EconPapers    
Economics at your fingertips  
 

Critical scaling in the theory of real fluids

V. N. Bondarev ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2010, vol. 77, issue 2, 153-165

Abstract: An approach developed in the author’s recent paper [V.N. Bondarev, Phys. Rev. E 77, R050103 (2008)], where the independent calculation of three critical exponents for a fluid was demonstrated, is generalized to the case of the critical isotherm. This has allowed us to calculate, independently, three more critical exponents: δ=4, μ=5/12, and α=1/8. These “non-classical” values are in good agreement with those determined experimentally and are rather close to the 3-dimensional Ising ones. In addition, on the basis of this approach a solution of the so-called Yang-Yang problem concerning the “pressure” and the “chemical potential” contributions to the critical singularity of the isochoric heat capacity of a fluid is proposed. Also, the so-called “corrections to scaling” terms are considered in the framework of the developed theory and the corresponding exponents at the critical isochore and the critical isotherm are calculated. The results obtained provide a natural perspective for including the non-classical (of the Ising-type) description of fluid critical properties into the conventional theory of liquids. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2010

Date: 2010
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1140/epjb/e2010-00260-9 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:77:y:2010:i:2:p:153-165

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/e2010-00260-9

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().

 
Page updated 2025-03-20
Handle: RePEc:spr:eurphb:v:77:y:2010:i:2:p:153-165