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Particle-cluster aggregation with dipolar interactions
(1995-06)
Article
Open AccessThe properties of aggregates generated from an off-lattice, two-dimensional, particle-cluster aggregation model with dipolar interparticle interactions have been investigated. The fractal dimension seems to be a monotonically ... -
Branch distribution in diffusion-limited aggregation: a maximum entropy approach
(1996-02-15)
Article
Restricted access - publisher's policyA new approach to the branching structure of diffusion-limited aggregation (DLA) clusters is proposed, in which the stress is laid not on the (traditionally used) order of the branches, but on their mass. The branch ... -
Multifractal properties of power-law time sequences: application to rice piles
(1997-11)
Article
Open AccessWe study the properties of time sequences extracted from a self-organized critical system, within the framework of the mathematical multifractal analysis. To this end, we propose a fixed-mass algorithm, well suited to deal ... -
Fractal properties of cluster of colloidal magnetic particles
(1998-05)
Article
Restricted access - publisher's policyWe have studied the properties of clusters of colloidal magnetic particles generated from a 2D aggregation model with dipolar interparticle interactions. Particles diffuse off-lattice, experiencing dipolar 1 with the already ... -
Stochastic equation for the erosion of inclined topography
(American Institute of Physics (AIP), 1998-05-11)
Article
Open AccessWe present a stochastic equation to model the erosion of topography with fixed inclination. The inclination causes the erosion to be anisotropic. A zero-order consequence of the anisotropy is the dependence of the prefactor ... -
Long-range-interaction induced ordered structures in deposition processes
(American Institute of Physics (AIP), 1998-06-15)
Article
Open AccessWe present a new model of sequential adsorption in which the adsorbing particles experience dipolar interactions. We show that in the presence of these long-range interactions, highly ordered structures in the adsorbed ... -
The maximum entropy principle and the nature of fractals
(1998-06-19)
Article
Open AccessWe apply the Principle of Maximum Entropy to the study of a general class of deterministic fractal sets. The scaling laws peculiar to these objects are accounted for by means of a constraint concerning the average content ... -
Scaling of a slope: the erosion of tilted landscapes
(1998-11)
Article
Open AccessWe formulate a stochastic equation to model the erosion of a surface with fixed inclination. Because the inclination imposes a preferred direction for material transport, the problem is intrinsically anisotropic. At zeroth ... -
Kinetic growth of field-oriented chains in dipolar colloidal solutions
(1999-01)
Article
Open AccessExperimental studies on the irreversible growth of field-induced chains of dipolar particles suggest an asymptotic power-law behavior of several relevant quantities. We introduce a Monte Carlo model of chain growth that ... -
Universality classes in directed sandpile models
(1999-07-27)
Article
Restricted access - publisher's policyWe perform large-scale numerical simulations of a directed version of the two-state stochastic sandpile model. Numerical results show that this stochastic model defines a new universality class with respect to the Abelian ... -
Growth of oriented chains in dipolar colloids
(1999-11-29)
Article
Restricted access - publisher's policyWe investigate the dynamics of the irreversible aggregation of linear rigid chains oriented along a preferred direction. We propose a Monte Carlo model, whose key ingredient is a logarithmically corrected anisotropic ... -
Ballistic adsorption of colloidal magnetic particles
(1999-11-29)
Article
Restricted access - publisher's policyWe present a new model of sequential adsorption in which the adsorbing particles experience anisotropic dipolar interactions. These long-range interactions induce highly ordered structures in the adsorbed layer at low ...