TITLE

Evaluation of growth rate equations of three-dimensional grains using large-scale Monte Carlo simulation

AUTHOR(S)
Hao Wang; Guoquan Liu
PUB. DATE
September 2008
SOURCE
Applied Physics Letters;9/29/2008, Vol. 93 Issue 13, p131902
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Three-dimensional normal grain growth process was simulated in scale of 300×300×300 on the basis of Monte Carlo–Potts model to study topology-dependent growth rate equations for individual grains. The results show that those growth rate equations solely dependent on the grain face number (f) are not applicable for grains with face number f<8; however, Glazier’s equation [J. A. Glazier, Phys. Rev. Lett. 70, 2170 (1993)], MacPherson–Srolovitz’s topology-dependent equation [R. D. MacPherson and D. J. Srolovitz, Nature (London) 446, 1053 (2007)], and Yu–Liu’s equation [G. Q. Liu and H. B. Yu, Chin. Sci. Bull. 41, 2000 (1996)] describe the simulation data well for grains with face number f>8.
ACCESSION #
34771957

 

Related Articles

  • Master equation approach to folding kinetics of lattice polymers based on conformation networks. Yu-Pin Luo; Ming-Chang Huang; Jinn-Wen Wu; Tsong-Ming Liaw; Lin, Simon C. // Journal of Chemical Physics;4/7/2007, Vol. 126 Issue 13, p134907 

    Based on the master equation with the inherent structure of conformation network, the authors investigate some important issues in the folding kinetics of lattice polymers. First, the topologies of conformation networks are discussed. Moreover, a new scheme of implementing Metropolis algorithm,...

  • A Nonparametric Test for I(0). Lobato, Ignacio N.; Robinson, Peter M. // Review of Economic Studies;Jul98, Vol. 65 Issue 3, p475 

    There is frequently interest in testing that a scalar or vector time series is I(0), possibly after first-differencing or other detrending, while the I(0) assumption is also taken for granted in autocorrelation-consistent variance estimation. We propose a test for I(0) against fractional...

  • Monte Carlo Simulation of Influence of Input Parameters Uncertainty on Output Data. Sobek, Lukáš // AIP Conference Proceedings;1/5/2010, Vol. 1204 Issue 1, p157 

    Input parameters of a complex system in the probabilistic simulation are treated by means of probability density function (PDF). The result of the simulation have also probabilistic character. Monte Carlo simulation is widely used to obtain predictions concerning the probability of the risk. The...

  • Effect of branching and confinement on star-branched polymeric systems. Maury-Evertsz, Johnny R.; Estévez, L. Antonio; López, Gustavo E. // Journal of Chemical Physics;11/1/2004, Vol. 121 Issue 17, p8652 

    The effect of confinement, number of branches (functionality), and size of the molecules on various properties as a function of temperature of star-branched polymers confined between two walls was studied using Monte Carlo simulations with the parallel tempering technique. The coil-to-globule...

  • Monte Carlo simulation of biospecific interactions. Hubble, John // Biotechnology Letters;Sep2000, Vol. 22 Issue 18, p1483 

    Numerical simulations of the stochastic time evolution of biospecific interactions are described and show that when molecular populations are large, time course predictions match those obtained using a deterministic expression. When population size is decreased the effects of stochastic noise...

  • Capillary waves in a colloid-polymer interface. Vink, R. L. C.; Horbach, J.; Binder, K. // Journal of Chemical Physics;4/1/2005, Vol. 122 Issue 13, p134905 

    The structure and the statistical fluctuations of interfaces between coexisting phases in the Asakura–Oosawa model [J. Chem. Phys. 22, 1255 (1954)] for a colloid-polymer mixture are analyzed by extensive Monte Carlo simulations. We make use of a recently developed grand canonical cluster...

  • ESTIMATION OF FLUX DISTRIBUTIONS WITH MONTE CARLO FUNCTIONAL EXPANSION TALLIES. Griesheimer, David P.; Martin, William R.; Holloway, James Paul // Radiation Protection Dosimetry;2005, Vol. 115 Issue 1-4, p428 

    Monte Carlo methods provide a powerful technique for estimating the average radiation flux in a volume (or across a surface) in cases where analytical solutions may not be possible. Unfortunately, Monte Carlo simulations typically provide only integral results and do not offer any further...

  • Microscopic structure and thermodynamics of a core-softened model fluid: Insights from grand canonical Monte Carlo simulations and integral equations theory. Pizio, Orest; Dominguez, Hector; Duda, Yurko; Sokołowski, Stefan // Journal of Chemical Physics;5/7/2009, Vol. 130 Issue 17, p174504 

    We have studied the microscopic structure and thermodynamic properties of isotropic three-dimensional core-softened model fluid by using extensive grand canonical Monte Carlo computer simulations and Ornstein–Zernike integral equations with hypernetted chain and Rogers–Young...

  • Multiple “time step” Monte Carlo simulations: Application to charged systems with Ewald summation. Bernacki, Katarzyna; Hetényi, Balázs; Berne, B. J. // Journal of Chemical Physics;7/1/2004, Vol. 121 Issue 1, p44 

    Recently, we have proposed an efficient scheme for Monte Carlo simulations, the multiple “time step” Monte Carlo (MTS-MC) [J. Chem. Phys. 117, 8203 (2002)] based on the separation of the potential interactions into two additive parts. In this paper, the structural and thermodynamic...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics