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Condensed Matter > Statistical Mechanics

arXiv:2110.03776v1 (cond-mat)
[Submitted on 3 Oct 2021 (this version) , latest version 16 Jan 2023 (v5) ]

Title: Deterministic Active Matter Generated Using Strange Attractors

Title: 使用奇异吸引子生成的确定性活性物质

Authors:Rahil N. Valani, David M. Paganin
Abstract: Strange attractors are induced by governing differential or integro-differential equations associated with non-linear dynamical systems, but they can also drive such dynamics. When the governing equations contain stochastic forcing, they may also be replaced by deterministic chaotic driving via a governing strange attractor. We outline a flexible deterministic means for such chaotic strange-attractor driven dynamics, and illustrate its utility for modeling active matter. Several active-matter phenomena may be modeled in this manner, such as run-and-tumble particles, run-reverse-flick motion, clustering, jamming and flocking.
Abstract: 奇异吸引子由与非线性动力系统相关的控制微分方程或积分-微分方程引起,但它们也可以驱动这种动力学。 当控制方程包含随机强迫时,它们也可能通过控制奇异吸引子被确定性混沌驱动所替代。 我们概述了一种灵活的确定性方法用于这种由奇异吸引子驱动的混沌动力学,并展示了其在建模活性物质中的实用性。 几种活性物质现象可以以这种方式进行建模,例如跑动-翻转粒子、跑动-反转-闪烁运动、聚集、堵塞和 flocking。
Comments: 6 pages, 5 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Chaotic Dynamics (nlin.CD)
Cite as: arXiv:2110.03776 [cond-mat.stat-mech]
  (or arXiv:2110.03776v1 [cond-mat.stat-mech] for this version)
  https://doi.org/10.48550/arXiv.2110.03776
arXiv-issued DOI via DataCite

Submission history

From: Rahil Valani [view email]
[v1] Sun, 3 Oct 2021 08:31:04 UTC (11,651 KB)
[v2] Tue, 15 Mar 2022 02:22:28 UTC (14,483 KB)
[v3] Tue, 5 Jul 2022 01:58:22 UTC (15,540 KB)
[v4] Wed, 21 Dec 2022 01:03:32 UTC (31,564 KB)
[v5] Mon, 16 Jan 2023 05:45:55 UTC (31,557 KB)
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