Simplified calculation of diffusivity for a lattice-based random walk with a single obstacle | Zendy

Matthew J. Simpson | Zendy; Michael J. Plank | Zendy

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Simplified calculation of diffusivity for a lattice-based random walk with a single obstacle

Author(s) -

Matthew J. Simpson,

Michael J. Plank

Publication year - 2017

Publication title -

results in physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.743

H-Index - 56

ISSN - 2211-3797

DOI - 10.1016/j.rinp.2017.08.063

Subject(s) - obstacle , thermal diffusivity , random walk , statistical physics , lattice (music) , fick's laws of diffusion , tracer , physics , heterogeneous random walk in one dimension , diffusion , classical mechanics , mechanics , mathematics , statistics , thermodynamics , quantum mechanics , acoustics , political science , law

\ud\udMotion of cells in living tissues is hindered by obstacles, which may be stationary or may also move. We present a simplified method to calculate the exact Fickian diffusivity for a tracer particle in a random walk with one obstacle.\ud\udKeywords\ud\ud Random walk; Obstacles; Diffusivity; Mean squared displacemen

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