（粘）弹性背景中活动极系的流体动力学
Hydrodynamics of Active Polar Systems in a (Visco)Elastic Background
摘要：
我们推导出一套完整的宏观方程描述系统的动力学与主动极序在粘弹性或弹性背景。主动极序由第二速度表示，第二速度的非零模是极序序参量，第二速度的方向是极优方向。粘弹性是由一个松弛的应变场，允许一个简单的变化，从短暂的永久弹性。考虑弹性结构相对于极方向的相对旋转。主动极序和（瞬态）弹性之间的复杂耦合导致极序序参量和应变的联合松弛。由于弹性和极序之间的可逆耦合，相当复杂的声谱包含特定的激励。手性的影响也被认为是。
英文摘要：
We derive the full set of macroscopic equations necessary to describe the dynamics of systems with active polar order in a viscoelastic or elastic background. The active polar order is manifested by a second velocity, whose non-zero modulus is the polar order parameter and whose direction is the polar preferred direction. Viscoelasticity is described by a relaxing strain field allowing for a straightforward change from transient to permanent elasticity. Relative rotations of the elastic structure with respect to the polar direction are taken into account. The intricate coupling between active polar order and (transient) elasticity leads to a combined relaxation of the polar order parameter and the strains. The rather involved sound spectrum contains a specific excitation due to a reversible coupling between elasticity and polar order. Effects of chirality are also considered.
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