Pinning of interfaces in a random medium with zero mean

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2020-02-03 DOI:10.4171/ifb/455

P. Dondl, Martin Jesenko, M. Scheutzow

引用次数: 1

Abstract

We consider a discrete and a continuum model for the propagation of a curvature sensitive interface in a time independent random medium. In both cases we suppose that the medium contains obstacles that act on the propagation of the interface with an inhibitory or an acceleratory force. We show that the interface remains bounded for all times even when a small constant external driving force is applied. This phenomenon has already been known when only inhibitory obstacles are present. In this work we extend this result to the case of, for example, a random medium of random zero mean forcing.

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零均值随机介质中界面的固定

考虑了曲率敏感界面在时间无关随机介质中传播的离散模型和连续模型。在这两种情况下，我们假设介质中含有障碍物，这些障碍物以抑制性或加速性作用于界面的传播。我们证明，即使施加一个小的恒定外部驱动力，界面也始终保持有界。当只有抑制障碍存在时，这种现象已经为人所知。在这项工作中，我们将这个结果推广到，例如，随机零平均强迫的随机介质的情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.