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Non-Markovian diffusion over a saddle with a Generalized Langevin equation

Abstract : The diffusion over a simple parabolic barrier is exactly solved with a non-Markovian Generalized Langevin Equation. For a short relaxation time, the problem is shown to be similar to a Markovian one, with a smaller effective friction. But for longer relaxation time, the average trajectory starts to oscillate and the system can have a very fast first passage over the barrier. For very long relaxation times, the solution tends to a zero-friction limit
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Submitted on : Monday, July 17, 2006 - 4:01:40 PM
Last modification on : Tuesday, May 10, 2022 - 3:44:47 PM
Long-term archiving on: : Monday, April 5, 2010 - 9:54:30 PM

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D. Boilley, y. Lallouet. Non-Markovian diffusion over a saddle with a Generalized Langevin equation. Journal of Statistical Physics, Springer Verlag, 2006, 125, pp.477-493. ⟨10.1007/s10955-006-9197-5⟩. ⟨in2p3-00086033⟩

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