From ergodic to non-ergodic chaos in Rosenzweig–Porter model
From ergodic to non-ergodic chaos in Rosenzweig–Porter model
复制标题
Rosenzweig-Porter 模型中从遍历混沌到非遍历混沌
DOI：
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
P. Serna
中科院分区：
文献类型：
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作者：
M. Pino;Jorge Tabanera;P. Serna
Rosenzweig-Porter模型是由三个阶段组成的单参数随机矩阵族：遍历、扩展非遍历和定域。我们用数字来描述每一个阶段以及它们之间的转变。我们关注几个表现出非分析行为的量，并表明它们服从标度假设。在此基础上，我们认为非遍历混沌和遍历制度是由一个连续的相变分开的，类似于非遍历混沌和局部相之间的过渡。
The Rosenzweig–Porter model is a one-parameter family of random matrices with three different phases: ergodic, extended non-ergodic and localized. We characterize numerically each of these phases and the transitions between them. We focus on several quantities that exhibit non-analytical behaviour and show that they obey the scaling hypothesis. Based on this, we argue that non-ergodic chaotic and ergodic regimes are separated by a continuous phase transition, similarly to the transition between non-ergodic chaotic and localized phases.
RosenzweigâPorter 模型中的非遍历离域
影响因子：
1.2
作者：
P. von Soosten;S. Warzel
通讯作者：
S. Warzel