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Dynamic Monte Carlo method
About: Dynamic Monte Carlo method is a research topic. Over the lifetime, 13294 publications have been published within this topic receiving 371256 citations.
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TL;DR: In this article, Monte Carlo simulations on liquid water between two rigid walls have been performed and the results of these simulations have been compared with simulations on non-polar solutes in water.
87 citations
TL;DR: This work constructs and analyzes multilevel Monte Carlo methods for the approximation of distribution functions and densities of univariate random variables and applies them to smooth path-independent and path-dependent functionals and to stopped exit times of stochastic differential equations (SDEs).
Abstract: We construct and analyze multilevel Monte Carlo methods for the approximation of distribution functions and densities of univariate random variables. Since, by assumption, the target distribution is not known explicitly, approximations have to be used. We provide a general analysis under suitable assumptions on the weak and strong convergence. We apply the results to smooth path-independent and path-dependent functionals and to stopped exit times of stochastic differential equations (SDEs).
87 citations
01 Jan 1986
TL;DR: The theoretical background is described for the application of Monte Carlo sampling to calculate statistical ensemble averages of classical interacting many-body systems and some approximative variants of the technique are discussed which might become useful to simulate critical phenomena.
Abstract: An outline is given of the physical problems which can be treated by Monte Carlo sampling and which are described in the later chapters of this book. Then the theoretical background is described for the application of this technique to calculate statistical ensemble averages of classical interacting many-body systems. The practical realization of the method is discussed, as well as its limitations due to finite time averaging, finite size and boundary effects, etc. It is shown how to extract meaningful information from the “raw data” of such a “computer experiment”. The stochastic simulation of kinetic processes is also treated, with particular emphasis on the interpretation of the results near phase transitions in the system. Finally some approximative variants of the technique are discussed which might become useful to simulate critical phenomena.
87 citations
TL;DR: In this article, the authors studied the solvation force between neutral surfaces in water by running the grand canonical ensemble Monte Carlo simulations on the system containing up to 102 water-like particles between parallel smooth plates immersed in the fluid.
Abstract: The solvation force between neutral surfaces in water is studied by running the grand canonical ensemble Monte Carlo simulations on the system containing up to 102 water‐like particles between parallel smooth plates immersed in the fluid. The water molecules are modeled like hard spheres with embedded point dipoles and orientation dependent adhesion potential. The pressure between the walls as a function of the distance displays oscillations resembling those observed experimentally, The overall attraction between the plates is observed despite the absence of direct wall–wall or wall–fluid attractive forces.
87 citations