Absorbing-State Phase Transition for Driven-Dissipative Stochastic Dynamics on Z
classification
🧮 math.PR
cond-mat.stat-mechmath-phmath.MP
keywords
systemsabsorbing-statephasestochastictransitionactivatedbehaviorconservative
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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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