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ISSN 2071-0186   Ukr. J. Phys. 2015, Vol. 60, N 8, p.737-747
doi:10.15407/ujpe60.01.0737    Paper

Brandt A.1, Ilyin V.1, Skarboviychuk A.2

1 Weizmann Institute of Science
(234, Herzl Str., Rehovot 76100, Israel; e-mail: achi.brandt@weizmann.ac.il, valery.ilyin@weizmann.ac.il)
2 National University of Food Technology
(68, Volodymyrs’ka Str., Kyiv 01601, Ukraine; e-mail: alex.skarb@gmail.com)

Large Scale Monte Carlo Simulations of Fluids Under Gravity

Section: Soft matter
Language: English

Abstract: 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.

Key words: multilevel, multigrid, Monte Carlo, gravity effect.