具有淬火二分态的被驱动系统的解析可解模型 紊乱

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摘要翻译：
我们对放置在一维分段线性随机势中的过阻尼粒子的驱动动力学进行了时间相关的研究。这种空间猝灭无序的设置然后对粒子施加一种二分变化的随机力。我们导出了粒子位置的概率密度函数的路径积分表示，并将这个感兴趣的量转化为傅立叶积分的形式。这样，概率密度的演化可以在有限时间内进行解析研究。证明了概率密度既包含一个δ-奇异贡献，又包含一个正则部分。前者在短时间内起主导作用，而后者在大的演化时间内支配着行为。详细说明了随着时间趋于无穷大，概率密度缓慢地接近极限高斯形式。
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英文标题：
《Analytically solvable model of a driven system with quenched dichotomous
  disorder》
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作者：
S. I. Denisov (1 and 2), M. Kostur (1), E. S. Denisova (2), and P.
  H\"anggi (1 and 3) ((1) Universit\"at Augsburg, Germany, (2) Sumy State
  University, Ukraine, (3) National University of Singapore, Republic of
  Singapore)
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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：Disordered Systems and Neural Networks        无序系统与神经网络
分类描述：Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜；随机、非周期和准周期系统的性质；无序介质中的传输；本地化；由缺陷和无序介导的现象；神经网络
--

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英文摘要：
  We perform a time-dependent study of the driven dynamics of overdamped particles which are placed in a one-dimensional, piecewise linear random potential. This set-up of spatially quenched disorder then exerts a dichotomous varying random force on the particles. We derive the path integral representation of the resulting probability density function for the position of the particles and transform this quantity of interest into the form of a Fourier integral. In doing so, the evolution of the probability density can be investigated analytically for finite times. It is demonstrated that the probability density contains both a $\delta$-singular contribution and a regular part. While the former part plays a dominant role at short times, the latter rules the behavior at large evolution times. The slow approach of the probability density to a limiting Gaussian form as time tends to infinity is elucidated in detail.
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PDF链接：
https://arxiv.org/pdf/704.3692

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关键词：Presentation Contribution localization Probability Dichotomous 放置 包含 动力学 线性 研究