DYNAMICAL SCALING IN FRAGMENTATION

The dynamics of a fragmentation model is examined from the point of vi ew of numerical simulation and rate equations. The model includes effe cts 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) approximate ly s(-tau)t(omegasgamma e(-rhot) f(s/t(z)) where f(x) is a crossover f unction satisfying f(x) congruent-to 1 for x much less than and f(x) m uch less than 1 for x much greater than 1. The dependence of the criti cal exponents tau, omega, gamma and z on space dimensionality d is stu died from d = 1 to 5. The result of the dynamics on fractal and nonfra ctal objects as well as on square and triangular lattices is also exam ined.