Exact results for the activity and isothermal compressibility of the hard-hexagon model

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, , Citation G S Joyce 1988 J. Phys. A: Math. Gen. 21 L983 DOI 10.1088/0305-4470/21/20/005

0305-4470/21/20/L983

Abstract

The Klein and Fricke theory of modular functions is used to derive closed-form algebraic expressions for the activity z( rho ) and isothermal compressibility kappa T( rho ) of the hard-hexagon lattice gas model in the disordered regime, where rho is the dimensionless number density. Similar results which are valid in the ordered regime are also presented.

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10.1088/0305-4470/21/20/005