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arXiv math/0411545math.PRmath-phmath.MP

The initial drift of a 2D droplet at zero temperature

Raphael Cerf, Sana Louhichi

英文摘要:

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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