Jansen, Sabine, Tate, Stephen James, Tsagkarogiannis, Dimitrios and Ueltschi, Daniel (2014) Multispecies virial expansions. Communications in Mathematical Physics, 330 (2). pp. 801-817. doi:10.1007/s00220-014-2026-9 ISSN 0010-3616.

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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:	Journal Article
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Virial coefficients, Multiphase flow
Journal or Publication Title:	Communications in Mathematical Physics
Publisher:	Springer
ISSN:	0010-3616
Official Date:	September 2014
Dates:	Date Event September 2014 Published 30 March 2014 Available
Volume:	330
Number:	2
Number of Pages:	17
Page Range:	pp. 801-817
DOI:	10.1007/s00220-014-2026-9
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Date of first compliant deposit:	24 June 2016
Date of first compliant Open Access:	27 June 2016
Funder:	European Research Council (ERC), Engineering and Physical Sciences Research Council (EPSRC), Seventh Framework Programme (European Commission) (FP7)
Grant number:	267356 (ERC), EP/G056390/1 (EPSRC), 245749 (FP7)

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