Partition function of the model of perfect gas of clusters for interacting fluids
AbstractThe 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.
|Journal series||Reports on Mathematical Physics, ISSN 0034-4877|
|Publication size in sheets||0.5|
|Score|| = 15.0, 31-03-2020, ArticleFromJournal|
= 20.0, 31-03-2020, ArticleFromJournal
|Publication indicators||= 3; = 3; : 2013 = 0.917; : 2013 = 1.042 (2) - 2013=0.726 (5)|
|Citation count*||1 (2015-04-04)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.