# [027] The freezing of soft spheres from a simple hard-sphere perturbation theory

J F Lutsko and M Baus, "The freezing of soft spheres from a simple hard-sphere perturbation theory", *J. Phys.: Condens. Matter*, **3**, 6547 (1991) __http://jimlutsko.github.io/files/J_F_Lutsko_1991_J._Phys_A_Condens._Matter_3_028.pdf__

## Abstract

It is shown that a simple perturbation expansion around the free energy of a (BCC/FCC) hard-sphere crystal leads to accurate predictions for the (BCC/FCC) freezing of soft spheres interacting via the inverse-power potential, V(r)= epsilon ( sigma /r)n, for all values of n including the extreme case of the one-component plasma (n=1). In particular, the authors find that for 1<or=n<or=6 there is both a fluid-BCC and BCC-FCC transition whereas for n>6 the BCC phase is unstable and only the fluid-FCC transition survives, in agreement with the computer simulations.