Monte Carlo Renormalization-Group Study of the Late-Stage Dynamics of Spinodal Decomposition
Author(s) -
Christopher Roland,
Martin Grant
Publication year - 1988
Publication title -
physical review letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.688
H-Index - 673
eISSN - 1079-7114
pISSN - 0031-9007
DOI - 10.1103/physrevlett.60.2657
Subject(s) - spinodal decomposition , ostwald ripening , renormalization group , physics , ising model , monte carlo method , scaling , statistical physics , kinetic monte carlo , spinodal , ferromagnetism , kinetic energy , mathematical physics , condensed matter physics , phase (matter) , thermodynamics , quantum mechanics , mathematics , statistics , geometry
The kinetics of spinodal decomposition has been studied by a Monte Carlo renormalization-group method. Using the standard blocking transformation, we numerically renormalize the evolving configurations during phase separation of a two-dimensional kinetic Ising ferromagnet with spin-exchange dynamics. We find that, as the scaling regime is approached, the domain size R grows in time t as R_tn, where we obtain n=0.338±0.008. This is consistent with the classical result of Lifshitz and Slyozov for Ostwald ripening, namely n=1/3
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