Universality and Sharpness in Absorbing-State Phase Transitions

Leonardo T Rolla (1) , Vladas Sidoravicius (1) , Olivier Zindy (2)

1 NYU Shanghai
2 LPSM (UMR_8001) - Laboratoire de Probabilités, Statistique et Modélisation

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

Domaines: Probabilités [math.PR]; Physique mathématique [math-ph]

Leonardo T Rolla, Vladas Sidoravicius, Olivier Zindy. Universality and Sharpness in Absorbing-State Phase Transitions. Annales de l'Institut Henri Poincare Physique Theorique, 2019, ⟨10.1007/s00023-019-00797-0⟩. ⟨hal-01872753⟩