In this paper we introduce and study three classes of fractional periodic processes. An application to ring polymers is investigated. We obtain a closed analytic expressions for the form factors, the Debye functions and their asymptotic decay. The relation between the end-to-halftime and radius of gyration is computed for these classes of periodic processes.

中文翻译：

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分数周期过程：聚合物形状因子的特性和应用

在本文中，我们介绍并研究了三类分数周期过程。研究了环状聚合物的应用。我们获得了形状因子、德拜函数及其渐近衰减的封闭解析表达式。对于这些类型的周期性过程，计算了半场结束时间和回转半径之间的关系。