老化中的竞争：有序、无序和同步的集体行为
Competition in the presence of aging: order, disorder, and synchronized collective behavior
摘要：
我们研究了耦合态的随机动力学，其转移概率依赖于局部持续性，即自状态改变以来的时间。当人口倾向于采用旧国家时，由于旧国家的主导地位，系统会迅速排序。当对新状态的偏好占上风时，系统可以表现出状态的共存或同步的集体行为，从而导致长的排序时间。在这种情况下，系统的磁化$m(t)$围绕$m(t)=0$振荡。社会系统的影响进行了讨论。
英文摘要：
We study the stochastic dynamics of coupled states with transition probabilities depending on local persistence, this is, the time since a state has changed. When the population has a preference to adopt older states the system orders quickly due to the dominance of the old state. When preference for new states prevails, the system can show coexistence of states or synchronized collective behavior resulting in long ordering times. In this case, the magnetization $m(t)$ of the system oscillates around $m(t)=0$. Implications for social systems are discussed.
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。
