arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1902.10083cond-mat.soft
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主动悬浮液中动力学相关的密度分布

Dynamics-dependent density distribution in active suspensions

Jochen Arlt, Vincent A Martinez, Angela Dawson, Teuta Pilizota, Wilson C K Poon

摘要:

自推进胶体是一类重要的本质非平衡物质。通常,这样的粒子在短时间内以弹道方式移动,但最终会改变其方向,并在长时间内显示随机行走行为。理论预测,如果非相互作用的游泳者的速度在1D空间中变化,$v(x)$,则它们的密度$ρ(x)$满足$ρ(x) = ρ(0)v(0)/v(x)$,其中$x = 0$是任意参考点。这种稳态$ρ(x)$对粒子动力学的依赖性是热平衡中所禁止的,而粒子动力学是最近证明如何用细菌“上色”的工作的定性基础。我们通过构建在光照下以强度依赖的速度游泳的细菌来定量验证这一预测。因此,空间光图案产生速度分布,沿着该速度分布,我们发现,事实上,如果达到稳定状态,则$ρ(x)v(x) = \mathrm{constant}$。

英文摘要:

Self-propelled colloids constitute an important class of intrinsically non-equilibrium matter. Typically, such a particle moves ballistically at short times, but eventually changes its orientation, and displays random-walk behavior in the long-time limit. Theory predicts that if the velocity of non-interacting swimmers varies spatially in 1D, $v(x)$, then their density $ρ(x)$ satisfies $ρ(x) = ρ(0)v(0)/v(x)$, where $x = 0$ is an arbitrary reference point. Such a dependence of steady-state $ρ(x)$ on the particle dynamics, which was the qualitative basis of recent work demonstrating how to `paint' with bacteria, is forbidden in thermal equilibrium. We verify this prediction quantitatively by constructing bacteria that swim with an intensity-dependent speed when illuminated. A spatial light pattern therefore creates a speed profile, along which we find that, indeed, $ρ(x)v(x) = \mathrm{constant}$, provided that steady state is reached.

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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