arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1402.3987cond-mat.softphysics.bio-phq-bio.QM
收藏

主动极性粘弹性环的时空动力学

Spatio-temporal dynamics of an active, polar, viscoelastic ring

Philippe Marcq

摘要:

通过将应变场视为慢流体力学变量,导出了一维、活性、极性、粘弹性液体的本构方程。考虑到对称性允许的应变和极性之间的耦合,一个积极的,极性的,粘弹性体的流体动力学包括一个演化方程的极性场,广义阻尼Kuramoto-Sivashinsky方程。在极性和应力或应变率之间的有效耦合系数的阈值之外,均匀状态的分叉首先导致驻波,然后导致应变、应力和极性场的传播波。我认为,这些结果是相关的生活物质,并可能解释旋转肌动球蛋白环在细胞和机械波在上皮细胞单层。

英文摘要:

Constitutive equations for a one-dimensional, active, polar, viscoelastic liquid are derived by treating the strain field as a slow hydrodynamic variable. Taking into account the couplings between strain and polarity allowed by symmetry, the hydrodynamics of an active, polar, viscoelastic body include an evolution equation for the polarity field that generalizes the damped Kuramoto-Sivashinsky equation. Beyond thresholds of the active coupling coefficients between the polarity and the stress or the strain rate, bifurcations of the homogeneous state lead first to stationary waves, then to propagating waves of the strain, stress and polarity fields. I argue that these results are relevant to living matter, and may explain rotating actomyosin rings in cells and mechanical waves in epithelial cell monolayers.

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。

↑