活动诱导的流体膜中的涌现平坦性、不稳定性和图案形成
Activity-induced emergent flatness, instabilities and pattern formation in fluid membranes
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中文总结 AI 辅助
本研究揭示微观反演不对称的活性流体膜在大尺度上统计平坦，但活性应力或渗透流可导致失稳和图案形成，提供破坏平坦膜的新途径。
中文摘要 AI 辅助
我们证明，微观上反演不对称、可渗透的活性流体膜在大尺度上是统计平坦且有效反演对称的。其涨落由一个渐近精确的线性流体动力学方程控制，该方程给出取向长程有序和位置准长程有序。在中间尺度上，其动力学由具有空间长程噪声的Kardar-Parisi-Zhang方程描述，产生具有短程平移有序和长程取向有序的粗糙膜，这些有序由精确已知的标度指数描述。活性应力可以在长波长下使膜失稳，而足够强的活性渗透流可以驱动有限波矢不稳定性和图案形成。这些结果揭示了活性驱动的破坏平坦流体膜的新途径。
英文摘要
We show that microscopically inversion-asymmetric, permeable active fluid membranes are statistically flat and effectively inversion-symmetric at large scales. Their fluctuations are governed by an asymptotically exact linear hydrodynamic equation giving orientational long-range order and positional quasi-long-range order. At intermediate scales, their dynamics is described by a Kardar-Parisi-Zhang equation with spatially long-range noise, producing rough membranes with short-range translational and long-range orientational order described by exactly known scaling exponents. Active stresses can destabilize the membrane at long wavelengths, while sufficiently strong active permeation flow can drive finite-wavevector instabilities and pattern formation. These results reveal a novel activity-driven route to the destruction of flat fluid membranes.
发表机构
- Theoretical Physics Division, Saha Institute of Nuclear Physics, a CI of Homi Bhabha National Institute（萨哈核物理研究所理论物理部，霍米·巴巴国立大学附属机构）
- Center for Biophysics & Department of Theoretical Physics, Saarland University（萨尔兰大学生物物理中心与理论物理系）
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