Multifractality and multiscaling in two dimensional fragmentation

Abstract

We consider two models (A and B) which can describe both two dimensional fragmentation and stochastic fractals. Model A exhibits multifractality on a unique support when describing a fragmentation process and on one of infinitely many possible supports when describing stochastic fractals. Model B obeys simple scaling.

9 pages (Latex), 1 figure not included (a copy of can be obtained upon request at [email protected]; to appear in Physics Letters A

Cited by in corpus (14)

• Scale-free network topology and multifractality in weighted planar stochastic lattice
• Fractal dimension and degree of order in sequential deposition of mixture
• Self-similarity, Aboav-Weaire's and Lewis' laws in weighted planar stochastic lattice
• Universality class of site and bond percolation on multi-multifractal scale-free planar stochastic lattice
• Can randomness alone tune the fractal dimension?
• Emergence of fractal in aggregation with stochastic self-replication
• Stochastic Fractal and Noether's Theorem
• Scale-free coordination number disorder and multifractal size disorder in weighted planar stochastic lattice
• Dyadic Cantor set and its kinetic and stochastic counterpart
• Emergence of fractal behavior in condensation-driven aggregation
• Explosive percolation on scale-free multifractal weighted planar stochastic lattice
• Transition from random to ordered fractals in fragmentation of particles in an open system
• A weighted planar stochastic lattice with scale-free, small-world and multifractal properties
• Multi-multifractality and dynamic scaling in stochastic porous lattice