Hidden Geometry of Bidirectional Grid-Constrained Stochastic Processes

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-03-23 DOI:10.1155/2021/9944543

A. Taranto, Shahjahan Khan

引用次数: 1

Abstract

Bidirectional Grid Constrained (BGC) stochastic processes (BGCSPs) are constrained Ito diffusions with the property that the further they drift away from the origin, the more the resistance to movement in that direction they undergo. The underlying characteristics of the BGC parameter are investigated by examining its geometric properties. The most appropriate convex form for , that is, the parabolic cylinder is identified after extensive simulation of various possible forms. The formula for the resulting hidden reflective barrier(s) is determined by comparing it with the simpler Ornstein–Uhlenbeck process (OUP). Applications of BGCSP arise when a series of semipermeable barriers are present, such as regulating interest rates and chemical reactions under concentration gradients, which gives rise to two hidden reflective barriers.

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双向网格约束随机过程的隐藏几何

双向网格约束（BGC）随机过程（BGCSP）是受约束的Ito扩散，其特性是它们离原点越远，在该方向上运动的阻力就越大。通过检查BGC参数的几何特性来研究其潜在特征。在对各种可能的形式进行广泛模拟后，确定了抛物柱面最合适的凸形式。通过将其与更简单的Ornstein–Uhlenbeck过程（OUP）进行比较，确定了所得隐藏反射势垒的公式。当存在一系列半渗透屏障时，BGCSP的应用就会出现，例如在浓度梯度下调节利率和化学反应，这会产生两个隐藏的反射屏障。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.