标题： 驱动多稳态材料中的条带形成和极化 显示英文标题

标题： Banding and polarization in driven multistable materials

摘要： 我们研究了一个受周期应变作用的双稳态键的无序网络。 该模型受到对皱褶纸张实验的启发，其特征行为与玻璃相关，包括复杂的能量景观、记忆效应和大的雪崩现象。 在小应变幅度下，系统迅速收敛到一个极限环，其中系统在一组状态之间反复循环。 在大振幅下，运动是混乱的，并不收敛到极限环。 过渡似乎具有连续性，时间尺度趋于发散。 过渡两侧的不稳定性质不同。 在小应变幅度下，不稳定仅在有限距离内相关。 在转换之上，不稳定沿对角带局部化。 带之间的距离在接近转换时增长并似乎发散。 我们提出一个简单的模型来解释这些观察结果。 在转换之下，我们提出一个新的“序参数”——沿驱动方向的不稳定性的极化。 显示英文摘要

摘要： We study a disordered network of bistable bonds subjected to periodic strain. The model is inspired by experiments on crumpled sheets and it features behaviors associated with glasses, including a complex energy landscape, memories, and large avalanches. At small strain amplitudes, the system quickly converges to a limit cycle where the system repeatedly cycles between a set of states. At large amplitudes, motion is erratic and does not converge to a limit cycle. The transition appears to be continuous, with diverging time scales. The nature of instabilities is different on both sides of the transition. At small strain amplitudes, instabilities are correlated only over a finite distance. Above the transition, instabilities are localized along diagonal bands. The distance between bands grows near the transition and appears to diverge. We propose a simple model that explains these observations. Below the transition, we propose a new ``order parameter'' -- the polarization of the instabilities along the driving direction.