Conversion of Monte Carlo Steps to Real Time for Grain Growth Simulation

Monte Carlo (MC) technique is becoming a very effective simulation method for prediction and analysis of the grain growth kinetics at mesoscopic level. It should be noted that MC models have no real time of physical systems due to the probabilistic nature of this simulation technique. This leads to...

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Main Author: N. Maazi
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2017/4023470
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author N. Maazi
author_facet N. Maazi
author_sort N. Maazi
collection DOAJ
description Monte Carlo (MC) technique is becoming a very effective simulation method for prediction and analysis of the grain growth kinetics at mesoscopic level. It should be noted that MC models have no real time of physical systems due to the probabilistic nature of this simulation technique. This leads to difficulties when converting simulated time, the Monte Carlo steps tMCS, to real time. The correspondence between Monte Carlo steps and real time should be proposed for comparing the kinetics of MC models with the experiments. In this work, the conversion of Monte Carlo steps to real time is attempted. The lattice sites spacing Δ and the temperature T cannot be ignored in the Monte Carlo simulation of grain growth. Real time will be associated with tMCS, T, and Δ.
format Article
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institution Kabale University
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publishDate 2017-01-01
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spelling doaj-art-9dbbcaf0d05b4469829e40a281db6ede2025-02-03T05:49:33ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/40234704023470Conversion of Monte Carlo Steps to Real Time for Grain Growth SimulationN. Maazi0Département de Physique, Faculté des Sciences, Université 20 Août 1955-Skikda, route d’El Hadaiek, BP 26, Skikda, AlgeriaMonte Carlo (MC) technique is becoming a very effective simulation method for prediction and analysis of the grain growth kinetics at mesoscopic level. It should be noted that MC models have no real time of physical systems due to the probabilistic nature of this simulation technique. This leads to difficulties when converting simulated time, the Monte Carlo steps tMCS, to real time. The correspondence between Monte Carlo steps and real time should be proposed for comparing the kinetics of MC models with the experiments. In this work, the conversion of Monte Carlo steps to real time is attempted. The lattice sites spacing Δ and the temperature T cannot be ignored in the Monte Carlo simulation of grain growth. Real time will be associated with tMCS, T, and Δ.http://dx.doi.org/10.1155/2017/4023470
spellingShingle N. Maazi
Conversion of Monte Carlo Steps to Real Time for Grain Growth Simulation
Advances in Mathematical Physics
title Conversion of Monte Carlo Steps to Real Time for Grain Growth Simulation
title_full Conversion of Monte Carlo Steps to Real Time for Grain Growth Simulation
title_fullStr Conversion of Monte Carlo Steps to Real Time for Grain Growth Simulation
title_full_unstemmed Conversion of Monte Carlo Steps to Real Time for Grain Growth Simulation
title_short Conversion of Monte Carlo Steps to Real Time for Grain Growth Simulation
title_sort conversion of monte carlo steps to real time for grain growth simulation
url http://dx.doi.org/10.1155/2017/4023470
work_keys_str_mv AT nmaazi conversionofmontecarlostepstorealtimeforgraingrowthsimulation