Abstract
In this paper we discuss mesoscopic models describing a broad class of pattern formation mechanisms, focusing on a prototypical system of surface processes. These models are in principle stochastic integrodifferential equations and are derived through an exact coarse-graining, directly from microscopic lattice models, and include detailed microscopic information on particle-particle interactions and particle dynamics.
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The research of MAK is partially supported by NSF DMS-9626804, NSF DMS-9801769 and NSF DMS-0079536, and the research of DGV is partially supported by the NSF CTS-9702615, NSF CTS-9904242 and NETI.
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Katsoulakis, M.A., Vlachos, D.G. (2004). Mesoscopic Modeling of Surface Processes. In: Abdallah, N.B., et al. Dispersive Transport Equations and Multiscale Models. The IMA Volumes in Mathematics and its Applications, vol 136. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8935-2_12
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DOI: https://doi.org/10.1007/978-1-4419-8935-2_12
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