Partition function of the model of perfect gas of clusters for interacting fluids

Grzegorz Siudem


The last paper of A. Fronczak presents a new, combinatorial approach to the model of perfect gas of clusters of interacting fluids. In the paper the enumerative properties and combinatorial meaning of Bell polynomials have been used to reveal some properties of systems described by grand canonical ensemble. In this paper, an exact proof of one of the important assertions from the work mentioned above is given. The assertion states that for the system in which one can distinguish k non interacting clusters the canonical partition function is given by Bell polynomial of the derivatives of the grand-thermodynamic potential with respect to the fugacity. Some possible applications of the considered theorem are presented. © 2013 Polish Scientific Publishers.
Author Grzegorz Siudem (FP / PCSD)
Grzegorz Siudem,,
- Physics of Complex Systems Divison
Journal seriesReports on Mathematical Physics, ISSN 0034-4877
Issue year2013
Publication size in sheets0.5
ASJC Classification2610 Mathematical Physics; 3109 Statistical and Nonlinear Physics
Score (nominal)20
Score sourcejournalList
ScoreMinisterial score = 15.0, 31-03-2020, ArticleFromJournal
Ministerial score (2013-2016) = 20.0, 31-03-2020, ArticleFromJournal
Publication indicators Scopus Citations = 3; WoS Citations = 3; Scopus SNIP (Source Normalised Impact per Paper): 2013 = 0.917; WoS Impact Factor: 2013 = 1.042 (2) - 2013=0.726 (5)
Citation count*1 (2015-04-04)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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