玩具脱屑模型的结果与猜想

arXiv: Mathematical Physics Pub Date : 2020-05-20 DOI:10.17323/1609-4514-2020-20-4-695-709

B. Derrida, Zhan Shi

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引用次数: 7

摘要

我们回顾了德里达和雷托在2014年提出的存在障碍的脱皮问题的简化版本的最新结果和猜想。对于这个玩具模型，蜕皮转变被预测为Berezinskii- Kosterlitz- Thouless型。本文讨论了在哪些可积条件下可以证明该预测，以及如何对其进行修正。

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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Results and Conjectures on a Toy Model of Depinning

We review recent results and conjectures for a simplified version of the depinning problem in presence of disorder which was introduced by Derrida and Retaux in 2014. For this toy model, the depinning transition has been predicted to be of the Berezinskii--Kosterlitz--Thouless type. Here we discuss under which integrability conditions this prediction can be proved and how it is modified otherwise.

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arXiv: Mathematical Physics

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