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

@inproceedings{Katsevich2021TheLE, title={The Local Equilibrium State of a Crystal Surface Jump Process in the Rough Scaling Regime}, author={Anya Katsevich}, year={2021} }

We investigate the local equilibrium (LE) distribution of a crystal surface jump process as it approaches its hydrodynamic (continuum) limit in a nonstandard, “rough” scaling regime introduced by Marzuola and Weare. The rough scaling leads to a local equilibrium state whose structure is novel, to the best of our knowledge. The distinguishing characteristic of the new LE state is that the ensemble average of single lattice site observables do not vary smoothly across lattice sites. This raises…

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

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