论文标题
在平均场模型中具有不均匀性的滞后相界面的不稳定性
Instability of hysteretic phase interfaces in a mean-field model with inhomogeneities
论文作者
论文摘要
我们研究由动态约束驱动并通过非本地均值场耦合的非相同双重颗粒的系统。假设分段仿射本规范定律，我们证明了波动波解决方案的存在，并表征了它们的动力稳定性。我们的发现解释了相位界面的两个动力学机制，可以在具有不同参数的数值模拟中观察到。我们进一步讨论了与速率独立模型的收敛性，并在消失的松弛时间限制下具有强滞后。
We study a system of non-identical bistable particles that is driven by a dynamical constraint and coupled through a non-local mean-field. Assuming piecewise affine constitutive laws we prove the existence of traveling wave solutions and characterize their dynamical stability. Our findings explain the two dynamical regimes for phase interface that can be observed in numerical simulations with different parameters. We further discuss the convergence to a rate-independent model with strong hysteresis in the limit of vanishing relaxation time.
