论文标题

标量主动混合物:非重生Cahn-Hilliard模型

Scalar Active Mixtures: The Non-Reciprocal Cahn-Hilliard Model

论文作者

Saha, Suropriya, Agudo-Canalejo, Jaime, Golestanian, Ramin

论文摘要

活跃粒子之间的配对相互作用不必遵循牛顿的第三定律。在这项工作中,我们提出了由于标量活性物质多种物种之间的非重生相互作用而导致的模式形成的连续模型。经典的Cahn-Hilliard模型通过补充了Ginzburg-Landau平衡动力学的修饰,并用粒子数节省电流,这些动力不能从自由能中得出,从而反映了显微镜与动作反应对称性的显微镜偏离。相互作用中不对称的强度决定了稳态是否表现出宏观相分离还是显示全局极性顺序的行进密度波。后一种结构相当于活跃的自propel的近晶相,它通过歼灭缺陷而变得浓缩,而以前的结构经历了奥斯特瓦尔德的成熟。行进密度波的出现是该活动系统中损坏的时间反转对称性的明确特征,是任何多组分混合物的通用特征,具有微观的非对流相互作用。

Pair interactions between active particles need not follow Newton's third law. In this work we propose a continuum model of pattern formation due to non-reciprocal interaction between multiple species of scalar active matter. The classical Cahn-Hilliard model is minimally modified by supplementing the equilibrium Ginzburg-Landau dynamics with particle number conserving currents which cannot be derived from a free energy, reflecting the microscopic departure from action-reaction symmetry. The strength of the asymmetry in the interaction determines whether the steady state exhibits a macroscopic phase separation or a traveling density wave displaying global polar order. The latter structure, which is equivalent to an active self-propelled smectic phase, coarsens via annihilation of defects, whereas the former structure undergoes Ostwald ripening. The emergence of traveling density waves, which is a clear signature of broken time-reversal symmetry in this active system, is a generic feature of any multi-component mixture with microscopic non-reciprocal interactions.

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