Umbral calculus and the theory of multispecies non-ideal gases
type: Item
instance of: scholarly article
title: Umbral calculus and the theory of multispecies non-ideal gases
zbMATH Open document ID: 0666.76101
DOI: 10.1016/0378-4371(86)90126-3
author: Brian G. Wilson
author: Forrest J. Rogers
published in: Physica A
publication date: 1986-01-01T00:00:00Z
review text: Relations in the cluster expansion theory of non-ideal gases are presented using the recently developed formalism of umbral calculus. This paper provides an overview of the mathematical theory and explicitly derives the virial expansion and relations between the partition function and reducible and irreducible cluster coefficients for single and multispecies non-ideal gases. It is shown that these results are obtained remarkably easily using the methods of umbral calculus.
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 82B40
Mathematics Subject Classification ID: 05A40
zbMATH DE Number: 4091074
zbMATH Keywords: grand partition function
zbMATH Keywords: cluster expansion theory
zbMATH Keywords: non-ideal gases
zbMATH Keywords: umbral calculus
zbMATH Keywords: virial expansion
zbMATH Keywords: irreducible cluster coefficients
MaRDI profile type: Publication
full work available at URL: 0378-4371(86)90126-3
OpenAlex ID: W1972197634
cites work: Q3844537
cites work: An algebraic proof of the Lagrange-Bürmann formula
cites work: Lagrange inversion in higher dimensions and umbral operators
cites work: Q5508008
cites work: Q3237738
description: scientific article; zbMATH DE number 4091074