摘要翻译：
本文研究了在具有$1/ω{1-alpha}$功率谱的分数高斯热噪声驱动下，过阻尼粒子从尖峰形抛物线势阱中的亚扩散逃逸。利用广义朗之万动力学，通过其相应的非马尔可夫、无时间卷积的主方程，这个长期存在的挑战在数学上变得容易处理：我们发现逃逸是由幂律渐近控制的，幂律的指数依赖于势垒高度和温度的比值。这一结果与相应的次扩散分数福克-普朗克方法的描述形成了鲜明的对比；从而为实验者提供了一个区分这两种逃逸情景的实验平台。
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英文标题：
《Anomalous escape governed by thermal 1/f noise》
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作者：
I. Goychuk and P. Hanggi
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics        物理学
二级分类：Soft Condensed Matter        软凝聚态物质
分类描述：Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜，聚合物，液晶，玻璃，胶体，颗粒物质
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英文摘要：
  We present an analytic study for subdiffusive escape of overdamped particles out of a cusp-shaped parabolic potential well which are driven by thermal, fractional Gaussian noise with a $1/\omega^{1-\alpha}$ power spectrum. This long-standing challenge becomes mathematically tractable by use of a generalized Langevin dynamics via its corresponding non-Markovian, time-convolutionless master equation: We find that the escape is governed asymptotically by a power law whose exponent depends exponentially on the ratio of barrier height and temperature. This result is in distinct contrast to a description with a corresponding subdiffusive fractional Fokker-Planck approach; thus providing experimentalists an amenable testbed to differentiate between the two escape scenarios.
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PDF链接：
https://arxiv.org/pdf/705.3718