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.
Single-particle tracking: applications to membrane dynamics.Annual review of biophysics and biomolecular structure, 26(1):373–399, 1997
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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.