Numerical confirmation of late-time t1/2 growth in three-dimensional phase ordering

被引：19

作者：

Brown, Gregory ^{[1
]}

Rikvold, Per Arne ^{[1
,2
]}

机构：

[1] Sch. Compl. Sci. and Info. Technol., Florida State University, Tallahassee, FL 32306-4120

[2] Ctr. for Mat. Res. and Technology, Department of Physics, Florida State University, Tallahassee, FL 32306-4350

来源：

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2002年 / 65卷 / 03期

关键词：

Anisotropy - Computer simulation - Error analysis - Hydrodynamics - Integration - Statistical methods;

D O I：

10.1103/PhysRevE.65.036137

中图分类号：

学科分类号：

摘要：

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 (7003) at late times, t≥150, the characteristic length grows as a power law, R(t)∼tn, 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. © 2002 The American Physical Society.

引用

页码：1 / 036137