Abstract
The generalized Cahn-Hilliard equation is obtained as the hydrodynamic limit from a stochastic Ginzburg-Landau model. The associated large-deviation principle is also proved. In the one-dimensional case, we prove a related result about the scaling limit of conservative Langevin dynamics of an SOS surface.
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Bertini, L., Landim, C. & Olla, S. Derivation of Cahn-Hilliard equations from Ginzburg-Landau models. J Stat Phys 88, 365–381 (1997). https://doi.org/10.1007/BF02508476
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DOI: https://doi.org/10.1007/BF02508476