output
19922026
most citedCatastrophic cascade of failures in interdependent networks

4.5k citations

Showing 2012 · cond-mat.stat-mechShow all

7 papers · 2 filters

cond-mat.stat-mech2012★ 33 cited

Simultaneous first and second order percolation transitions in interdependent networks

Dong Zhou, Amir Bashan, Reuven Cohen +3

In a system of interdependent networks, an initial failure of nodes invokes a cascade of iterative failures that may lead to a total collapse of the whole system in a form of an ab…

cond-mat.stat-mech2012★ 83 cited

Time averaged Einstein relation and fluctuating diffusivities for the Lévy walk

Daniela Froemberg, Eli Barkai

The Lévy walk model is a stochastic framework of enhanced diffusion with many applications in physics and biology. Here we investigate the time averaged mean squared displacement $…

cond-mat.stat-mech2012★ 15 cited

Mass Dependence of Instabilities of an Oscillator with Multiplicative and Additive Noise

Moshe Gitterman, David A. Kessler

We study the instabilities of a harmonic oscillator subject to additive and dichotomous multiplicative noise, focussing on the dependance of the instability threshold on the mass.…

cond-mat.stat-mech2012★ 101 cited

Fluctuations of noise and the low frequency cutoff paradox

Markus Niemann, Holger Kantz, Eli Barkai

Recent experiments on blinking quantum dots and weak turbulence in liquid crystals reveal the fundamental connection between noise and power law intermittency. The non-statio…

cond-mat.stat-mech2012★ 31 cited

Weak subordination breaking for the quenched trap model

Stas Burov, Eli Barkai

We map the problem of diffusion in the quenched trap model onto a new stochastic process: Brownian motion which is terminated at the coverage "time" ${\cal S}_α=\sum_{x=-\infty} ^\…

cond-mat.stat-mech2012★ 104 cited

Theory of fractional-Lévy kinetics for cold atoms diffusing in optical lattices

David A. Kessler, Eli Barkai

Recently, anomalous superdiffusion of ultra cold 87Rb atoms in an optical lattice has been observed along with a fat-tailed, Lévy type, spatial distribution. The anomalous exponent…