Multispecies Virial Expansions

Jansen, Sabine and Tate, Stephen and Tsagkarogiannis, Dimitrios and Ueltschi, Daniel (2013) Multispecies Virial Expansions. (Submitted)

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Abstract

We study the virial expansion of mixtures of countably many different types of particles. The main tool is the Lagrange-Good inversion formula, which has other applications such as counting coloured trees or studying probability generating functions in multi-type branching processes. We prove that the virial expansion converges absolutely in a domain of small densities. In addition, we establish that the virial coefficients can be expressed in terms of two-connected graphs.

Item Type: Article
Depositing User: Dr. Dimitrios Tsagkarogiannis
Date Deposited: 09 Apr 2013 05:48
Last Modified: 06 May 2017 04:46
URI: http://preprints.acmac.uoc.gr/id/eprint/226

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