Journal of Physical Studies 1(3), 459–468 (1997)
DOI: https://doi.org/10.30970/jps.01.459

ON ONE FORM OF EQUATIONS CHAINS FOR EQUILIBRIUM MANY-PARTICLE DISTRIBUTION FUNCTIONS

Yu. V. Slusarenko
National Science Center ‟Kharkiv Institute of Physics and Technology",
1 Akademichna Str., Kharkiv UA-310108, Ukraine

The derivation of new form of linked equation chains for classical equilibrium many-particle distribution functions is proposed. This is based on differentiating Gibbs distribution with respect to temperature and chemical potential. It is shown that in the theory of equilibrium states of lowly nonideal systems, the procedure of virial expansion is significantly simplified and does not require complex combinatoric to use due to the obtained equations.

A formal solutions of the derived chains is found, and the obtained equations are considered to clasifying (similarly Yang-Lee classification) and describing phase transitions.


PACS number(s): 75.10.Jm, 75.30.Kz, 75.30.Ds

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