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arXiv 1504.01012cond-mat.mtrl-sciphysics.chem-ph
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分形介质中纳米等离子体激元的电化学表现

Electro-chemical manifestation of nanoplasmonics in fractal media

E. Baskin, A. Iomin

摘要:

在分数阶微积分的框架下研究了具有分形几何的复合材料的电动力学。这种考虑建立了媒体和分数积分微分分形几何之间的联系。研究了电极-电解质分形界面附近的光电导特性。利用分数阶微积分方法,得到了表面等离子体激元激发下分形复合结构内部光学电场巨局域增强的解析表达式。这种方法使得有可能解释实验数据的光电导在纳米电化学。

英文摘要:

Electrodynamics of composite materials with fractal geometry is studied in the framework of fractional calculus. This consideration establishes a link between fractal geometry of the media and fractional integro-differentiation. The photoconductivity in the vicinity of the electrode-electrolyte fractal interface is studied. The methods of fractional calculus are employed to obtain an analytical expression for the giant local enhancement of the optical electric field inside the fractal composite structure at the condition of the surface plasmon excitation. This approach makes it possible to explain experimental data on photoconductivity in the nano-electrochemistry.

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