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The Pinning Paths of an Elastic Interface
Hernan A. Makse, Sergey Buldyrev, Heiko Leschhorn +1
We introduce a model describing the paths that pin an elastic interface moving in a disordered medium. We find that the scaling properties of these ``elastic pinning paths'' (EPP)…
Noisy Kuramoto-Sivashinsky equation for an erosion model
Kent Baekgaard Lauritsen, Rodolfo Cuerno, Hernan A. Makse
We derive the continuum equation for a discrete model for ion sputtering. We follow an approach based on the master equation, and discuss how it can be truncated to a Fokker-Planck…
Elastic String in a Random Medium
Hernán A. Makse, Albert-László Barabási, H. Eugene Stanley
We consider a one dimensional elastic string as a set of massless beads interacting through springs characterized by anisotropic elastic constants. The string, driven by an externa…
Quantitative Characterization of Permeability Fluctuations in Sandstone
Hernán A. Makse, Glenn W. Davies, Shlomo Havlin +3
Sedimentary rocks have complicated permeability fluctuations arising from the geological processes that formed them. These permeability fluctuations significantly affect the flow o…
Method for Generating Long-Range Correlations for Large Systems
Hernán A. Makse, Shlomo Havlin, Moshe Schwartz +1
We propose a new method to generate a sequence of random numbers with long-range power-law correlations that overcomes known difficulties associated with large systems. The new met…
Stochastic Model for Surface Erosion Via Ion-Sputtering: Dynamical Evolution from Ripple Morphology to Rough Morphology
Rodolfo Cuerno, Hernan A. Makse, Silvina Tomassone +2
Surfaces eroded by ion-sputtering are sometimes observed to develop morphologies which are either ripple (periodic), or rough (non-periodic). We introduce a discrete stochastic mod…