自组织与自回避极限环
Self Organization and Self Avoiding Limit Cycles
摘要：
介绍并研究了一个简单的周期驱动系统，该系统显示丰富的行为。该系统自组织成一个马赛克的静态有序区域有三种可能的模式，这是线程的一维路径上的少量移动粒子旅行。这些轨迹是自避免和不相交的，并探讨了它们与自避免随机游动的关系。接近$ρ=0.5$的路径长度的分布成为幂律像一些截止长度，这表明一个可能的临界状态。
英文摘要：
A simple periodically driven system displaying rich behavior is introduced and studied. The system self-organizes into a mosaic of static ordered regions with three possible patterns, which are threaded by one-dimensional paths on which a small number of mobile particles travel. These trajectories are self-avoiding and non-intersecting, and their relationship to self-avoiding random walks is explored. Near $ρ=0.5$ the distribution of path lengths becomes power-law like up to some cutoff length, suggesting a possible critical state.
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。
