A novel stochastic fluid model is proposed with a nonideal structure factor consistent with compressibility, and adjustable transport coefficients. This stochastic hard sphere dynamics (SHSD) algorithm is a modification of the direct simulation Monte Carlo algorithm and has several computational advantages over event-driven hard-sphere molecular dynamics. Surprisingly, SHSD results in an equation of state and a pair correlation function identical to that of a deterministic Hamiltonian system of penetrable spheres interacting with linear core pair potentials. The fluctuating hydrodynamic behavior of the SHSD fluid is verified for the Brownian motion of a nanoparticle suspended in a compressible solvent.
Alejandro Garcia, A. Donev, and B. J. Alder. "Stochastic Hard-Sphere Dynamics for Hydrodynamics of Non-Ideal Fluids" Physical Review Letters 101 (2008): 075902-1-075902-4. doi:http://dx.doi.org/10.1103/PhysRevLett.101.075902