The initial drift of a 2D droplet at zero temperature

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We 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.
46 pages. A modified version thanks to Herbert Spohn comments

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Probability, Mathematical Physics, 60K35, 82C22

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http://salesiana.dossiersoluciones.com/handle/123456789/73358

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411545
 http://arxiv.org/abs/math/0411545

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arXiv