Bifurcation of gibbs’ distribution lattice system

Author(s):  L.P. Danilova, Belgorod National Research University, Belgorod, Russia

Issue:  Volume 50, № 4

Rubric:  Physics. Mathematical modeling

Annotation:  It is proposed the formula which defines the chemical potential when the phase transition 0f first order occurs in lattice gas model. Such a formula spreads the applicability of the formula which is known in equilibrium statistical mechanics of lattice systems and which is a sequence of the Lie-Yang theorem about distribution of partition function zeroes when they are considered as some functions on the fugacity parameter. As a result, the obtained formula may be applied for systems with arbitrary summable interaction potential

Keywords:  lattice gas, interactionpotential, partition function, fugacity, chemical potential

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