PMID: 11909195Mar 23, 2002Paper

Numerical confirmation of late-time t(1/2) growth in three-dimensional phase ordering

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Gregory Brown, P A Rikvold

Abstract

Results for the late-time regime of phase ordering in three dimensions are reported, based on numerical integration of the time-dependent Ginzburg-Landau equation with nonconserved order parameter at zero temperature. For very large systems (700(3)) at late times, t> or =150, the characteristic length grows as a power law, R(t) approximately t(n), with the measured n in agreement with the theoretically expected result n=1/2 to within statistical errors. In this time regime R(t) is found to be in excellent agreement with the analytical result of Ohta, Jasnow, and Kawasaki [Phys. Rev. Lett. 49, 1223 (1982)]. At early times, good agreement is found between the simulations and the linearized theory with corrections due to the lattice anisotropy.

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Citations

Oct 5, 2013·The Journal of Chemical Physics·Tjipto Juwono, Per Arne Rikvold
Jul 23, 2004·The Journal of Chemical Physics·Marcin Fiałkowski, Robert Hołyst
Jun 13, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Marcin Fiałkowski, Robert Hołyst
Sep 28, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Attila Szolnoki, György Szabó
Sep 28, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·HoKei Chan, Ingo Dierking
Feb 24, 2005·The European Physical Journal. E, Soft Matter·M Fiałkowski, R Hołyst
Mar 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yongwoo KwonPeter W Voorhees
Sep 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Federico CorberiMarco Zannetti
Nov 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Marcin Fiałkowski, Robert Hołyst

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