切换过程的动力学:间歇性主动运动的一般结果和应用。

IF 2.9 3区 化学 Q3 CHEMISTRY, PHYSICAL
Soft Matter Pub Date : 2024-11-06 DOI:10.1039/D4SM01054J
Ion Santra, Kristian Stølevik Olsen and Deepak Gupta
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引用次数: 0

摘要

系统在不同动态阶段之间切换是一种普遍现象。人们对这一过程的一般理解还很有限。为此,我们提出了一种捕捉系统波动的一般表达式,该表达式展示了一种切换机制。具体来说,我们获得了粒子位置的拉普拉斯变换特征函数的精确表达式。然后,利用该特征函数计算出系统间歇动态的有效扩散系数。此外,我们还采用了两个例子:(1) 一般化的奔跑翻滚主动粒子,以及 (2) 在一般化的主动奔跑翻滚运动和被动布朗运动之间切换动力学的主动粒子。在每种情况下,我们都给出了空间累积量的明确计算结果。我们的研究结果表明,由于间歇性活动,粒子的位置概率密度函数表现出丰富的行为。数值模拟证实了我们的发现。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Dynamics of switching processes: general results and applications in intermittent active motion

Dynamics of switching processes: general results and applications in intermittent active motion

Systems switching between different dynamical phases is a ubiquitous phenomenon. The general understanding of such a process is limited. To this end, we present a general expression that captures fluctuations of a system exhibiting a switching mechanism. Specifically, we obtain an exact expression of the Laplace-transformed characteristic function of the particle's position. Then, the characteristic function is used to compute the effective diffusion coefficient of a system performing intermittent dynamics. Furthermore, we employ two examples: (1) generalized run-and-tumble active particle, and (2) an active particle switching its dynamics between generalized active run-and-tumble motion and passive Brownian motion. In each case, explicit computations of the spatial cumulants are presented. Our findings reveal that the particle's position probability density function exhibit rich behaviours due to intermittent activity. Numerical simulations confirm our findings.

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来源期刊
Soft Matter
Soft Matter 工程技术-材料科学:综合
CiteScore
6.00
自引率
5.90%
发文量
891
审稿时长
1.9 months
期刊介绍: Soft Matter is an international journal published by the Royal Society of Chemistry using Engineering-Materials Science: A Synthesis as its research focus. It publishes original research articles, review articles, and synthesis articles related to this field, reporting the latest discoveries in the relevant theoretical, practical, and applied disciplines in a timely manner, and aims to promote the rapid exchange of scientific information in this subject area. The journal is an open access journal. The journal is an open access journal and has not been placed on the alert list in the last three years.
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