Volume 132, Number 3, November 2020
|Number of page(s)||4|
|Published online||22 December 2020|
Virial expansions, finite differences, and recursion relations
Department of Physics, Portland State University - Portland, OR 97207, USA
Received: 18 August 2020
Accepted: 8 October 2020
A general density expansion method based on the calculus of finite differences (Ramshaw J. D., J. Chem. Phys., 57 (1972) 2070) is revisited and reformulated. The original expression for the coefficients in the expansion is transformed into an alternative equivalent form which simplifies and facilitates their evaluation. The use of the method is illustrated by determining the virial coefficients of arbitrary order in a density expansion of the pressure in a classical monatomic gas. The resulting virial coefficients are expressed in terms of the Ursell reducible cluster integrals. The functional form of those expressions is determined by simple recursion relations.
PACS: 05.20.-y – Classical statistical mechanics / 05.70.-a – Thermodynamics / 05.70.Ce – Thermodynamic functions and equations of state
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