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Capturing non-Markovian dynamics in non-equilibrium stochastic systems using flow matching

arXiv:2606.06658v1 Announce Type: cross Abstract: Hydrodynamic models of stochastic particle systems represented by coarse-grained stochastic partial differential equations (SPDE), such as the regularized Dean-Kawasaki (DK) equation, do not accurately capture the short-time system dynamics that is dominated by non-Markovian effects, and low particle density regimes where the distributions are highly non-Gaussian. We develop a generative flow matching method that directly models the...

arXiv Physics 2d ago

Capturing non-Markovian dynamics in non-equilibrium stochastic systems using flow matching

arXiv:2606.06658v1 Announce Type: new Abstract: Hydrodynamic models of stochastic particle systems represented by coarse-grained stochastic partial differential equations (SPDE), such as the regularized Dean-Kawasaki (DK) equation, do not accurately capture the short-time system dynamics that is dominated by non-Markovian effects, and low particle density regimes where the distributions are highly non-Gaussian. We develop a generative flow matching method that directly models the probability...

arXiv CS 2d ago

Exponential Time Differencing Schemes for a Phase-Field Model of Multicomponent Membranes

arXiv:2606.04347v1 Announce Type: new Abstract: In this paper, we develop and analyze exponential time differencing (ETD) schemes for a phase-field model of multicomponent membranes proposed in our previous work \cite{luo2025ohta}, in which membrane deformation is governed by a force-balance phase-field equation and protein segregation is described by a membrane-associated Ohta-Kawasaki (OK) dynamics. For a fixed phase-field membrane, we introduce a geometry-adapted operator splitting method...

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<strong>How the Invention of Rope Gave us Modern Civilization</strong>

Ropes tying pillars of the central beam inside a minka house, restored and relocated by an architect Takumi Osawa, in Kawasaki, Kanagawa Prefecture, Japan, on Saturday, Oct. 29, 2022. Known in Japan as minka, these locally crafted structures with characteristic pitched roofs were built for hundreds of years to accommodate farmers, artisans and merchants. Photographer: Noriko Hayashi/Bloomberg

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