BML交通堵塞中的周期状态、局部效应和共存 模型

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摘要翻译：
Biham-Middleton-Levine模型(BML)是一种简单的交通流格模型，具有自组织特性和干扰特性。最近的研究表明，在自由流动和堵塞之间并不存在剧烈的相变，而是存在一个稳定的中间态区域，其细节依赖于底层晶格的长宽比。本文研究了正方形长宽比，重点研究了随机无序中间态(DI)和常规全局干扰态(GJ)共存的区域，并表明DI态在某些密度和时间尺度上占主导地位。此外，我们还证明了周期中间态也可以共存。PI态收敛于周期极限环，且递归时间较短，以前推测PI态是由相对素数长宽比的特性引起的。观测到的DI、PI和GJ态的共存表明，密度和长宽比这一全局参数不足以决定完全干扰的结果。我们研究了导致干扰的其他特征，并表明对几个选定比特的策略扰动可以改变流的性质，从而形成全局干扰。
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英文标题：
《Periodic States, Local Effects and Coexistence in the BML Traffic Jam
  Model》
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作者：
Nicholas J. Linesch and Raissa M. D'Souza
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最新提交年份：
2008
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  The Biham-Middleton-Levine model (BML) is simple lattice model of traffic flow, self-organization and jamming. Rather than a sharp phase transition between free-flow and jammed, it was recently shown that there is a region where stable intermediate states exist, with details dependent on the aspect ratio of the underlying lattice. Here we investigate square aspect ratios, focusing on the region where random, disordered intermediate (DI) states and conventional global jam (GJ) states coexist, and show that DI states dominate for some densities and timescales. Moreover, we show that periodic intermediate (PI) states can also coexist. PI states converge to periodic limit cycles with short recurrence times and were previously conjectured to arise from idiosyncrasies of relatively prime aspect ratios. The observed coexistence of DI, PI and GJ states shows that global parameters, density together with aspect ratio, are not sufficient to determine the full jamming outcome. We investigate additional features that lead towards jamming and show that a strategic perturbation of a few selected bits can change the nature of the flow, nucleating a global jam.
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PDF链接：
https://arxiv.org/pdf/709.3604

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关键词：intermediate Organization Conventional Perturbation intermediat 递归 Levine 具有 状态 lattice