24.8k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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4 papers · 2 filters
Order Parameter and Scaling Fields in Self-Organized Criticality
Alessandro Vespignani, Stefano Zapperi
We present a unified dynamical mean-field theory for stochastic self-organized critical models. We use a single site approximation and we include the details of different models by…
First-Order Transition in the Breakdown of Disordered Media
Stefano Zapperi, Purusattam Ray, H. Eugene Stanley +1
We study the approach to global breakdown in disordered media driven by increasing external forces. We first analyze the problem by mean-field theory, showing that the failure proc…
Slowly Divergent Drift in the Field-Driven Lorentz Gas
P. L. Krapivsky, S. Redner
The dynamics of a point charged particle which is driven by a uniform external electric field and moves in a medium of elastic scatterers is investigated. Using rudimentary approac…
Self-organized criticality in a rice-pile model
Luis A. Nunes Amaral, Kent B. Lauritsen
We present a new model for relaxations in piles of granular material. The relaxations are determined by a stochastic rule which models the effect of friction between the grains. We…