2k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- The Abdus Salam International Centre for Theoretical Physics (ICTP)IT14 papers
- Bangladesh Atomic Energy CommissionBD9 papers
- Qatar UniversityQA8 papers
- BRAC UniversityBD7 papers
- United Arab Emirates UniversityAE7 papers
- University of KansasUS7 papers
- Bangladesh University of Engineering and TechnologyBD6 papers
- Max Planck Institute for Gravitational PhysicsDE6 papers
- North South UniversityBD6 papers
- University of PotsdamDE6 papers
- Ahsanullah University of Science and TechnologyBD5 papers
- American International University-BangladeshBD5 papers
28 papers · 1 filter
Dynamic scaling and stochastic fractal in nucleation and growth processes
Amit Lahiri, Md. Kamrul Hassan, Bernd Blasius +1
A class of nucleation and growth models of a stable phase (S-phase) is investigated for various different growth velocities. It is shown that for growth velocities a…
Multi-multifractality and dynamic scaling in stochastic porous lattice
Tushar Mitra, Md. Kamrul Hassan
In this article, we extend the idea of stochastic dyadic Cantor set to weighted planar stochastic lattice that leads to a stochastic porous lattice. The process starts with an init…
A weighted planar stochastic lattice with scale-free, small-world and multifractal properties
Tushar Mitra, Md. Kamrul Hassan
We investigate a class of weighted planar stochastic lattice (WPSL1) created by random sequential nucleation of seed from which a crack is grown parallel to one of the sides of the…
Stochastic Fractal and Noether's Theorem
Rakibur Rahman, Fahima Nowrin, M. Shahnoor Rahman +2
We consider the binary fragmentation problem in which, at any breakup event, one of the daughter segments either survives with probability or disappears with probability $1\!-\…
Similarity and self-similarity in random walk with fixed, random and shrinking steps
Tushar Mitra, Tomal Hossain, Santo Banerjee +1
In this article, we first give a comprehensive description of random walk (RW) problem focusing on self-similarity, dynamic scaling and its connection to diffusion phenomena. One o…
The effects of competition between random sequential nucleation of point-sized seeds and island growth by adsorption of finite-sized grains
A. Khanam, J. A. D. Wattis, M. K. Hassan
We study random sequential adsorption of particles from pool onto a one dimensional substrate following ballistic deposition rules, with separate nucleation and growth processes oc…
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.…
New universality class in percolation on multifractal scale-free planar stochastic lattice
M. K. Hassan, M. M. Rahman
We investigate site percolation on a weighted planar stochastic lattice (WPSL) which is a multifractal and whose dual is a scale-free network. Percolation is typically characterize…
Self-similarity, Aboav-Weaire's and Lewis' laws in weighted planar stochastic lattice
F. R. Dayeen, M. K. Hassan
In this article, we show that the block size distribution function in the weighted planar stochastic lattice (WPSL), which is a multifractal and whose dual is a scale-free network,…
Dyadic Cantor set and its kinetic and stochastic counterpart
M. K. Hassan, N. I. Pavel, R. K. Pandit +1
Firstly, we propose and investigate a dyadic Cantor set (DCS) and its kinetic counterpart where a generator divides an interval into two equal parts and removes one with probabilit…
Emergence of fractal in aggregation with stochastic self-replication
M. K. Hassan, M. Z. Hassan, N. Islam
We propose and investigate a simple model which describes the kinetics of aggregation of Brownian particles with stochastic self-replication. An exact solution and the scaling theo…
Scale-free coordination number disorder and multifractal size disorder in weighted planar stochastic lattice
M. K. Hassan, M. Z. Hassan, N. I. Pavel
The square lattice is perhaps the simplest cellular structure. In this work, however, we investigate the various structural and topological properties of the kinetic and stochastic…
Dynamic scaling, data-collapse and self-similarity in Barabási-Albert networks
M. Kamrul Hassan, M. Zahedul Hassan, Neeaj I. Pavel
In this article, we show that if each node of the Barabási-Albert (BA) network is characterized by the generalized degree , i.e. the product of their degree and the square r…
Scale-free network topology and multifractality in weighted planar stochastic lattice
M. K. Hassan, M. Z. Hassan, N. I. Pavel
We propose a weighted planar stochastic lattice (WPSL) formed by the random sequential partition of a plane into contiguous and non-overlapping blocks and find that it evolves foll…
Emergence of fractal behavior in condensation-driven aggregation
M. K. Hassan, M. Z. Hassan
We investigate a model in which an ensemble of chemically identical Brownian particles are continuously growing by condensation and at the same time undergo irreversible aggregatio…
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…
An analytic model for a cooperative ballistic deposition in one dimension
M. K. Hassan, N. Wessel, J. Kurths
We formulate a model for a cooperative ballistic deposition (CBD) process whereby the incoming particles are correlated with the ones already adsorbed via attractive force. The str…
Jamming and asymptotic behavior in competitive random parking of bidisperse cars
M. K. Hassan, J. Schmidt, B. Blasius +1
We propose a generalized car parking problem where either a car of size or of size () is sequentially parked on a line with probability and , respectively.…
Can randomness alone tune the fractal dimension?
M. K. Hassan, J. Kurths
We present a generalized stochastic Cantor set by means of a simple {\it cut and delete process} and discuss the self-similar properties of the arising geometric structure. To incr…