10 citations · 10 across the 3 of their papers we have counts for
4 papers · 1 filter
Extensive analytical and numerical investigation of the kinetic and stochastic Cantor set
M. K. Hassan, M. Z. Hassan, N. I. Pavel
We investigate, both analytically and numerically, the kinetic and stochastic counterpart of the triadic Cantor set. The generator that divides an interval either into three equal…
Condensation-Driven Aggregation in One Dimension
M. K. Hassan, M. Z. Hassan
We propose a model for aggregation where particles are continuously growing by heterogeneous condensation in one dimension and solve it exactly. We show that the particle size spec…
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…
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…