Approach to Fixation for Zero-Temperature Stochastic Ising Models on the Hexagonal Lattice

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dc.creatorCamia, Federico
dc.creatorNewman, Charles M.
dc.creatorSidoravicius, Vladas
dc.date2001-11-14
dc.date.accessioned2026-07-07T04:44:36Z
dc.date.available2026-07-07T04:44:36Z
dc.descriptionWe investigate zero-temperature dynamics on the hexagonal lattice H for the homogeneous ferromagnetic Ising model with zero external magnetic field and a disordered ferromagnetic Ising model with a positive external magnetic field h. We consider both continuous time (asynchronous) processes and, in the homogeneous case, also discrete time synchronous dynamics (i.e., a deterministic cellular automaton), alternating between two sublattices of H. The state space consists of assignments of -1 or +1 to each site of H, and the processes are zero-temperature limits of stochastic Ising ferromagnets with Glauber dynamics and a random (i.i.d. Bernoulli) spin configuration at time 0. We study the speed of convergence of the configuration $σ^t$ at time t to its limit $σ^{\infty}$ and related issues.
dc.description20 pages, to appear in "In and out of equilibrium: probability with a physics flavor", Progress in Probability, Birkhauser
dc.identifierhttps://arxiv.org/abs/math/0111170
dc.identifierhttp://arxiv.org/abs/math/0111170
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62653
dc.subjectProbability
dc.subjectStatistical Mechanics
dc.subject60K35, 82C22, 60K37, 37B15, 82C20
dc.titleApproach to Fixation for Zero-Temperature Stochastic Ising Models on the Hexagonal Lattice
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