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Absorbing-state phase transition for driven-dissipative stochastic dynamics on ℤ

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Abstract

We study the long-time behavior of conservative interacting particle systems in ℤ: the activated random walk model for reaction-diffusion systems and the stochastic sandpile. We prove that both systems undergo an absorbing-state phase transition.

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Authors and Affiliations

  1. École Normale Supérieure, 45, rue d’Ulm, Paris, 75005, France

    Leonardo T. Rolla

  2. Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina, 110, Rio de Janeiro, 22.460-320, Brasil

    Leonardo T. Rolla & Vladas Sidoravicius

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  1. Leonardo T. Rolla
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  2. Vladas Sidoravicius
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Correspondence to Vladas Sidoravicius.

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Rolla, L.T., Sidoravicius, V. Absorbing-state phase transition for driven-dissipative stochastic dynamics on ℤ. Invent. math. 188, 127–150 (2012). https://doi.org/10.1007/s00222-011-0344-5

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  • DOI: https://doi.org/10.1007/s00222-011-0344-5

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