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29 March 2024
 
  » arxiv » cond-mat/0003501

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Formation of a New Class of Random Fractals in Fragmentation with Mass Loss
M. K. Hassan ;
Date 31 Mar 2000
Subject Statistical Mechanics; Chemical Physics; Pattern Formation and Solitons | cond-mat.stat-mech nlin.PS physics.chem-ph
AffiliationDepartment of Physics, Theoretical Physics Division, Dhaka University, Bangladesh
AbstractWe consider the fragmentation process with mass loss and discuss self-similar properties of the arising structure both in time and space focusing on dimensional analysis. This exhibits a spectrum of mass exponents $ heta$, whose exact numerical values are given for which $x^{- heta}$ or $t^{ heta z}$ has the dimension of particle size distribution function c(x,t) where z is the kinetic exponent. We also give explicit scaling solution for special case. Finally, we identify a new class of fractals ranging from random to non-random and show that the fractal dimension increases with increasing order and a transition to strictly self-similar pattern occurs when randomness is completely seized.
Source arXiv, cond-mat/0003501
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