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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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Reproducció del document proporcionada per AIP i http://dx.doi.org/10.1063/1.526639

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Journal of Mathematical Physics, 1985, vol. 26, p. 522

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Articles publicats en revistes (Física de la Matèria Condensada)

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Exact temporal evolution for some non-linear diffusion process