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Diffusion in a class of double-well potentials - exact results

Exact solutions of the Fokker-Planck equation are obtained for a class of non-harmonic, symmetric, attractive, 1-d potentials, and when the initial probability density is chosen "delta" peaked on the axis of symmetry of the potential. Double-well potentials are contained as special cases in our class of models. The branching time tc characterizing the transition from uni- to bimodal probability densities is obtained in limiting cases. © 1982.

    Note:

    Department of Theoretical Physics, Université de Genève, Geneva, Switzerland

    Export Date: 6 December 2012

    Source: Scopus

    CODEN: PYLAA

    Language of Original Document: English

    Correspondence Address: Hongler, M.-O.; Department of Theoretical Physics, Université de Genève, Geneva, Switzerland

    Reference

    Record created on 2013-01-07, modified on 2016-08-09

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