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Citation: Zhang Bingjian, Hou Yujun. DERIVATION OF EQUATION OF STATE FOR FLUIDS FROM STATISTICAL MECHANICS——A NEW ANALYTIC REPRESENTATION OF SQUARE-WELL POTENTIAL HARD SPHERE PERTURBATION THEORY[J]. Acta Physico-Chimica Sinica, ;1986, 2(06): 560-568. doi: 10.3866/PKU.WHXB19860613 shu

DERIVATION OF EQUATION OF STATE FOR FLUIDS FROM STATISTICAL MECHANICS——A NEW ANALYTIC REPRESENTATION OF SQUARE-WELL POTENTIAL HARD SPHERE PERTURBATION THEORY

1.
Zhejiang University; Hangzhou

Received Date: 8 February 1985
Available Online: 15 December 1986

A simple and accurate analytic representation of square-well potential hard sphere perturbation theory is derived based upon the Zwanzig perturbation method. The higher-order perturbation terms are obtained by using the Barker-Henderson approximation. A new form of radial distribution function g(R)=1/ηgj(η/(1-η))~j is proposed and applied. The theory is tested by calculating thermodynamic properies with the four-term truncated form of the (η/(1-η)) expansions and compared with available Monte Carlo and Molecular Dynamics computer simulation calculations. The results are in od agreement.
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