论文标题
与非晶状体耦合的二元混合物中的泡腾波
Effervescent waves in a binary mixture with non-reciprocal couplings
论文作者
论文摘要
众所周知,代表两个活性物种浓度的标量磁场之间的非转向性相互作用破坏了平衡状态的平等和时间反转(PT)对称性,这在行进波的出现中表现出来。我们探讨了非线性非重生的概念,并考虑一个模型,在该模型中,非重生相互作用可以取决于标量字段的局部值。对于存在这种耦合的通用情况,我们观察到稳态中时空混乱的出现。我们将这种混乱的行为与波动的空间结构域中的PT对称性进行局部恢复,从而导致振荡密度和相位分离的液滴的共存,这些液滴是自发产生和灭绝的。我们发现,我们将这种现象表示为泡腾,可以在两个不同的化身中以大部分参数空间的动态稳态存在,其特征是存在或不存在随附的行进波。
Non-reciprocal interactions between scalar fields that represent the concentrations of two active species are known to break the parity and time-reversal (PT) symmetries of the equilibrium state, as manifested in the emergence of travelling waves. We explore the notion of nonlinear non-reciprocity and consider a model in which the non-reciprocal interactions can depend on the local values of the scalar fields. For generic cases where such couplings exist, we observe the emergence of spatiotemporal chaos in the steady-state. We associate this chaotic behaviour with a local restoration of PT symmetry in fluctuating spatial domains, which leads to the coexistence of oscillating densities and phase-separated droplets that are spontaneously created and annihilated. We uncover that this phenomenon, which we denote as effervescence, can exist as a dynamical steady-state in large parts of the parameter space in two different incarnations, as characterized by the presence or absence of an accompanying travelling wave.