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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…
Modeling Acoustic Emission in Microfracturing Phenomena
Stefano Zapperi, Alessandro Vespignani, H. Eugene Stanley
It has been recently observed that synthetic materials subjected to an external elastic stress give rise to scaling phenomena in the acoustic emission signal. Motivated by this exp…
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…
Scaling for the Coalescence of Microfractures before Breakdown
Stefano Zapperi, Purusattam Ray, H. Eugene Stanley +1
We study the behavior of fracture in disordered systems close to the breakdown point. We simulate numerically both scalar (resistor network) and vectorial (spring network) models w…
Renormalization of Systems with Non-equilibrium Critical Stationary States
Alessandro Vespignani, Stefano Zapperi, Vittorio Loreto
We introduce the general formulation of a renormalization method suitable to study the critical properties of non-equilibrium systems with steady-states: the Dynamically Driven Ren…
Dynamically Driven Renormalization Group
Alessandro Vespignani, Stefano Zapperi, Vittorio Loreto
We present a detailed discussion of a novel dynamical renormalization group scheme: the Dynamically Driven Renormalization Group (DDRG). This is a general renormalization method de…