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Multispecies virial expansions
journal contribution
posted on 2023-06-08, 17:25 authored by Sabine Jansen, Stephen J Tate, Dimitrios Tsagkarogiannis, Daniel UeltschiWe 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 PhysicsISSN
0010-3616Publisher
Springer VerlagExternal DOI
Issue
2Volume
330Page range
801-817Department affiliated with
- Mathematics Publications
Research groups affiliated with
- Probability and Statistics Research Group Publications
Full text available
- Yes
Peer reviewed?
- Yes