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Jansen, Sabine; Tate, Stephen J.; Tsagkarogiannis, Dimitrios; Ueltschi, Daniel

Multispecies virial expansions. (English) Zbl 1296.82022

Commun. Math. Phys. 330, No. 2, 801-817 (2014).
Summary: 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.

Cited in 8 Documents

MSC:

82B26 Phase transitions (general) in equilibrium statistical mechanics
82B30 Statistical thermodynamics
82C22 Interacting particle systems in time-dependent statistical mechanics
82D05 Statistical mechanics of gases

Keywords:

virial expansion of mixtures; Lagrange-Good inversion formula
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References:

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