Abstract
A comparison is made between a 3-dimensional model of a ferrofluid using Monte Carlo (MC) and Integral Equation techniques in the absence of an applied field. The MC simulations were performed using standard Metropolis sampling. Pair distribution functions were obtained and compared with those determined using the hypernetted chain (HNC) approximation which for systems with nonspherical potentials entails the expansion of the correlation functions in terms of rotational invariants. At densities applicable to real fluids agreement between the two methods is found to be excellent, and this justifies the use of the HNC approximation to determine thermodynamic data which are free statistical errors in this regime.
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