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20132025
most citedAnalysis of a fourth order exponential PDE arising from a crystal surface jump process with Metropolis-type transition rates

6 citations · 10 across the 12 of their papers we have counts for

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Showing 2021Show all

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math.PR2021

From local equilibrium to numerical PDE: Metropolis crystal surface dynamics in the rough scaling limit

Anya Katsevich

We derive the PDE governing the hydrodynamic limit of a Metropolis rate crystal surface height process in the "rough scaling" regime introduced by Marzuola and Weare. The PDE takes…

math.PR2021

The Local Equilibrium State of a Crystal Surface Jump Process in the Rough Scaling Regime

Anya Katsevich

We investigate the local equilibrium (LE) distribution of a crystal surface jump process as it approaches its hydrodynamic (continuum) limit in a nonstandard scaling regime introdu…