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Journal Articles Journal of Statistical Physics Year : 2006

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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Dates and versions

in2p3-00086033 , version 1 (17-07-2006)

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