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

Katsevich, Anya

doi:10.1137/21m1425499

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

Journal Article · 23 November 2022 · Multiscale Modeling & Simulation

DOI:https://doi.org/10.1137/21m1425499· OSTI ID:2419480

Katsevich, Anya ^[1]

Department of Mathematics, Courant Institute of Mathematical Sciences, New York University, New York, NY 10012 USA ().; OSTI

Not provided.

Research Organization:: Krell Institute, Ames, IA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: FG02-97ER25308

OSTI ID:: 2419480

Journal Information:: Multiscale Modeling & Simulation, Journal Name: Multiscale Modeling & Simulation Journal Issue: 4 Vol. 20; ISSN 1540-3459

Publisher:: SIAM

Country of Publication:: United States

Language:: English

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Nonlinear diffusion limit for a system with nearest neighbor interactions Guo, M. Z.; Papanicolaou, G. C.; Varadhan, S. R. S. Communications in Mathematical Physics, Vol. 118, Issue 1 https://doi.org/10.1007/BF01218476	journal	March 1988
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Existence Theorems for a Multidimensional Crystal Surface Model Liu, Jian-Guo; Xu, Xiangsheng SIAM Journal on Mathematical Analysis, Vol. 48, Issue 6 https://doi.org/10.1137/16M1059400	journal	January 2016
Analysis of a fourth-order exponential PDE arising from a crystal surface jump process with Metropolis-type transition rates Gao, Yuan; Katsevich, Anya E.; Liu, Jian-Guo Pure and Applied Analysis, Vol. 3, Issue 4 https://doi.org/10.2140/paa.2021.3.595	journal	December 2021
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Analysis of a continuum theory for broken bond crystal surface models with evaporation and deposition effects Gao, Yuan; Liu, Jian-Guo; Lu, Jianfeng Nonlinearity, Vol. 33, Issue 8 https://doi.org/10.1088/1361-6544/ab853d	journal	June 2020
Physics at Surfaces Zangwill, Andrew Get accessCited by 936 Andrew Zangwill, Georgia Institute of Technology Publisher: Cambridge University Press https://doi.org/10.1017/CBO9780511622564	book	January 2012
Motion by Mean Curvature from the Ginzburg-Landau $\nabla\phi$ Interface Model Funaki, T.; Spohn, H. Communications in Mathematical Physics, Vol. 185, Issue 1 https://doi.org/10.1007/s002200050080	journal	April 1997
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