摘要翻译:
我们表明,在热力学稳定的均相中,液体混合物在足够高的频率下旋转时,可以发生相分离转变。这种相变不同于通常的两种液体不混溶或一种组分(例如聚合物)的缓慢沉降过程由于离心而加速的情况。对于二元混合物,主要的耦合是由于一项$\propto\delta\rho(\omega r)^2$,其中$\delta\rho$是两种液体密度与$r$到旋转轴的距离之差。在临界温度以下有一个临界旋转频率$\omega_c$,在该频率以下出现平滑的密度梯度。当$\\omega>\\omega_c$时,靠近离心机中心的低密度液体与远离中心的高密度液体之间有一个明显的界面。这些发现可能与各种分离过程和化学反应的控制有关,特别是它们的动力学。
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英文标题:
《Phase-separation of miscible liquids in a centrifuge》
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作者:
Yoav Tsori and Ludwik Leibler
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Soft Condensed Matter 软凝聚态物质
分类描述:Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜,聚合物,液晶,玻璃,胶体,颗粒物质
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一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
We show that a liquid mixture in the thermodynamically stable homogeneous phase can undergo a phase-separation transition when rotated at sufficiently high frequency $\omega$. This phase-transition is different from the usual case where two liquids are immiscible or where the slow sedimentation process of one component (e.g. a polymer) is accelerated due to centrifugation. For a binary mixture, the main coupling is due to a term $\propto \Delta\rho(\omega r)^2$, where $\Delta\rho$ is the difference between the two liquid densities and $r$ the distance from the rotation axis. Below the critical temperature there is a critical rotation frequency $\omega_c$, below which smooth density gradients occur. When $\omega>\omega_c$, we find a sharp interface between the low density liquid close to the center of the centrifuge and a high density liquid far from the center. These findings may be relevant to various separation processes and to the control of chemical reactions, in particular their kinetics.
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PDF链接:
https://arxiv.org/pdf/707.2266


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