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Sunday, March 24, 2019

History Of Monte Carlo Method :: essays research papers

It could be argued that current physics research could be divided into three areas - theoretical, experimental and computational. Numerical approach, in which systems are mimicked as accurately as possible using a computer or in which computer models are set up to provide strong - behaved experimental systems are increasingly providing a bridge between opening and experiment, for instance the monte Carlo method acting (MC) and the molecular-dynamics method (MD). In Monte Carlo method the exact dynamical mien of a system is replaced by a stochastic process, whereas the MD methods are based on a simpler linguistic rule and consists of solving a system of Newtons equations for an N-body system. Stochastic simulation is some time called MC simulation (simulation is a numerical technique for conducting experiment on a digital computer, which involves certain types of mathematical and logical models that describe the behavior of the system over extended period of real time). The gen erally judge birth date of the MC method is 1949, when an article entitled "The Monte Carlo Method" appeared, the American mathematicians J.Neyman and S.Ulam are considered to be its originator. The first successful occupation of this method to a problem of statistical thermodynamics dates back only to 1953, when seat of government and co-workers studied "fluid" consisting of hard disks. In the nineteenth and early 20th centuries, statistical problems were sometimes solved with the help of random selections, that is, in fact, by the MC method. Prior to the appearance of electronic computers, this method was not widely applicable since the simulation of random quantities by hand is a actually laborious process. Thus, the beginning of the MC method as a exceedingly universal numerical technique became possible only with the appearance of computers. Historically, the MC method was considered to be a technique, using random numbers, to find a solution of a model u nder study.

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