3 papers
cond-mat.stat-mech2004
Scale Invariant Fractal and Slow Dynamics in Nucleation and Growth Processes
M. K. Hassan, J. Kurths
We propose a stochastic counterpart of the classical Kolmogorov-Johnson-Mehl-Avrami (KJMA) model to describe the nucleation-and-growth phenomena of a stable phase (S-phase). We rep…
cond-mat.stat-mech2001
Can Smoluchowski equation account for gelation transition?
M. K. Hassan, J. Kurths
We revisit the scaling theory of the Smoluchowski equation with special emphasis on the dimensional analysis to derive the scaling ansatz and to give an insightful foundation to it…
cond-mat1996
Fractals, Multifractals and the Science of Complexity
M. K. Hassan
We discuss the formation of stochastic fractals and multifractals using the kinetic equation of fragmentation approach. We also discuss the potential application of this sequential…