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Linear fluctuation of interfaces in Glauber-Kawasaki dynamics

math.PR · 2024-12-05 · conditional · novelty 7.0

The scaled density fluctuation field of a Glauber-Kawasaki lattice gas near a stationary flat interface converges to e(ϑ)√̟B_t in dimension 1 and to e(ϑ)Z_t(θ), with Z solving the additive-noise one-dimensional stochastic heat equation, in dimension 2.

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  • Linear fluctuation of interfaces in Glauber-Kawasaki dynamics math.PR · 2024-12-05 · conditional · none · ref 1

    The scaled density fluctuation field of a Glauber-Kawasaki lattice gas near a stationary flat interface converges to e(ϑ)√̟B_t in dimension 1 and to e(ϑ)Z_t(θ), with Z solving the additive-noise one-dimensional stochastic heat equation, in dimension 2.