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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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Official URL: http://dx.doi.org/10.1007/s00220-014-2026-9
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 | ||||||
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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: |
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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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