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Kinetic growth of field-oriented chains in dipolar colloidal solutions
M. -Carmen Miguel, R. Pastor-Satorras
Experimental 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…
Long-range-interactions induced ordered structures in deposition processes
R. Pastor-Satorras, J. M. Rubi
We 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, hig…
The Maximum Entropy principle and the nature of fractals
R. Pastor-Satorras, J. Wagensberg
We 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…
Stochastic equation for the erosion of inclined topography
Romualdo Pastor-Satorras, Daniel H. Rothman
We 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 an…
Scaling of a slope: the erosion of tilted landscapes
Romualdo Pastor-Satorras, Daniel H. Rothman
We 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 probl…