Anomalous dynamic scaling in locally conserved coarsening of fractal clusters

被引：5

作者：

Lipshtat, Azi ^{[1
]}

Meerson, Baruch ^{[1
]}

Sasorov, Pavel V. ^{[2
]}

机构：

[1] Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel

[2] Inst. of Theor. and Exp. Physics, Moscow 117259, Russia

来源：

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2002年 / 65卷 / 05期

关键词：

Computer simulation - Contamination - Correlation methods - Diffusion - Fractals - Phase transitions;

D O I：

10.1103/PhysRevE.65.050501

中图分类号：

学科分类号：

摘要：

We report two-dimensional phase-field simulations of locally conserved coarsening dynamics of random fractal clusters with fractal dimension D=1.5 and 1.5. The correlation function, cluster perimeter, and solute mass are measured as functions of time. Analyzing the correlation function dynamics, we identify two different time-dependent length scales that exhibit power laws in time. The exponents of these power laws do not show any dependence on D; one of them is apparently the classical exponent 1/3. The solute mass versus time exhibits dynamic scaling with a D-dependent exponent, in agreement with a simple scaling theory. © 2002 The American Physical Society.

引用

页码：1 / 050501