3 citations · 4 across the 3 of their papers we have counts for
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Hydrodynamic limit of the Kawasaki dynamics on the 1D-lattice with strong, finite-range interaction
Younghak Kwon, Georg Menz, Kyeongsik Nam
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-ran…
Equivalence of the grand canonical ensemble and the canonical ensemble on 1d-lattice systems
Younghak Kwon, Jaehun Lee, Georg Menz
We consider a one-dimensional lattice system of unbounded, real-valued spins with arbitrary strong, quadratic, finite-range interaction. We show the equivalence of the grand canoni…
Deducing a variational principle with minimal a priori assumptions
Andrew Krieger, Georg Menz, Martin Tassy
We study the well-known variational and large deviation principle for graph homomorphisms from to . We provide a robust method to deduce those principles…
Metastability in a continuous mean-field model at low temperature and strong interaction
Kaveh Bashiri, Georg Menz
We consider a system of mean-field interacting stochastic differential equations that are driven by a single-site potential of double-well form and by Brownian…
Toward a quantitative theory of the hydrodynamic limit
Deniz Dizdar, Georg Menz, Felix Otto +1
This article provides non-trivial technical ingredients for the article "The quantitative hydrodynamic limit of the Kawasaki dynamics" by the same authors. In that work a quantitat…
The quantitative hydrodynamic limit of the Kawasaki dynamics
Deniz Dizdar, Georg Menz, Felix Otto +1
We derive for the first time in the literature a rate of convergence in the hydrodynamic limit of the Kawasaki dynamics for a one-dimensional lattice system. We use an adaptation o…