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arXiv · 1305.4542

Zero-temperature limit of the Kawasaki dynamics for the Ising lattice gas in a large two-dimensional torus

B. Gois·C. Landim
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Abstract

We consider the Kawasaki dynamics at inverse temperature $β$ for the Ising lattice gas on a two-dimensional square of length $2L+1$ with periodic boundary conditions. We assume that initially the particles form a square of length $n$, which may increase, as well as $L$, with $β$. We show that in a proper time scale the particles form almost always a square and that the center of mass of the square evolves as a Brownian motion when the temperature vanishes.

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B. Gois, C. Landim. 2015-09-09. Zero-temperature limit of the Kawasaki dynamics for the Ising lattice gas in a large two-dimensional torus. https://doi.org/10.1214/14-aop930

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