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Deterministic Diffusion
Ukrainian Mathematical Journal ( IF 0.5 ) Pub Date : 2020-04-01 , DOI: 10.1007/s11253-020-01747-4
L. P. Nizhnik , I. L. Nizhnik

We present a series of definitions and properties of lifting dynamical systems (LDS) corresponding to the notion of deterministic diffusion. We give heuristic explanations of the mechanisms of formation of deterministic diffusion in LDS and the anomalous deterministic diffusion in the case of transportation in long billiard channels with spatially periodic structures and nonideal reflection law. The expressions for the coefficient of deterministic diffusion are obtained.

中文翻译:

确定性扩散

我们提出了与确定性扩散概念相对应的提升动力系统 (LDS) 的一系列定义和属性。我们对LDS中确定性扩散的形成机制以及在具有空间周期结构和非理想反射规律的长台球通道中运输时的异常确定性扩散的机制进行了启发式解释。得到确定性扩散系数的表达式。
更新日期:2020-04-01
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