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arXiv 1504.07447cond-mat.softcond-mat.stat-mechphysics.bio-phphysics.flu-dyn
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活动模型H:动量守恒流体中的标量活性物质

Active Model H: Scalar Active Matter in a Momentum-Conserving Fluid

Adriano Tiribocchi, Raphael Wittkowski, Davide Marenduzzo, Michael E. Cates

摘要:

我们提出了一个自推进粒子的连续理论,没有对齐的相互作用,在动量守恒的溶剂。为了解决相分离,我们引入了一个标量浓度场$ϕ$与对流扩散动力学。活动产生对偏应力的贡献$Σ_{ij}=-ζ((\partial_iϕ)(\partial_jϕ)-(\nablaϕ)^{2}δ_{ij}/d)$,其中$ζ$在时间反演下是奇数,而$d$是空间维数;这导致对收缩性游泳者为负的有效界面张力贡献。我们预测,域的增长,然后停止在扩散粗化的界面的主动拉伸平衡的长度尺度,并确认这一数字。因此,即使没有排列相互作用,活动和流体动力学的相互作用也是非常重要的。

英文摘要:

We present a continuum theory of self-propelled particles, without alignment interactions, in a momentum-conserving solvent. To address phase separation we introduce a scalar concentration field $ϕ$ with advective-diffusive dynamics. Activity creates a contribution $Σ_{ij}=-ζ((\partial_iϕ)(\partial_jϕ)-(\nablaϕ)^{2}δ_{ij}/d)$ to the deviatoric stress, where $ζ$ is odd under time reversal and $d$ is the number of spatial dimensions; this causes an effective interfacial tension contribution that is negative for contractile swimmers. We predict that domain growth then ceases at a length scale where diffusive coarsening is balanced by active stretching of interfaces, and confirm this numerically. Thus the interplay of activity and hydrodynamics is highly nontrivial, even without alignment interactions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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