Non-Markovian diffusion over a parabolic potential barrier: influence of the friction-memory function

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dc.creatorYilmaz, B.
dc.creatorAyik, S.
dc.creatorAbe, Y.
dc.creatorBoilley, D.
dc.date2008-01-22
dc.date.accessioned2026-07-07T08:55:49Z
dc.date.available2026-07-07T08:55:49Z
dc.descriptionThe over-passing probability across an inverted parabolic potential barrier is investigated according to the classical and quantal generalized Langevin equations. It is shown that, in the classical case, the asymptotic value of the over-passing probability is determined by a single dominant root of the "characteristic function", and it is given by a simple expression. The expression for the over-passing probability is quite general, and details of dissipation mechanism and memory effects enter into the expression only through the dominant root of the characteristic equation.
dc.description20 pages, 12 figures, accepted to PRE
dc.identifierhttps://arxiv.org/abs/0801.3366
dc.identifierhttp://arxiv.org/abs/0801.3366
dc.identifierPhys. Rev. E 77, 011121 (2008).
dc.identifierdoi:10.1103/PhysRevE.77.011121
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146400
dc.subjectStatistical Mechanics
dc.subjectOther Condensed Matter
dc.titleNon-Markovian diffusion over a parabolic potential barrier: influence of the friction-memory function
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