Non-Markovian Diffusion Over a Saddle with a Generalized Langevin Equation

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作者
David Boilley
Yoann Lallouet
机构
[1] GANIL,
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{Langevin equation; memory effect; stochastic diffusion;
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摘要
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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页码:473 / 489
页数:16
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