电动力学中的分数幂律空间色散
Fractional Power-Law Spatial Dispersion in Electrodynamics
摘要：
讨论了具有幂律空间色散的非局域介质中的电场。研究了包含分数拉普拉斯算子的Riesz形式的描述非局域介质中电场的方程。对幂律非局域介质的库仑定律和德拜屏蔽进行了推广。我们考虑具有幂律空间色散的类等离子体介质的反常行为的简单模型。这些等离子体类介质的分数阶微分模型的建议进行了讨论，以描述幂律型的非局部特性。
英文摘要：
Electric fields in non-local media with power-law spatial dispersion are discussed. Equations involving a fractional Laplacian in the Riesz form that describe the electric fields in such non-local media are studied. The generalizations of Coulomb's law and Debye's screening for power-law non-local media are characterized. We consider simple models with anomalous behavior of plasma-like media with power-law spatial dispersions. The suggested fractional differential models for these plasma-like media are discussed to describe non-local properties of power-law type.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
