Hydrodynamic limit of the Kawasaki dynamics on the 1D-lattice with strong, finite-range interaction

Younghak Kwon; Georg Menz; Kyeongsik Nam

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arXiv · 2010.01266

Hydrodynamic limit of the Kawasaki dynamics on the 1D-lattice with strong, finite-range interaction

Younghak Kwon·Georg Menz·Kyeongsik Nam

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Abstract

We derive the hydrodynamic limit of the Kawasaki dynamics for the one-dimensional conservative system of unbounded real-valued spins with arbitrary strong, quadratic and finite-range interactions. This extends prior results for non-interacting spin systems. The result is obtained by adapting two scale approach of Grunewald, Otto, Villani and Westdickenberg combined with the authors' recent approach on conservative systems with strong interactions.

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Younghak Kwon, Georg Menz, Kyeongsik Nam. 2020-10-03. Hydrodynamic limit of the Kawasaki dynamics on the 1D-lattice with strong, finite-range interaction. https://arxiv.org/abs/2010.01266

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