54 citations · 149 across the 4 of their papers we have counts for
8 papers · 1 filter
Constant rate linear interface depinning and self organized criticality
Alexei Vazquez, Oscar Sotolongo-Costa
The precise determination of the universality classes in self-organized critical phenomena (SOC) is still an unsolved problem. Different SOC models like sandpile, linear interface…
Universality in self-organized critical slope models
Alexei Vazquez, Oscar Sotolongo-Costa
The dynamics of critical slope self-organized critical models is studied, using a previous mapping into a linear interface depinning model dragged at one end. The model is solved o…
On the equivalence between the Barkhausen effect and directed Abelian sandpile models
Alexei Vazquez, Oscar Sotolongo-Costa
The existence of self-organized criticality in the Barkhausen effect and its analogy with sandpile models is investigated. It is demonstrated that a model recently introduced to de…
Force fluctuations in granular materials
Alexei Vazquez, Jose Marin-Antuña, O. Sotolongo-Costa
Force fluctuations in granular materials are investigated. A continuum equation is derived starting from a discrete model proposed in the literature. The influence of boundary cond…
Domain wall dynamics in soft magnetic materials
Alexei Vazquez, Oscar Sotolongo-Costa
The dynamics of a domain wall in magnetostrictive materials is investigated. The domain wall is modeled by a d-dimensional interface moving in a d+1-dimensional environment. Long-r…
Self-organized criticality in linear interface depinning and sandpile models
Alexei Vazquez, Oscar Sotolongo-Costa
The dynamics of an elastic interface profile h(x,t) under a driving force increasing at rate c, a restored force -epsilon h, and disorder is investigated. Using perturbation theory…