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arXiv · 2110.11352

Fokker-Planck equation on metric graphs

Jasur Matrasulov·Karimjon Sabirov
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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 is obtained for star, tree and loop graphs. Applications of the model to Brownian motion in networks and other problems are briefly discussed.

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Jasur Matrasulov, Karimjon Sabirov. 2021-10-21. Fokker-Planck equation on metric graphs. https://doi.org/10.1016/j.physa.2022.128279

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