DYNAMICAL SCALING IN FRAGMENTATION

被引:7
作者
COUTINHO, K [1 ]
ADHIKARI, SK [1 ]
GOMES, MAF [1 ]
机构
[1] UNIV ESTADUAL PAULISTA,INST FIS TEOR,BR-01405 SAO PAULO,BRAZIL
关键词
D O I
10.1063/1.354984
中图分类号
O59 [应用物理学];
学科分类号
摘要
The dynamics of a fragmentation model is examined from the point of view of numerical simulation and rate equations. The model includes effects of temperature. The number n (s,t) of fragments of size s at time t is obtained and is found to obey the scaling form n(s,t) approximately s(-tau)t(omegasgamma e(-rhot) f(s/t(z)) where f(x) is a crossover function satisfying f(x) congruent-to 1 for x much less than and f(x) much less than 1 for x much greater than 1. The dependence of the critical exponents tau, omega, gamma and z on space dimensionality d is studied from d = 1 to 5. The result of the dynamics on fractal and nonfractal objects as well as on square and triangular lattices is also examined.
引用
收藏
页码:7577 / 7587
页数:11
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