0372-400Х (Edition in Ukrainian)
2071-0186 (Edition in English)
2071-0194 (in electronic form)
Abbreviated key title: Ukr. J. Phys.
Brandt A.1, Ilyin V.1, Skarboviychuk A.2
1 Weizmann Institute of Science
(234, Herzl Str., Rehovot 76100, Israel; e-mail: firstname.lastname@example.org, email@example.com)
2 National University of Food Technology
(68, Volodymyrs’ka Str., Kyiv 01601, Ukraine; e-mail: firstname.lastname@example.org)
Large Scale Monte Carlo Simulations of Fluids Under Gravity
Section: Soft matter
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.