Mathematical Physics


Non-Power-Function Metric: a Generalized Fractal

Authors: Wen Chen

This short note proposes a general time-space metric by an extension of the power-function based fractal concept to the structural-function fabric. The structural function can be an arbitrary-function to describe complex metric underlying physical systems. We call such a metric Structal, and the fractal is its special case. This work is inspired by our recent work on the structural derivative, in which the structural function takes into account the significant influence of time-space fabric of a complex system on its physical behaviors, in particular, the ultra-slow diffusion. Based on the structal concept, this communication suggests the structural time-space transformation and introduces the general diffusion model. In addition, the statistics implication of the structal and the structural derivative model is also briefly discussed.

Comments: 6 Pages.

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Submission history

[v1] 2016-12-31 06:11:07

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