Abstract Domain walls in magnets, vortex lattices in superconductors, contact lines at
depinning, and many other systems can be modeled as an elastic system subject to …

We propose two new kinds of infinite resistor networks based on the Fibonacci sequence: a
serial association of resistor sets connected in parallel (type 1) or a parallel association of …

Fractal properties on self-affine surfaces of films growing under nonequilibrium conditions
are important in understanding the corresponding universality class. However …

Growth in crystals can be usually described by field equations such as the Kardar-Parisi-
Zhang (KPZ) equation. While the crystalline structure can be characterized by Euclidean …

Abstract The Kardar-Parisi-Zhang (KPZ) equation has been connected to a large number of
important stochastic processes in physics, chemistry and growth phenomena, ranging from …

A computational model is proposed to investigate drug delivery systems in which erosion
and diffusion mechanisms are participating in the drug release process. Our approach …

A connection between the global roughness exponent and the fractal dimension of a rough
interface, whose dynamics are expected to be described by stochastic continuum models …

Abstract The Family–Vicsek (FV) relation is a seminal universal relation obtained for the
global roughness at the interface of two media in the growth process. In this work, we revisit …

We develop a hypothesis that the dynamics of equilibrium systems at criticality have their
dynamics constricted to a fractal subspace. We relate the correlation fractal dimension …

We study the kinetic roughening of the single-step (SS) growth model with a tunable
parameter p in 1+ 1 and 2+ 1 dimensions by performing extensive numerical simulations …