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Fokker-Planck equation on metric graphs

Statistical Mechanics 2022-12-15 v2
Authors: 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.

Keywords

random graph theory boundary value problems

Cite

@article{arxiv.2110.11352,
  title  = {Fokker-Planck equation on metric graphs},
  author = {Jasur Matrasulov and Karimjon Sabirov},
  journal= {arXiv preprint arXiv:2110.11352},
  year   = {2022}
}

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