/03] 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/03] 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/03] ex_3530[pdf][files/sol][forum] [+] ex_3540[pdf][files/sol][forum] [H/03] ex_3550[pdf][files/sol][forum] [H/03] ex_3555[pdf][files/sol][forum] [+] ex_3570[pdf][files/sol][forum] [+] ex_3710[pdf][files/sol][forum] [+] ex_3711[pdf][files/sol][forum] [+] B23 (duplication) ex_3745[pdf][files/sol][forum] [C/03] === 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/04] Exam 2019 ex_4017[pdf][files/sol][forum] [e] A41 ex_4019[pdf][files/sol][forum] [?] ex_4211[pdf][files/sol][forum] [C/04] Exam 2018 ex_4213[pdf][files/sol][forum] [H/04] Exam 2011 ex_4215[pdf][files/sol][forum] [+] Exam 2003 ex_4220[pdf][files/sol][forum] [+] ex_4441[pdf][files/sol][forum] [+] 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/04] 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/06] 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/06] ex_5030[pdf][files/sol][forum] [+] lecture material ex_5040[pdf][files/sol][forum] [+] duplication, solved in L/01 ex_5310[pdf][files/sol][forum] submission ex_5420[pdf][files/sol][forum] [+] C22 ex_5440[pdf][files/sol][forum] [+] A26 ex_5442[pdf][files/sol][forum] [+] Exam 2019 ex_5641[pdf][files/sol][forum] [H/08] Exam 2002 ex_5645[pdf][files/sol][forum] [H/07] Exam 2014 ex_5651[pdf][files/sol][forum] [C/07] ex_5660[pdf][files/sol][forum] [+] Exam 2003 ex_5713[pdf][files/sol][forum] [C/08] ex_5716[pdf][files/sol][forum] [+] ex_5721[pdf][files/sol][forum] [H/08] ex_5732[pdf][files/sol][forum] [H/08] ex_5741[pdf][files/sol][forum] [+] ex_5811[pdf][files/sol][forum] [C/09] Exam 2016 ex_5821[pdf][files/sol][forum] [-] ex_5825[pdf][files/sol][forum] [C/08] ex_5831[pdf][files/sol][forum] [e] ex_5841[pdf][files/sol][forum] [e] C25 ex_5955[pdf][files/sol][forum] [+] ex_5963[pdf][files/sol][forum] [C/06] ex_5969[pdf][files/sol][forum] [H/06] 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/05] ex_6040[pdf][files/sol][forum] [C/05] ex_6050[pdf][files/sol][forum] [H/05] ex_6070[pdf][files/sol][forum] [H/05] 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] [+] ex_7005[pdf][files/sol][forum] [+] ex_7010[pdf][files/sol][forum] [C/10] Exam 2015 ex_7020[pdf][files/sol][forum] [H/10] ex_7040[pdf][files/sol][forum] [C/10] ex_7041[pdf][files/sol][forum] [+] ex_7050[pdf][files/sol][forum] [L/11] ex_7060[pdf][files/sol][forum] [+] 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] [e] ex_8020[pdf][files/sol][forum] [-] ex_8025[pdf][files/sol][forum] [H/12] Exam 2011 ex_8027[pdf][files/sol][forum] [+] ex_8030[pdf][files/sol][forum] [e] 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 ex_8494[pdf][files/sol][forum] === System-Bath === ex_9010[pdf][files/sol][forum] [e] D43 ex_9012[pdf][files/sol][forum] [e] A03