Modeling transport through an environment crowded by a mixture of obstacles of different shapes and sizes

DOI10.1016/J.PHYSA.2015.12.123zbMath1400.60126OpenAlexW2224421930WikidataQ125257884 ScholiaQ125257884MaRDI QIDQ1619246

Scott W. McCue, Ruth E. Baker, Adam J. Ellery, Matthew J. Simpson

Publication date: 13 November 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:bd18b0a8-623c-473d-a83f-33a5e22fb1e6

zbMATH Keywords

diffusionrandom walkfractional diffusion equationcrowded transporthindered transport

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Cell movement (chemotaxis, etc.) (92C17)

Related Items (5)

Spatial moment description of birth-death-movement processes incorporating the effects of crowding and obstacles ⋮ Diffusion in an array of immobile anisotropic obstacles: the influence of local orientation, bottlenecks, and free volume in absence of dead-ends ⋮ Linear Boltzmann dynamics in a strip with large reflective obstacles: stationary state and residence time ⋮ Anomalous diffusion with an irreversible linear reaction and sorption-desorption process ⋮ Probabilistic properties of near-optimal trajectories of an agent moving over a lattice

Cites Work

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• Fractional dynamics at multiple times
• Stochastic solution of space-time fractional diffusion equations
• Inverse Stable Subordinators
• An Introduction to Diophantine Equations
• A method for the solution of certain non-linear problems in least squares

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