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

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

2003-08-29

arxiv.org/abs/cond-mat/0308628v2

Phys. Lett. A 323, 427-433 (2004)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 2 tables, 3 figures; title has changed; new figure; to be published in Physics Letters A

Scientific paper

10.1016/j.physleta.2004.02.039

We consider a fluid of $d$-dimensional spherical particles interacting via a pair potential $\phi(r)$ 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 $k_BT/\epsilon$ 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.

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