Universality and Sharpness in Absorbing-State Phase Transitions

2017/07/19 by Leonardo T. Rolla, Rolla, Leonardo T., Vladas Sidoravičius +3 · 2 citations
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1707.06081

openalex publication_date 2017/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Activated Random Walks

Cited by

• Internal Diffusion Limited Aggregation with Critical Branching Random Walks
• Mean-field limit for activated random walk on the integer lattice

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