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.
Density fluc- tuations in weakly interacting particle systems via the Dean-Kawasaki equation.arXiv preprint arXiv:2303.00429, 2023
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Conserved multiplicative noise in Dean-Kawasaki-type equations enhances front propagation speed, accelerates pattern onset, and reduces hysteresis compared to deterministic models in systems with density-dependent diffusivity, nonlocal interactions, and repulsive forces.
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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.
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Impact of fluctuations on particle systems described by Dean-Kawasaki-type equations
Conserved multiplicative noise in Dean-Kawasaki-type equations enhances front propagation speed, accelerates pattern onset, and reduces hysteresis compared to deterministic models in systems with density-dependent diffusivity, nonlocal interactions, and repulsive forces.