izvor podataka: crosbi
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New derivation of the cluster cumulant formula (CROSBI ID 117958)
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Sunko, Denis K.
New derivation of the cluster cumulant formula // Fizika A, 14 (2005), 119-134-x
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Sunko, Denis K.
engleski
New derivation of the cluster cumulant formula
The cluster cumulant formula of Kubo is derived by appealing only to elementary properties of subsets and binomial coefficients. It is shown to be a binomial transform of the grand potential. Extensivity is proven without introducing cumulants. A combinatorial inversion is used to reformulate the expansion in the activity to one in occupation probabilities, which explicitly control the convergence. The classical virial expansion is recovered to third order as an example.
cluster expansion; Kubo formula; virial expansion
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