Fokker–Planck equation on metric graphs

J. Matrasulov and K. Sabirov

Physica A: Statistical Mechanics and its Applications, 2022, vol. 608, issue P2

Abstract: We consider the Fokker–Planck equation on metric graphs. Vertex boundary conditions are imposed in the form of weight continuity and the probability current conservation. Exact solution of the Fokker–Planck equation on star, tree and loop graphs is obtained. Applications of the model to Brownian motion in networks and other problems are briefly discussed.

Keywords: Fokker–Planck equation; Graphs; Networks (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:608:y:2022:i:p2:s0378437122008378

DOI: 10.1016/j.physa.2022.128279

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