Nematodynamics with odd and rotational viscosities

IF 1.8 4区 物理与天体物理 Q4 CHEMISTRY, PHYSICAL The European Physical Journal E Pub Date : 2024-07-27 DOI:10.1140/epje/s10189-024-00441-8
L. M. Pismen
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Abstract

We explore a novel mechanism of interactions between nematic order and flow including odd and rotational viscosities, and investigate activity-induced instabilities in the framework of this model. We show how these modes of viscous dissipation can be incorporated in the Ericksen–Leslie formalism, but it does not eliminate deficiencies of the approach based on Onsager’s reciprocal relations that lead to spurious instabilities. The suggested way of deriving nematodynamic equations, based on a specific mechanism applicable to rigid rods, is not universal, but it avoids referring to Onsager’s relations and avoids spurious instabilities in the absence of an active inputs. The model is further applied to the analysis of instabilities in active media

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具有奇数粘度和旋转粘度的线动力学
我们探索了包括奇数粘度和旋转粘度在内的向列秩序与流动之间的新型相互作用机制,并在此模型框架内研究了活动诱发的不稳定性。我们展示了如何将这些粘性耗散模式纳入埃里克森-莱斯利形式主义,但这并不能消除基于昂萨格互易关系的方法的缺陷,因为这种方法会导致虚假的不稳定性。根据适用于刚性杆的特定机制提出的线动力方程推导方法并不通用,但它避免了引用昂萨格关系,并避免了在没有主动输入的情况下出现虚假不稳定性。该模型进一步应用于活动介质的不稳定性分析
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来源期刊
The European Physical Journal E
The European Physical Journal E CHEMISTRY, PHYSICAL-MATERIALS SCIENCE, MULTIDISCIPLINARY
CiteScore
2.60
自引率
5.60%
发文量
92
审稿时长
3 months
期刊介绍: EPJ E publishes papers describing advances in the understanding of physical aspects of Soft, Liquid and Living Systems. Soft matter is a generic term for a large group of condensed, often heterogeneous systems -- often also called complex fluids -- that display a large response to weak external perturbations and that possess properties governed by slow internal dynamics. Flowing matter refers to all systems that can actually flow, from simple to multiphase liquids, from foams to granular matter. Living matter concerns the new physics that emerges from novel insights into the properties and behaviours of living systems. Furthermore, it aims at developing new concepts and quantitative approaches for the study of biological phenomena. Approaches from soft matter physics and statistical physics play a key role in this research. The journal includes reports of experimental, computational and theoretical studies and appeals to the broad interdisciplinary communities including physics, chemistry, biology, mathematics and materials science.
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