Escape over a fluctuating barrier: The white noise limit

Escape over a fluctuating barrier: The white noise limit
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DOI:
10.1088/0305-4470/23/5/004
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发表时间:
1990-03
期刊:
Journal of Physics A
影响因子:
--
通讯作者:
D. Stein;C. Doering;R. G. Plamer;J. Hemmen;R. McLaughlin
D. Stein;C. Doering;R. G. Plamer;J. Hemmen;R. McLaughlin
中科院分区:
其他
文献类型:
--
作者:
D. Stein;C. Doering;R. G. Plamer;J. Hemmen;R. McLaughlin

文献摘要

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作者研究了扩散问题的波动障碍的限制,障碍的波动是非常快的问题相比,所有其他的时间尺度。在白色噪声极限下,从亚稳态开始的概率衰减是指数性的,其特征时间尺度表现出Arrhenius行为。对于小的,但有限的相关时间的波动部分的潜在的,有效的势垒增加的相关时间。以上的玻璃化转变液体的影响进行了讨论。
The authors examine the problem of diffusion over a fluctuating barrier in the limit where the barrier fluctuations are extremely fast compared with all other timescales in the problem. In the white noise limit, the decay of probability from the metastable state is exponential with a characteristic timescale exhibiting Arrhenius behaviour. For small but finite correlation times for the fluctuating part of the potential, the effective barrier increases with the correlation time. Implications for liquids above the glass transition are discussed.