Physics – Mathematical Physics
Scientific paper
2008-08-08
Physics
Mathematical Physics
5 pages
Scientific paper
The cascade kinetic fragmentation process of solids is investigated when the condition probability density of splinter formation do not depends on time and has the property $P(\rho, r, t) = P(\rho/r)$. It is obtained the evolution equation for the probability distribution density in terms of its Mellin transformation. In the particular case $P(\rho/r) = C (\rho/r)^\alpha$, the limit solution of this equation at $t \to \infty$ is found. It differs essentially from the Kolmogorov law.
Brodskii R. E.
Virchenko Yu P.
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