Metastable States In The Van Der Waals-Maxwell Theory

Abstract

A slight modification of the recent Penrose and Lebowitz treatment of thermodynamic metastable states is presented. For the case of periodic boundary conditions, this modification allows the condition of metastability to be extended to all the metastable states in the van der Waals-Maxwell theory of the liquid-vapor phase transition, that is, for all states satisfying f0(ρ)+1/2 αρ2>f(ρ, 0+) and f″0(ρ)+α≥x>0 where f(ρ, 0+) is the (stable) Helmholtz free energy density of the generalized van der Waals-Maxwell theory and f0(ρ) is the Helmholtz free energy density of a reference system with no long-range interaction, α is a "mean field"-type term arising from a long-range Kac interaction, ρ is the overall mean particle density, and x is any positive number. For the case of rigid-wall boundary conditions, a more restrictive condition is placed on x. © 1973 Plenum Publishing Corporation.

Department(s)

Physics

Keywords and Phrases

Classical fluids; statistical mechanics; thermodynamic metastability

International Standard Serial Number (ISSN)

1572-9613; 0022-4715

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Springer, All rights reserved.

Publication Date

01 Jul 1973

Share

 
COinS