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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/24551

Exact temporal evolution for some non-linear diffusion process

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Exact solutions to FokkerPlanck equations with nonlinear drift are considered. Applications of these exact solutions for concrete models are studied. We arrive at the conclusion that for certain drifts we obtain divergent moments (and infinite relaxation time) if the diffusion process can be extended without any obstacle to the whole space. But if we introduce a potential barrier that limits the diffusion process, moments converge with a finite relaxation time.

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GARRIDO, L. (Luis) and MASOLIVER, Jaume. Exact temporal evolution for some non-linear diffusion process. Journal of Mathematical Physics. 1985. Vol. 26, num. 522. ISSN 0022-2488. [consulted: 16 of October of 2026]. Available at: https://hdl.handle.net/2445/24551

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