8 research outputs found
Exact first-passage exponents of 1D domain growth: relation to a reaction diffusion model
In the zero temperature Glauber dynamics of the ferromagnetic Ising or
-state Potts model, the size of domains is known to grow like .
Recent simulations have shown that the fraction of spins which have
never flipped up to time decays like a power law with a non-trivial dependence of the exponent on
and on space dimension. By mapping the problem on an exactly soluble
one-species coagulation model (), we obtain the exact
expression of in dimension one.Comment: latex,no figure