The initial drift of a 2D droplet at zero temperature

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dc.creatorCerf, Raphael
dc.creatorLouhichi, Sana
dc.date2004-11-24
dc.date2005-05-26
dc.date.accessioned2026-07-07T05:14:39Z
dc.date.available2026-07-07T05:14:39Z
dc.descriptionWe consider the 2D stochastic Ising model evolving according to the Glauber dynamics at zero temperature. We compute the initial drift for droplets which are suitable approximations of smooth domains. A specific spatial average of the derivative at time~0 of the volume variation of a droplet close to a boundary point is equal to its curvature multiplied by a direction dependent coefficient. We compute the explicit value of this coefficient.
dc.description46 pages. A modified version thanks to Herbert Spohn comments
dc.identifierhttps://arxiv.org/abs/math/0411545
dc.identifierhttp://arxiv.org/abs/math/0411545
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73358
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60K35, 82C22
dc.titleThe initial drift of a 2D droplet at zero temperature
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