论文标题
非reciprocity引起双场Cahn-Hilliard模型的共鸣
Nonreciprocity induces resonances in two-field Cahn-Hilliard model
论文作者
论文摘要
我们考虑了一种非经济耦合的两场Cahn-Hilliard系统，该系统已被证明允许振荡行为，抑制变形以及局部状态的存在。在这里，在介绍模型之后，我们首先简要回顾了均匀状态的线性稳定性，并表明所有不稳定性阈值与相应的图灵系统（即两种物种反应扩散系统）相同。接下来，我们讨论线性模式的可能相互作用，并通过在弱非线性方法中讨论相应的振幅方程来分析``hopf induring''共振的特定情况。因此，最终将获得的状态与特定保守修订的Fitzhugh-Nagumo系统的完全非线性模拟进行了比较。我们通过讨论弱非线性方法的局限性来结束。可以在T. Frohoff-Huülsmann，U。Thiele和L. M. Pismen的T. Frohoff-Huülsmann和L. M. Pismen下找到该预印本的发表版本。非肾脏可引起两场Cahn-Hilliard模型的共振。菲尔。反式。 R. Soc。 A. 381：20220087。20220087。doi：10.1098/rsta.2022.0087
We consider a non-reciprocically coupled two-field Cahn-Hilliard system that has been shown to allow for oscillatory behaviour, a suppression of coarsening as well as the existence of localised states. Here, after introducing the model we first briefly review the linear stability of homogeneous states and show that all instability thresholds are identical to the ones for a corresponding Turing system (i.e., a two-species reaction-diffusion system). Next, we discuss possible interactions of linear modes and analyse the specific case of a ``Hopf-Turing'' resonance by discussing corresponding amplitude equations in a weakly nonlinear approach. The thereby obtained states are finally compared with fully nonlinear simulations for a specific conserved amended FitzHugh-Nagumo system. We conclude by a discussion of the limitations of the weakly nonlinear approach. The published version of this preprint can be found under T. Frohoff-Huülsmann, U. Thiele and L. M. Pismen. Nonreciprocity induces resonances in two-field Cahn-Hilliard model. Phil. Trans. R. Soc. A. 381: 20220087. 20220087. DOI: 10.1098/rsta.2022.0087
