Syllabus

Course Code: B-PHY-302    Course Name: Statistical Mechanic

MODULE NO / UNIT COURSE SYLLABUS CONTENTS OF MODULE NOTES
1 STATISTICAL PHYSICS-I
MicroscopicandMacroscopicsystems,events-mutuallyexclusive,dependentand independent.Probability,statisticalprobability,A-prioriProbabilityandrelation betweenthem,probabilitytheorems,someprobabilityconsiderations,combinations possessingmaximumprobability,combinationpossessingminimumprobability,Tossing of2,3andanynumberofCoins,Permutationsandcombinations,distributionsofN(for N=2,3,4)distinguishableandindistinguishableparticlesintwoboxesofequalsize, Micro and Macro states,Thermodynamical probability, Constraintsand Accessible states, Statisticalfluctuations,generaldistributionofdistinguishableparticlesincompartments ofdifferentsizes,Conditionofequilibriumbetweentwosystemsinthermalcontact--β parameter, Entropyand Probability(Boltzmann’srelation).
2 STATISTICAL PHYSICS-II
Postulatesofstatisticalphysics,Phasespace,DivisionofPhasespaceintocells,three kindsofstatistics,basicapproachinthreestatistics.M.B.statisticsappliedtoanideal gasinequilibrium-energydistributionlaw(includingevaluationofơandβ),speed distributionlaw&velocitydistributionlaw.Expressionforaveragespeed,r.m.s.speed, averagevelocity,r.m.s.velocity,mostprobableenergy&meanenergyforMaxwellian distribution
3 QUANTUM STATISTICS
NeedforQuantumStatistics:Bose-Einsteinenergydistributionlaw,ApplicationofB.E. statisticstoPlanck'sradiationlawB.E.gas,DegeneracyandB.E.Condensation,FermiDiracenergydistributionlaw,F.D.gasandDegeneracy,FermienergyandFermi temperature, FermiDiracenergydistributionlaw,FermiDiracgas energyandFermitemperature,FermiDiracenergydistributionlawforelectrongasin metals,Zeropointenergy,Zeropointpressureandaveragespeed (at0K)ofelectrongas, Specificheatanomalyofmetalsanditssolution.M.B.distributionasalimitingcaseof B.E. andF.D. distributions, Comparison of three statistics.
4 THEORY OF SPECIFIC HEAT OF SOLIDS
Dulong and Petitlaw.DerivationofDulong and Petitlawfromclassicalphysics, Specific heatatlowtemperature,Einsteintheoryofspecificheat,CriticismofEinsteintheory, Debyemodelofspecificheatofsolids,successand shortcomingsofDebyetheory, comparisonof Einstein and Debyetheories,
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