Fokker-Planck equation on metric graphs
arXiv:2110.11352 · doi:10.1016/j.physa.2022.128279
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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