Active phase for activated random walk on \(\mathbb{Z}\)

DOI10.1007/s00220-022-04572-xOpenAlexW4309878934MaRDI QIDQ2699072

Leonardo T. Rolla, Jacob Richey, Christopher Hoffmann

Publication date: 26 April 2023

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.09491

Mathematics Subject Classification ID

Probability theory and stochastic processes (60-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Absorbing-state phase transition in biased activated random walk
• Absorbing-state phase transition for driven-dissipative stochastic dynamics on \(\mathbb Z\)
• Absorbing-state transition for stochastic sandpiles and activated random walks
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• Oil and water: a two-type internal aggregation model
• Activated random walkers: facts, conjectures and challenges
• Non-fixation for biased activated random walks
• Critical density of activated random walks on transitive graphs
• Sandpile models
• Activated random walk on a cycle
• Active phase for activated random walks on \(\mathbb{Z}^d, d\geq3\), with density less than one and arbitrary sleeping rate
• Recurrence and density decay for diffusion-limited annihilating systems
• Non-fixation for conservative stochastic dynamics on the line
• Universality and sharpness in activated random walks
• Non-equilibrium phase transitions: activated random walks at criticality
• Abelian Networks I. Foundations and Examples
• Nonfixation for Activated Random Walks

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