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arXiv 1701.09095physics.bio-phcond-mat.soft
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活动表面力学

Mechanics of active surfaces

Guillaume Salbreux, Frank Jülicher

摘要:

我们推导出一个完全协变理论的力学活动表面。该理论为研究表面的活性生物或化学过程提供了一个框架,例如细胞皮层,上皮组织的力学或表面上的重建活性系统。我们引入力和力矩作用在一个表面上,并推导出相关的力平衡条件。我们证明了具有面内旋转对称性的曲面可以具有破缺的上下、手征或平面手征对称性。我们讨论的熵产生率在表面和写线性本构关系,满足Onsager关系。我们表明,弯曲模量,自发曲率和表面张力的被动表面重整化的主动条款。最后,我们确定了新的主动条款,这是没有发现在被动理论和讨论的形状不稳定性的例子,在表面的主动过程。

英文摘要:

We derive a fully covariant theory of the mechanics of active surfaces. This theory provides a framework for the study of active biological or chemical processes at surfaces, such as the cell cortex, the mechanics of epithelial tissues, or reconstituted active systems on surfaces. We introduce forces and torques acting on a surface, and derive the associated force balance conditions. We show that surfaces with in-plane rotational symmetry can have broken up-down, chiral or planar-chiral symmetry. We discuss the rate of entropy production in the surface and write linear constitutive relations that satisfy the Onsager relations. We show that the bending modulus, the spontaneous curvature and the surface tension of a passive surface are renormalised by active terms. Finally, we identify novel active terms which are not found in a passive theory and discuss examples of shape instabilities that are related to active processes in the surface.

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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