Domain Growth in the Active Model B: Critical and Off-critical Composition

IF 1.6 4区材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY

Soft Materials Pub Date : 2021-05-27 DOI:10.1080/1539445X.2021.1937223

Sudipta Pattanayak, Shradha Mishra, S. Puri

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引用次数: 2

Abstract

ABSTRACT We study the ordering kinetics of an assembly of active Brownian particles (ABPs) on a two-dimensional substrate. We use a coarse-grained equation for the composition order parameter ,where and denote space and time, respectively. The model is similar to the Cahn-Hilliard equation orModel B (MB) for a conserved order parameter with an additional activity term of strength . This model has been introduced by Wittkowski et al., Nature Comm. 5, 4351 (2014), and is termed Active Model B (AMB). We study domain growth kinetics and dynamical scaling of the correlation function for the AMB with critical and off-critical compositions. The quantity governs the asymptotic growth kinetics for the off-critical AMB, where denotes the average order parameter. For negative ,the domain growth law is the usual Lifshitz-Slyozov growth law with . For positive ,the growth law shows a crossover to a novel growth law . Further, the correlation function shows good dynamical scaling for the off-critical AMB but the scaling function has a dependency on and . We also study the effects of both additive and multiplicative noise on the AMB.

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主动模型B中的域增长：临界和非临界组合

摘要研究了二维基底上活性布朗粒子(ABPs)的有序动力学。我们使用粗粒度方程来表示组合顺序参数，其中和分别表示空间和时间。该模型与Cahn-Hilliard方程或模型B (MB)相似，该模型具有一个守恒的阶参数和一个额外的强度活动项。该模型由Wittkowski等人在Nature Comm. 5,4351(2014)中提出，并被称为Active model B (AMB)。我们研究了具有临界和非临界成分的AMB的畴生长动力学和相关函数的动态标度。数量决定了非临界AMB的渐近生长动力学，其中表示平均序参量。当为负时，域生长律为通常的Lifshitz-Slyozov生长律。对于正的情况，增长律显示出与新增长律的交叉。此外，相关函数对非临界AMB表现出良好的动态标度，但标度函数依赖于和。我们还研究了加性和乘性噪声对AMB的影响。

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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来源期刊

Soft Materials 工程技术-材料科学：综合

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

2.2 months

期刊介绍： Providing a common forum for all soft matter scientists, Soft Materials covers theory, simulation, and experimental research in this rapidly expanding and interdisciplinary field. As soft materials are often at the heart of modern technologies, soft matter science has implications and applications in many areas ranging from biology to engineering. Unlike many journals which focus primarily on individual classes of materials or particular applications, Soft Materials draw on all physical, chemical, materials science, and biological aspects of soft matter. Featured topics include polymers, biomacromolecules, colloids, membranes, Langmuir-Blodgett films, liquid crystals, granular matter, soft interfaces, complex fluids, surfactants, gels, nanomaterials, self-organization, supramolecular science, molecular recognition, soft glasses, amphiphiles, foams, and active matter. Truly international in scope, Soft Materials contains original research, invited reviews, in-depth technical tutorials, and book reviews.