Transition from random to ordered fractals in fragmentation of particles in an open system.

摘要: We consider the fragmentation process with mass loss and discuss self-similar properties of arising structure both in time space, focusing on dimensional analysis. This exhibits a spectrum exponents theta, whose exact numerical values are given for which x(-theta) or t(theta z) has dimension particle size distribution function psi(x,t), where z is kinetic exponent. obtained conditions scaling altogether breaks down, we give an explicit solution special case. Finally, identify new class fractals ranging from random to nonrandom show that fractal increases increasing order transition strictly pattern occurs when randomness completely ceases.