If the energies add, then the partition functions multiply each other. Boltzmann and Partition Function Examples These are the examples to be used along with the powerpoint lecture slides. Density of microstates: g(U) = ∂Σ ∂U. (a) Derivation of Z N from Ω(U,V,N).

The numbers of the examples are # the in the EX-Boltz# tags on the slides. Partitions of n. In these notes we are concerned with partitions of a number n, as opposed to partitions of a set. Relation between the microcanonical phase-space volume Ω(U,V,N) and the number of microstates Σ(U,V,N) up to the energy U: Ω(U,V,N) ≡ Z H(X)

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