Asymptotics of activity series at the divergence point

Pramana: Journal of physics

LEONID BULAVIN^2¹  MYKHAILO USHCATS^1,2²  SVETLANA USHCATS^1³ 

[1] Department of Information Management Systems and Technologies, Admiral Makarov National University of Shipbuilding, Mykolayiv 54025, Ukraine^3;Department of Molecular Physics, Taras Shevchenko University of Kiev, Kiev 03680, Ukraine^2;Physics Department, Admiral Makarov National University of Shipbuilding, Mykolayiv 54025, Ukraine^1

关键词: Equation of state;    condensation;    reducible cluster integral;    irreducible cluster integral;    Mayer’s cluster expansion;    virial series;    activity;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

For statistical models of imperfect gases, a new method is proposed to evaluate the reducible cluster integrals of very high (actually unlimited) orders on the basis of information on the irreducible integrals (virial coefficients) or information on the corresponding radius of convergence for the virial series in powers of activity. This method is used to transform conventional expansions for pressure and density in powers of activity to a functional form that allows the analytical study of those series at the vicinity of their divergence point. In particular, the results of this study confirm the adequacy of the cluster-based approach at the condensation region and agreewith the results of the previous studies of partition function in terms of irreducible integrals.

【 授权许可】

CC BY