29 citations · 197 across the 25 of their papers we have counts for
25 papers
Redefinition of site percolation in light of entropy and the second law of thermodynamics
M. S. Rahman, M. K. Hassan
In this article, we revisit random site and bond percolation in square lattice focusing primarily on the behavior of entropy and order parameter. In the case of traditional site pe…
Universality class of explosive percolation in Barabási-Albert networks
M. Habib-E-Islam, M. K. Hassan
In this work, we study explosive percolation (EP) in Barabási-Albert (BA) network, in which nodes are born with degree , for both product rule (PR) and sum rule (SR) of the Ac…
Product-Sum universality and Rushbrooke inequality in explosive percolation
M. K. Hassan, M. M. H. Sabbir
We study explosive percolation (EP) on Erdös-Rényi network for product rule (PR) and sum rule (SR). Initially, it was claimed that EP describes discontinuous phase transition, now…
On entropy, specific heat, susceptibility and Rushbrooke inequality in percolation
M. K. Hassan, D. Alam, Z. I. Jitu +1
We investigate percolation, a probabilistic model for continuous phase transition (CPT), on square and weighted planar stochastic lattices. In its thermal counterpart, entropy is m…
Explosive percolation on scale-free multifractal weighted planar stochastic lattice
M. K. Hassan, M. M. Rahman
In this article, we investigate explosive bond percolation (EBP) with product rule, formally known as Achlioptas process, on a scale-free multifractal weighted planar stochastic la…
Universality class of site and bond percolation on multi-multifractal scale-free planar stochastic lattice
M. K. Hassan, M. M. Rahman
In this article, we investigate both site and bond percolation on a weighted planar stochastic lattice (WPSL) which is a multi-multifractal and whose dual is a scale-free network.…