Original scientific paper

New derivation of the cluster cumulant formula

D. K. Sunko ; Department of Physics, Faculty of Science, University of Zagreb, Bijenička cesta 32 HR-10 000 Zagreb, Croatia

Abstract

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.

Keywords

Kubo formula; cluster cumulant expansion; virial expansion

Hrčak ID:

301990

URI

https://hrcak.srce.hr/301990

Publication date:

1.5.2005.

Article data in other languages: croatian

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