The initial drift of a 2D droplet at zero temperature

Details The initial drift of a 2D droplet at zero temperature The initial drift of a 2D droplet at zero temperature

2004-11-24

arxiv.org/abs/math/0411545v2

Mathematics

Probability

46 pages. A modified version thanks to Herbert Spohn comments

Scientific paper

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.

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