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Advances in Mathematical Physics
Volume 2017, Article ID 4023470, 8 pages
Research Article

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

Département de Physique, Faculté des Sciences, Université 20 Août 1955-Skikda, route d’El Hadaiek, BP 26, Skikda, Algeria

Correspondence should be addressed to N. Maazi; rf.oohay@izaamn

Received 1 April 2017; Accepted 23 May 2017; Published 27 June 2017

Academic Editor: Xavier Leoncini

Copyright © 2017 N. Maazi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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 , 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 cannot be ignored in the Monte Carlo simulation of grain growth. Real time will be associated with , , and Δ.