most citedDisorder Induced Localized States in Graphene

619 citations

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cond-mat.stat-mech20058 cited

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…

cond-mat.stat-mech200533 cited

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…

cond-mat.stat-mech2005314 cited

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…

cond-mat.stat-mech200534 cited

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…

cond-mat.stat-mech20056 cited

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…

cond-mat.stat-mech200540 cited

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…