Consideration of Terms Proportionate to (1/v)²c in the Distribution Function Expansion and their Contribution to the Thermodynamic Properties of Strong Electrolytes Solutions

Article type: Research Article

Authors: Hayryan, E.A.^a | Grouba, V.D.^b | Sidorenko, S.N.^{b; 1}

Affiliations: [a] Information Technology Laboratory, Joint Institute for Nuclear Research, Dubna, Moscow Region, Russia | [b] Computational Physics Laboratory, Peoples' Friendship University of Russia, Moscow, Russia

Correspondence: [1] Corresponding author: S. N. Sidorenko, Computational Physics Laboratory, Peoples' Friendship University of Russia, ul. Miklukho – Maklaya, 6, 117198, Moscow, Russia. Tel. 7-095-955 07 83. Fax 7-095-952 25 72. E-mail: ssidorenko@sci.pfu.edu.ru

Abstract: It is common knowledge that when deriving the distribution function equation one must use the expansion of distribution function as the inverse of the per one particle volume series (1/v = N/v). When doing such expansion, one usually restricts himself by the first power of 1/v, or, at best, the second power of 1/v. The question naturally arises: how much is the value of omitted terms and what is their contribution to the properties of a particular thermodynamic system? Specific calculations have not been reported but, as a rule, it is affirmed that their role is negligible.

Keywords: Strong electrolytes, distribution function, thermodynamic properties, free energy, dilution enthalpy, ionic subsystem

DOI: 10.3233/JCM-2002-21-212

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 2, no. 1-2, pp. 87-94, 2002