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A Finite Element Method for Stochastic Diffusion Equations Using Fluctuating Hydrodynamics

https://doi.org/10.2139/ssrn.4657645
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Coarse-graining Brownian motion: From particles to a discrete diffusion equation
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Stochastic thermodynamics of fluctuating density fields: Non-equilibrium free energy differences under coarse-graining
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Dynamic density functional theory with hydrodynamic interactions and fluctuations
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Finite element discretization of non-linear diffusion equations with thermal fluctuations
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Fluctuating hydrodynamics of multi-species reactive mixtures
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Simulating Brownian suspensions with fluctuating hydrodynamics
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Fluctuation-enhanced electric conductivity in electrolyte solutions
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Thermal capillary waves on bounded nanoscale thin films
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Temporal integrators for fluctuating hydrodynamics
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Dynamic implicit-solvent coarse-grained models of lipid bilayer membranes: Fluctuating hydrodynamics thermostat
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Modeling multiphase flow using fluctuating hydrodynamics
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Low Mach number fluctuating hydrodynamics for electrolytes
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Thermally activated vapor bubble nucleation: The Landau-Lifshitz–Van der Waals approach
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Diffusive Transport by Thermal Velocity Fluctuations
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Nanotribology of Ionic Liquids: Transition to Yielding Response in Nanometric Confinement with Metallic Surfaces
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Staggered Schemes for Fluctuating Hydrodynamics
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Linking Stochastic Fluctuations in Chromatin Structure and Gene Expression
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