论文标题

通过Boussinesq相互作用在软基板上介导的吸附的刚性棒的订购

Ordering of adsorbed rigid rods mediated by the Boussinesq interaction on a soft substrate

论文作者

Kumari, Sunita, Ye, Fangfu, Podgornik, Rudolf

论文摘要

由软底物的机械扭曲驱动的定向排序在材料转化过程(例如弹性毛细血管和表面锚定)中起着重要作用。我们提出了一个沉积在有限厚度的柔软的弹性基板表面上的各向异性棒的定向响应的理论模型。我们表明,各向异性棒表现出由表面沉积杆之间的定向相互作用驱动的连续各向同性纽维型相变。这种相互作用是通过基础弹性底物的变形来介导的,并通过适合细长的表面沉积杆的boussinesq溶液量化。从微观杆杆相互作用中,我们得出了适当的maier-saupe均值场描述,其中包括由于底物弹性而导致的Boussinesq弹性自由能贡献,得出了存在连续定向订购过渡的条件,并讨论了在软(Bio)Systems Contect中结果的含义。

Orientational ordering driven by mechanical distortion of soft substrates plays a major role in material transformation processes such as elastocapillarity and surface anchoring. We present a theoretical model of the orientational response of anisotropic rods deposited onto a surface of a soft, elastic substrate of finite thickness. We show that anisotropic rods exhibit a continuous isotropic-nematic phase transition, driven by orientational interactions between surface deposited rods. This interaction is mediated by the deformation of the underlying elastic substrate, and is quantified by the Boussinesq solution adapted to the case of slender, surface deposited rods. From the microscopic rod-rod interactions we derive the appropriate Maier-Saupe mean-field description, which includes the Boussinesq elastic free-energy contribution due to the substrate elasticity, derive the conditions for the existence of a continuous orientational ordering transition and discuss the implication of results in the soft (bio) systems context.

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