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arXiv 1112.0189cond-mat.stat-mech
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在扩展的控制参数范围内的开关磁阻

On-off intermittency over an extended range of control parameter

Eric Bertin

摘要:

我们提出了一个简单的唯象模型,在扩展的控制参数范围内表现出开-关不稳定性。我们发现,“关”周期的分布具有幂律尾部,其指数在-1和-2之间连续变化,与在控制参数的特定值处发生的标准开-关不稳定性不一致,并且导致指数-3/2。这种非平凡的行为是由于在可观察的小值处动力学的强烈减慢与向大值的系统漂移之间的竞争。

英文摘要:

We propose a simple phenomenological model exhibiting on-off intermittency over an extended range of control parameter. We find that the distribution of the 'off' periods has as a power-law tail with an exponent varying continuously between -1 and -2, at odds with standard on-off intermittency which occurs at a specific value of the control parameter, and leads to the exponent -3/2. This non-trivial behavior results from the competition between a strong slowing down of the dynamics at small values of the observable, and a systematic drift toward large values.

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