Transcription of AlternativeDerivation of thePartitionFunction ...
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[ ] 9 Sep 2013 Alternative derivation of the Partition Function for Generalized EnsemblesJonathan L. Belof and Brian Space11 Department of Chemistry, University of South Florida4202 E. Fowler Ave., Tampa, FL 33620A pedagogical approach for deriving the statistical mechanical partition function, in a mannerthat emphasizes the key role of entropy in connecting the microscopic states to thermodynamics, isintroduced. The connections between the combinatoric formulaS=klnWapplied to the Gibbsconstruction, the Gibbs entropy,S= k ipilnpi, and the microcanonical entropy expressionS=kln are clarified.
AlternativeDerivation of thePartitionFunction forGeneralized Ensembles ... prompted Darwin and Fowler to develop a derivation of the partition function based upon complex analysis.[2] ... which can also be interpreted as the density of states[1] at that energy. III. A SIMPLIFIED DERIVATION OF THE
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ECE3080-L-4-Density of states, Derivation, Density of states, Of states, 1. Boltzmann distribution, Boltzmann distribution, The density of electronic states in, States, Density, Density Matrix, Intrinsic Carrier Concentration, Density states, Quantum Theory of Thermoelectric Power Seebeck, Intrinsiccarrierconcentrationinsemiconductors, Density of States, Fermi Energy and Energy, Handout 7. Entropy