Universality is a powerful concept, which enables making qualitative and quantitative
predictions in systems with extensively many degrees of freedom. It finds realizations in …

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 …

The determination of the exact exponents of the KPZ class in any substrate dimension d is
one of the most important open issues in Statistical Physics. Based on the behavior of the …

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 …

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 …

The Kardar–Parisi-Zhang (KPZ) equation is examined using the recently published leapfrog–
hopscotch (LH) method as well as the most standard forward time centered space (FTCS) …

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 …