Derives the surface Dean-Kawasaki equation from Langevin dynamics on hypersurfaces in Monge gauge, including extensions to evolving surfaces and a fluctuation-preserving finite-volume scheme.
Diffusing proteins on a fluctuating membrane: Analytical theory and simulations.Physical Review E—Statistical, Nonlinear, and Soft Matter Physics, 81(3):031903, 2010
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Surface Dean--Kawasaki equations
Derives the surface Dean-Kawasaki equation from Langevin dynamics on hypersurfaces in Monge gauge, including extensions to evolving surfaces and a fluctuation-preserving finite-volume scheme.