LARGE SCALE MONTE CARLO SIMULATIONS OF FLUIDS UNDER GRAVITY

A multilevel Monte Carlo method for simulations of fluids under gravity is developed. The approach is based on the Conditional Probability of a state that can be treated as the stochastic equation for the simulated system. The method is illustrated for test cases of a perfect gas and hard-core fluids in one- and two-dimensions, by using model Conditional Probability functions.