分形上的线性输运现象分析

Massimiliano Giona , William A. Schwalm , Alessandra Adrover , Mizuho K. Schwalm
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引用次数: 10

摘要

本文将输入/输出(I/O)重整化应用于分形上的线性输运现象。我们主要关注一阶反应动力学,吸附动力学和有限分支结构中积分量的重整化。此外,还注意到如何将该理论扩展到无限分形和非线性模型的研究以及无限输入点的情况。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Analysis of linear transport phenomena on fractals

In this article we apply input/output (I/O) renormalization to linear transport phenomena on fractals. We focus mainly on first-order reaction kinetics, on sorption dynamics and on renormalization of integral quantities in the case of finitely ramified structure. Moreover, care is taken to show how the theory can be extended to thes tudy of infinitely ramified fractals and non-linear model and to the case of an unbounded number of input sites.

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