E. Lomba et al., LIQUID-SOLID TRANSITION OF THE FERROMAGNETIC HEISENBERG FLUID - SIMULATION, DENSITY-FUNCTIONAL, AND PERTURBATION THEORIES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(3), 1998, pp. 3426-3435
The fluid-solid equilibrium of a system of hard spheres with embedded
classical Heisenberg spins is studied by means of computer simulation
and various combinations of density functional theories with the spin-
spin contributions treated at the level of first-order perturbation th
eory. The phase boundaries are determined from the simulation data usi
ng free energy calculations in the ferromagnetic and isotropic phases.
Estimates of the location of the Curie line in the solid are extracte
d from inspection of the evolution of magnetization with temperature.
The agreement between theory and simulation is relatively good for the
ferromagnetic transition and merely qualitative as far as the fluid-s
olid transition is concerned. The theoretical approach investigated he
re tends to underestimate the stability of the liquid phase.