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Multispecies virial expansions

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posted on 2023-06-08, 17:25 authored by Sabine Jansen, Stephen J Tate, Dimitrios Tsagkarogiannis, Daniel Ueltschi
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.

History

Publication status

  • Published

File Version

  • Accepted version

Journal

Communications in Mathematical Physics

ISSN

0010-3616

Publisher

Springer Verlag

Issue

2

Volume

330

Page range

801-817

Department affiliated with

  • Mathematics Publications

Research groups affiliated with

  • Probability and Statistics Research Group Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2014-06-24

First Open Access (FOA) Date

2014-07-30

First Compliant Deposit (FCD) Date

2014-07-30

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