Fokker-Planck equation on metric graphs

Matrasulov, Jasur; Sabirov, K.K.

doi:10.48550/arxiv.2110.11352

2021

DOI: 10.48550/arxiv.2110.11352

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Fokker-Planck equation on metric graphs

Jasur Matrasulov¹,

K.K. Sabirov²

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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Fokker-Planck equation on metric graphs

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References 22 publications

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