混沌动力学创造并摧毁分支流
Chaotic dynamics creates and destroys branched flow
AI总结：
本研究通过数值与理论分析揭示周期势中分支流的形成与衰减规律，指出混沌动力学驱动分支诞生，而超导线导致新的衰减特征。
摘要：
分支流现象表现为传播的粒子、波或射线形成的混沌树状图案，已在从电子到海啸等各种物理系统中被发现，而周期系统直到最近才被加入这一名单。本文探讨支配周期势中分支演化的规律。一方面，我们观察到，在所有不可积势中，无论势是周期的还是完全不规则的，分支形成都遵循相似模式。混沌动力学最终驱动分支的诞生。另一方面，我们的结果表明，对于周期势，由于存在被称为超导线（superwires）的无限稳定分支，分支的衰减呈现出新的特征。此外，分支流与超导线之间的相互作用与哈密顿混沌有着深刻联系。在本工作中，我们探讨分支流规律与相空间结构之间的关系，并提供大量数值和理论论据来支持我们的发现。
英文摘要：
The phenomenon of branched flow, visualized as a chaotic arborescent pattern of propagating particles, waves, or rays, has been identified in disparate physical systems ranging from electrons to tsunamis, with periodic systems only recently being added to this list. Here, we explore the laws governing the evolution of the branches in periodic potentials. On one hand, we observe that branch formation follows a similar pattern in all non-integrable potentials, no matter whether the potentials are periodic or completely irregular. Chaotic dynamics ultimately drives the birth of the branches. On the other hand, our results reveal that for periodic potentials the decay of the branches exhibits new characteristics due to the presence of infinitely stable branches known as superwires. Again, the interplay between branched flow and superwires is deeply connected to Hamiltonian chaos. In this work, we explore the relationships between the laws of branched flow and the structures of phase space, providing extensive numerical and theoretical arguments to support our findings.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
