Fick and Fokker-Planck diffusion law in inhomogeneous media

DOI10.1007/s10955-018-2187-6zbMath1412.35332arXiv1807.05167OpenAlexW3102428456MaRDI QIDQ1730986

Matteo Colangeli, Emilio Nicola Maria Cirillo, Daniele Andreucci, Davide Gabrielli

Publication date: 6 March 2019

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.05167

zbMATH Keywords

diffusionhydrodynamic limitFick's lawFokker-Planck diffusion law

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fokker-Planck equations (35Q84)

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Cites Work

• A model for enhanced and selective transport through biological membranes with alternating pores
• Fick's law and Fokker-Planck equation in inhomogeneous environments
• Stochastic methods. A handbook for the natural and social sciences
• Mathematical methods for hydrodynamic limits
• Macroscopic fluctuation theory for stationary nonequilibrium states
• Residence time estimates for asymmetric simple exclusion dynamics on strips
• Particle models with self sustained current
• Microscopic models for uphill diffusion
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