output
19922026
most citedCatastrophic cascade of failures in interdependent networks

4.5k citations

Showing 2005 · cond-mat.stat-mechShow all

11 papers · 2 filters

cond-mat.stat-mech2005★ 7 cited

Worm-like Polymer Loops and Fourier Knots

S. Rappaport, Y. Rabin, A. Yu. Grosberg

Every smooth closed curve can be represented by a suitable Fourier sum. We show that the ensemble of curves generated by randomly chosen Fourier coefficients with amplitudes invers…

cond-mat.stat-mech2005★ 43 cited

Front Propagation up a Reaction Rate Gradient

Elisheva Cohen, David A. Kessler, Herbert Levine

We expand on a previous study of fronts in finite particle number reaction-diffusion systems in the presence of a reaction rate gradient in the direction of the front motion. We st…

cond-mat.stat-mech2005★ 5 cited

Front Propagation Dynamics with Exponentially-Distributed Hopping

Elisheva Cohen, David A. Kessler

We study reaction-diffusion systems where diffusion is by jumps whose sizes are distributed exponentially. We first study the Fisher-like problem of propagation of a front into an…

cond-mat.stat-mech2005★ 44 cited

Optimization of Network Robustness to Random Breakdowns

Gerald Paul, Sameet Sreenivasan, Shlomo Havlin +1

We study network configurations that provide optimal robustness to random breakdowns for networks with a given number of nodes and a given cost--which we take as the average nu…

cond-mat.stat-mech2005★ 54 cited

A Random Walk to a Non-Ergodic Equilibrium Concept

Golan Bel, Eli Barkai

Random walk models, such as the trap model, continuous time random walks, and comb models exhibit weak ergodicity breaking, when the average waiting time is infinite. The open ques…

cond-mat.stat-mech2005★ 7 cited

Equation-free Dynamic Renormalization of a KPZ-type Equation

David A. Kessler, Ioannis G. Kevrekidis, Ligang Chen

In the context of equation-free computation, we devise and implement a procedure for using short-time direct simulations of a KPZ type equation to calculate the self-similar soluti…