We set up and study the hydrodynamic theory for inversion-symmetric active fluid and tethered membranes. For some choices of the activity parameter, such membranes are stable and described by linear hydrodynamic equations, which are exact in the asymptotic long wavelength limit, giving stable flat phases with translational quasi long range orders. For other choices of the activity parameter, the system is linearly unstable in the long wavelength limit, implying crumpling, or has intermediate wavevector instabilities, suggesting patterns. We argue that in such an active membrane thermal noises dominate over any active noises, and use those to calculate the correlation functions of membrane conformation fluctuations in the stable case, and the associated correlation functions of the embedding bulk flow velocities
Anisotropy can make a moving active fluid membrane rough or crumpled
Saha Institute of Nuclear Physics（萨哈核物理研究所）；Homi Bhabha National Institute（霍米·巴巴国立研究所）；Saarland University（萨尔兰大学）；Max-Planck-Institut für Physik komplexer Systeme（马克斯·普朗克复杂系统物理研究所）
Activity-induced emergent flatness, instabilities and pattern formation in fluid membranes
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）
Three-loop order approach to flat polymerized membranes
我们推导出三圈阶重整化群方程，其描述在修改的最小减法方案内的聚合膜的平坦相，遵循Aronovitz和Lubensky的开创性的单圈阶计算[Phys.Rev.Lett. 60，2634（1988）]和最近Coquand，Mouhanna和Teber的双环序一[Phys. Rev. E 101，062104（2020）]。我们分析了这些方程的不动点，并计算了三圈阶的伴随场反常维数$η$。我们的结果显示出显着的接近与那些使用非微扰技术和重新扩大的权力$ε=4-D$。此外，我们在$D=2$中得到的$η$在稳定不动点$η=0.8872$处的三圈阶值与已知的理论结果是相容的，并且在可接受的数值范围内。
