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首页> 外文期刊>The journal of physical chemistry, A. Molecules, spectroscopy, kinetics, environment, & general theory >Generalized Electrodiffusion Equation with Fractality of Space-Time: Experiment and Theory
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Generalized Electrodiffusion Equation with Fractality of Space-Time: Experiment and Theory

机译：具有空间时间的变形的广义电渗变方程：实验与理论

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Physical and technological principles of formation of clathrate structures for supramolecular electronics are given in this paper. It has been established that supramolecular nature of the "host-guest" conjunction, in general, and hierarchical architecture of the corresponding clathrates, in particular, provide realization of such an extraordinary effect as an optically or a magnetically controlled phenomenon of colossal "negative capacity" with a predicted frequency interval of manifestation, magnitude, and multiplicity. For the first time, the experimental confirmation of the behavior of the electretized fractal clathrate GaSe(beta-CD(FeSO4)) as a dissipative element, which accumulates inductive energy, is demonstrated. A general approach for obtaining the generalized transport equations with fractional derivatives by using the Liouville equation with fractional derivatives for a system of classical particles and the Zubarev nonequilibrium statistical operator method within Renyi statistics is presented. New non-Markovian electrodiffusion equations for ions in a spatially heterogeneous medium with the fractal structure and a generalized Cattaneo-type diffusion equation taking into account the fractality of space-time are obtained. The model of subdiffusion impedance based on the Cattaneo equation with fractional derivatives is applied to multilayer nanostructures. Nyquist diagrams for different valuses of the parameter tau (delay time of a flow relative to a concentration gradient) and the subdiffusion coefficient D-alpha are calculated.
机译：本文给出了对超分子电子器件的克拉静脉结构形成的物理和技术原理。已经确定了“寄主访客”结合的超分子性质，通常，相应的克拉内斯的分层架构，特别是作为光学或巨大的巨大容量的磁控现象实现这种非凡效应的实现“具有预测的表现形式，幅度和多重性的频率间隔。首次，证明了作为耗散电能的耗散元素的抵烧分形包酸盐Gase（β-CD（FeSO 4））的行为的实验证实。通过使用瑞新衍生物具有分数衍生物的分数衍生物获得具有分数衍生物的一般方法，提出了瑞尼统计中的古典颗粒系统的分数衍生物。介绍了瑞尼统计中的Zubarev统计算子方法。获得了具有分形结构的空间异质介质中的离子的新的非马太基型电销方程，以及考虑空间时间的变短率的分形结构和广义的Cattaneo型扩散方程。基于Cattaneo方程具有分数衍生物的副型抗阻抗模型应用于多层纳米结构。计算参数TAU的不同汇流的奈奎斯特图（相对于浓度梯度的流动的延迟时间）和子缺点系数D-alpha进行了计算。

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