论文标题
步行液滴作为阻尼驱动的系统
Walking droplets as a damped-driven system
论文作者
论文摘要
我们考虑了振动液浴缸上液滴的动力学。这种流体动力量子模拟系统被证明会引起阻尼驱动系统的规范行为，包括一段时期的混乱途径。通过将系统作为增益和损耗动力学之间的组成图近似，可以证明潜在的非线性动力学是由系统中的能量平衡驱动的。增益损失的迭代映射类似于该空间扩展系统中产生的模式形成不稳定性的正常形式。类似于模式锁定的激光器和旋转的爆炸引擎，损失和增益的一般形式的基础分叉持续存在，这两者都在我们的近似值中允许明确表示。此外，粒子波相互作用的最终几何描述完全表征了实验中观察到的不稳定性。
We consider the dynamics of a droplet on a vibrating fluid bath. This hydrodynamic quantum analog system is shown to elicit the canonical behavior of damped-driven systems, including a period doubling route to chaos. By approximating the system as a compositional map between the gain and loss dynamics, the underlying nonlinear dynamics can be shown to be driven by energy balances in the systems. The gain-loss iterative mapping is similar to a normal form encoding for the pattern forming instabilities generated in such spatially-extended system. Similar to mode-locked lasers and rotating detonation engines, the underlying bifurcations persist for general forms of the loss and gain, both of which admit explicit representations in our approximation. Moreover, the resulting geometrical description of the particle-wave interaction completely characterizes the instabilities observed in experiments.
