The penetrable-sphere fluid in the high-temperature, high-density limit

Abstract

We consider a fluid of $d$-dimensional spherical particles interacting via a pair potential $\varphi (r)$ which takes a finite value $\epsilon$ if the two spheres are overlapped ($r<\sigma$) and 0 otherwise. This penetrable-sphere model has been proposed to describe the effective interaction of micelles in a solvent. We derive the structural and thermodynamic functions in the limit where the reduced temperature $k_{B}T/\epsilon$ and density $\rho {\sigma }^d$ tend to infinity, their ratio being kept finite. The fluid exhibits a spinodal instability at a certain maximum scaled density where the correlation length diverges and a crystalline phase appears, even in the one-dimensional model. By using a simple free-volume theory for the solid phase of the model, the fluid-solid phase transition is located.

6 pages, 2 tables, 3 figures; v2: title has changed; new figure; v3: Correction of misprints (see http://dx.doi.org/10.1016/j.physleta.2012.05.043)

References in corpus (1)

• A theorem on the absence of phase transitions in one-dimensional growth models with onsite periodic potentials

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