标题： 非互易模型B：迁移率和非互易界面力的作用 显示英文标题

标题： Nonreciprocal Model B: The role of mobilities and nonreciprocal interfacial forces

摘要： 我们研究了Model B的一个非互惠版本，作为非互惠粒子混合物的连续理论。 与非互惠Cahn-Hilliard模型不同，在这种情况下，考虑迁移率系数对局部浓度的依赖性非常重要。 我们表明，对于某种形式的迁移率来说线性稳定的均匀状态，对于另一种形式的迁移率可能不稳定，这种现象在平衡情况下是不可能出现的，并意味着迁移率在非互惠混合物中起着关键作用。 对于不稳定的均匀状态，我们研究了控制相分离开始的spinodal动力学。 我们发现，再次与非互惠Cahn-Hilliard模型相反，静态和振荡不稳定性之间的异常点转换通常会被一阶转换所避免，其中spinodal尺度发生突变。 在这些转换中，我们发现了复杂的spinodal动力学，有两个竞争的尺度，一个主导静态不稳定性，另一个主导振荡不稳定性，即产生行进波。 我们证明，根据相互作用强度的不同，spinodal动力学中可能发生更复杂的转换，包括三个尺度共存和一阶转换线，这些转换线在临界点终止，存在于不同的静态不稳定性之间。 最后，我们探讨了界面化学势中的额外非互惠性的影响，这在通过从非互惠粒子模型粗粒化得到Model B时通常是预期的。 我们表明，界面非互惠性可以增加spinodal相图中振荡不稳定性发生的区域，但仅限于我们通过分析和数值模拟确定的某个边界。 显示英文摘要

摘要： We study a non-reciprocal version of Model B, as the continuum theory for non-reciprocal particle mixtures. In contrast to non-reciprocal Cahn-Hilliard models, it is important in this context to consider the dependence of mobility coefficients on the local concentrations. We show that a homogeneous state that is linearly stable for one form of the mobility can be unstable for a different form of mobility, an effect that would be impossible in equilibrium and implies a crucial role for mobilities in non-reciprocal mixtures. For unstable homogeneous states we study the spinodal dynamics governing the onset of phase separation. We find, again in contrast to non-reciprocal Cahn-Hilliard models, that exceptional point transitions between static and oscillatory instabilities are generically avoided by first order transitions where the spinodal lengthscale changes discontinuously. At these transitions we find intricate spinodal dynamics with two competing lengthscales, one governing a static instability and the other an oscillatory instability, i.e. one that generates travelling waves. We demonstrate that, depending on interaction strengths, more complex transitions can occur in the spinodal dynamics, including coexistence of three lengthscales and first order transition lines, terminated by critical points, between distinct static instabilities. Finally, we explore the effects of additional non-reciprocity in the interfacial chemical potentials, which would generically be expected when obtaining Model B by coarse graining from a non-reciprocal particle model. We show that interfacial non-reciprocity can increase the region in the spinodal phase diagram where oscillatory instabilities occur, but only up to a certain boundary that we establish analytically and demonstrate numerically.