Asymptotics of activity series at the divergence point

作者：Ushcats Svetlana; Ushcats Mykhailo; Bulavin Leonid; Svechnikova Oksana; Mykheliev Ihor

来源：Pramana - Journal of Physics, 2018, 91(3): 31.

DOI：10.1007/s12043-018-1604-3

• Equation of state
• condensation
• reducible cluster integral
• irreducible cluster integral
• Mayer's cluster expansion
• virial series
• activity

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 agree with the results of the previous studies of partition function in terms of irreducible integrals.

• 出版日期2018-9