Multispecies Virial Expansions
Mathematical Physics
2014-06-24 v2 math.MP
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.
Cite
@article{arxiv.1304.2199,
title = {Multispecies Virial Expansions},
author = {Sabine Jansen and Stephen J. Tate and Dimitrios Tsagkarogiannis and Daniel Ueltschi},
journal= {arXiv preprint arXiv:1304.2199},
year = {2014}
}
Comments
16 pages, 1 figure