Monte Carlo simulation of circular grain growth
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Date
2011Subject/s
Unesco Subject/s
3305.90 Transmisión de Calor en la Edificación
1203 Ciencia de Los Ordenadores
1203.04 Inteligencia Artificial
1203.09 Diseño Con Ayuda del Ordenador
1209.09 Análisis Multivariante
Abstract
Monte Carlo simulations have been carried out to study the effect of temperature on the growth kinetics of a circular grain. This work demonstrates the importance of roughening fluctuations on the growth dynamics. Since the effect of thermal fluctuations is stronger in d =2 than in d =3, as predicted by d =3 theories of domain kinetics, the circular domain shrinks linearly with time as A (t)=A(0)-at, where A (0) and A(t) are the initial and instantaneous areas, respectively. However, in contrast to d =3, the slope a is strongly temperature dependent for T=0.6TC. An analytical theory which considers the thermal fluctuations agrees with the T dependence of the Monte Carlo data in this regime, and this model show that these fluctuations are responsible for the strong temperature dependence of the growth rate for d =2. Our results are particularly relevant to the problem of domain growth in surface science. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
Monte Carlo simulations have been carried out to study the effect of temperature on the growth kinetics of a circular grain. This work demonstrates the importance of roughening fluctuations on the growth dynamics. Since the effect of thermal fluctuations is stronger in d =2 than in d =3, as predicted by d =3 theories of domain kinetics, the circular domain shrinks linearly with time as A (t)=A(0)-at, where A (0) and A(t) are the initial and instantaneous areas, respectively. However, in contrast to d =3, the slope a is strongly temperature dependent for T=0.6TC. An analytical theory which considers the thermal fluctuations agrees with the T dependence of the Monte Carlo data in this regime, and this model show that these fluctuations are responsible for the strong temperature dependence of the growth rate for d =2. Our results are particularly relevant to the problem of domain growth in surface science. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
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