Correspondence between the ideal Bose gas in a space of fractional dimension and a dense nonideal gas according to Maslov's scheme
type: Item
instance of: scholarly article
title: Correspondence between the ideal Bose gas in a space of fractional dimension and a dense nonideal gas according to Maslov's scheme
zbMATH Open document ID: 1263.82050
DOI: 10.1134/S1061920811010043
author: E. M. Apfel'baum
author: V. S. Vorob'ev
published in: Russian Journal of Mathematical Physics
publication date: 2012-10-22T00:00:00Z
review text: Using a method developed by V. Maslov, the authors discuss the correspondence between the thermodynamics of real nonideal gases and the thermodynamics of the ideal Bose gas in a space of fractional dimension. The authors postulate that the compressibility factor of the ideal Bose gas when the chemical potential is equal to zero is equal to the compressibility factor of the real gas in the critical point/dimensions of a space that varies from two to three. The thermodynamical potential of the ideal Bose gas and real nonideal gases is comprised for Ar, Hg, H\(_2\)O, NH\(_3\) and Cs. The critical isotherms computed using Maslov's sheme agree well with the latest experimental data.
reviewed by: Oleg A. Sinkevich
Mathematics Subject Classification ID: 82D05
Mathematics Subject Classification ID: 82D15
Mathematics Subject Classification ID: 82B30
zbMATH DE Number: 6097068
zbMATH Keywords: thermodynamical properties
zbMATH Keywords: Bose gas
zbMATH Keywords: nonideal gas
zbMATH Keywords: fractional dimension
zbMATH Keywords: van der Waals equation
zbMATH Keywords: isotherms
zbMATH Keywords: Maslov formalism
MaRDI profile type: Publication
cites work: Q4329424
cites work: Q4365276
cites work: New distribution formulas for classical gas, clusters, and phase transitions
cites work: On an ideal gas related to the law of corresponding states
full work available at URL: s1061920811010043
OpenAlex ID: W2371068805
description: scientific article; zbMATH DE number 6097068