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7 papers · 2 filters
Polymerization with Freezing
E. Ben-Naim, P. L. Krapivsky
Irreversible aggregation processes involving reactive and frozen clusters are investigated using the rate equation approach. In aggregation events, two clusters join irreversibly t…
Simulation of the Burridge-Knopoff Model of Earthquakes with Variable Range Stress Transfer
Junchao Xia, Harvey Gould, W. Klein +1
Simple models of earthquake faults are important for understanding the mechanisms for their observed behavior, such as Gutenberg-Richter scaling and the relation between large and…
Dynamics of Social Balance on Networks
T. Antal, P. L. Krapivsky, S. Redner
We study the evolution of social networks that contain both friendly and unfriendly pairwise links between individual nodes. The network is endowed with dynamics in which the sense…
A "Burnt Bridge'' Brownian Ratchet
T. Antal, P. L. Krapivsky
Motivated by a biased diffusion of molecular motors with the bias dependent on the state of the substrate, we investigate a random walk on a one-dimensional lattice that contains w…
Unzipping flux lines from extended defects in type-II superconductors
Yariv Kafri, David R. Nelson, Anatoli Polkovnikov
With magnetic force microscopy in mind, we study the unbinding transition of individual flux lines from extended defects like columnar pins and twin planes in type II superconducto…
Dynamics of Social Diversity
E. Ben-Naim, S. Redner
We introduce and solve analytically a model for the development of disparate social classes in a competitive population. Individuals advance their fitness by competing against thos…