Invariance Principle for a Solid-on-Solid Interface Model
نویسنده
چکیده
A stochastic process describing the behavior of the solid-on-solid interface in a strip of width L is studied. The invariant and reversible measure for the process is the Gibbs state with Hamiltonian H = Z [q(x)tt(x + 1 )[. Under "free" boundary conditions, we show that the height of the moving interface at any site converges, when suitable renormalized, to Brownian motion with a diffusion coefficient proportional to L x.
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