Active phase for activated random walks on the lattice in all dimensions

DOI10.1214/22-AIHP1341zbMATH Open1544.60102MaRDI QIDQ6596233

Nicolas Forien, Alexandre Gaudillière

Publication date: 2 September 2024

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

zbMATH Keywords

phase transitionself-organized criticalityactivated random walks

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26)

Cites Work

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• Absorbing-state phase transition in biased activated random walk
• Absorbing-state phase transition for driven-dissipative stochastic dynamics on \(\mathbb Z\)
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• Stochastic orders and the frog model
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• Phase transition for the frog model
• The shape theorem for the frog model
• How far do activated random walkers spread from a single source?
• Activated Random Walks on \(\mathbb{Z}^d\)
• 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
• The spread of a rumor or infection in a moving population
• 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
• Probability on trees and networks
• Nonfixation for Activated Random Walks
• Self-organized criticality
• Logarithmic fluctuations for internal DLA

Related Items (1)

The critical density for activated random walks is always less than 1

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