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arXiv · 1707.06081

Universality and Sharpness in Absorbing-State Phase Transitions

Leonardo T. Rolla·Vladas Sidoravicius·Olivier Zindy
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Abstract

We consider the Activated Random Walk model in any dimension with any sleep rate and jump distribution and ergodic initial state. We show that the stabilization properties depend only on the average density of particles, regardless of how they are initially located on the lattice.

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Leonardo T. Rolla, Vladas Sidoravicius, Olivier Zindy. 2017-07-19. Universality and Sharpness in Absorbing-State Phase Transitions. https://arxiv.org/abs/1707.06081

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