physics - cambridge - statistical physics

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1、StatisticalPhysicsDr.A.J.Macfarlane1Lent19981LATEXedbyPaulMetcalfecommentstosoc-archim-notes@lists.cam.ac.uk.Revision:1.10Date:1998-06-0320:13:39+01Thefollowingpeoplehavemaintainedthesenotes.datePaulMetcalfeContentsIntroductionv1QuantumStatisticalMechanics11.1Introductiont

2、oQuantumStatisticalMechanics............11.2Canonicalensemble...........................21.3Temperature...............................41.4Towardsthermodynamicvariables...................51.5Towardsapplications..........................71.5.1Nparticlepartitionfunction......

3、............71.5.2Extensiveandintensivevariables...............81.5.3Densityofstates........................81.5.4Gasofspinlessparticles....................91.5.5EntropyandtheGibbsparadox.................91.6Harmonicoscillatormodel.......................102Thermodynamics11

4、2.1Introduction...............................112.2ApplicationsofdE=TdS−PdV..................122.2.1Integrabilityconditions.....................122.2.2Specificheats..........................132.2.3Adiabaticchanges.......................142.2.4Entropyofnmolesofidealgas......

5、..........142.2.5vanderWaalsequation....................152.2.6TheJouleeffect.........................152.3Somethermodynamics.........................162.3.1Thesecondlaw.........................162.4Heatflow................................173Grandensemblemethods193.1Theform

6、alism..............................193.2Systemsofnon-interactingidenticalparticles.............213.2.1Alittlequantummechanics..................213.2.2Thepartitionfunctions.....................223.2.3Classicallimit.........................243.3Blackbodyradiation............

7、..............253.4DegenerateFermigas..........................263.4.1Heatcapacityatlowtemperature................273.5Bose-Einsteincondensation.......................28iiiivCONTENTS3.6Whitedwarfstars............................294Classicalstatisticalmechanics314.1Introduc

8、tion...............................314.2Diatomicgases.............................324.3Pa