In recent years, clapping synchronization between individuals has been widely studied as one of the typical synchronization phenomena. In this paper, we aim to reveal the synchronization mechanism of clapping interact...In recent years, clapping synchronization between individuals has been widely studied as one of the typical synchronization phenomena. In this paper, we aim to reveal the synchronization mechanism of clapping interactions by observing two individuals’ clapping rhythms in a series of experiments. We find that the two synchronizing clapping rhythm series exhibit long-range cross-correlations(LRCCs);that is, the interaction of clapping rhythms can be seen as a strong-anticipation process. Previous studies have demonstrated that the interactions in local timescales or global matching in statistical structures of fluctuation in long timescales can be sources of the strong-anticipation process. However, the origin of the strong anticipation process often appears elusive in many complex systems. Here, we find that the clapping synchronization process may result from the local interaction between two clapping individuals and may result from the more global coordination between two clapping individuals. We introduce two stochastic models for mutually interacting clapping individuals that generate the LRCCs and prove theoretically that the generation of clapping synchronization process needs to consider both local interaction and global matching. This study provides a statistical framework for studying the internal synchronization mechanism of other complex systems. Our theoretical model can also be applied to study the dynamics of other complex systems with the LRCCs, including finance, transportation, and climate.展开更多
尽管基于原子力显微镜(Atom force microscopy,AFM)的纳米操作在过去10年间取得了极大进展,但依然有两个问题没有得到很好解决:探针的精确定位和稳定性操作。由于压电陶瓷驱动器非线性和温漂的影响,使得探针相对于被操作物体的定位极其...尽管基于原子力显微镜(Atom force microscopy,AFM)的纳米操作在过去10年间取得了极大进展,但依然有两个问题没有得到很好解决:探针的精确定位和稳定性操作。由于压电陶瓷驱动器非线性和温漂的影响,使得探针相对于被操作物体的定位极其困难,从而造成纳米操作任务失败;同时,因为探针仅能对被操作物体施加点式作用力,在操作中经常出现探针滑过被操作物体,或者引起被操作物体的转动、形变等非理想结果,阻碍纳米操作的深入发展。针对上述问题,提出基于概率的虚拟夹具纳米操作方法,其核心思想是在基于路标观测的探针定位基础上,实现基于概率的探针多点并发操作策略—虚拟夹具方法。仿真与试验结果验证该方法可以稳定、长距离的推动纳米颗粒,能够对一维纳米材料(管、线、棒)进行定姿态操作,从而使AFM纳米操作效率得到极大提升。展开更多
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11765008,71731002,and 11775034)the Jiangxi Provincial Natural Science Foundation,China(Grant No.20202ACBL201004)。
文摘In recent years, clapping synchronization between individuals has been widely studied as one of the typical synchronization phenomena. In this paper, we aim to reveal the synchronization mechanism of clapping interactions by observing two individuals’ clapping rhythms in a series of experiments. We find that the two synchronizing clapping rhythm series exhibit long-range cross-correlations(LRCCs);that is, the interaction of clapping rhythms can be seen as a strong-anticipation process. Previous studies have demonstrated that the interactions in local timescales or global matching in statistical structures of fluctuation in long timescales can be sources of the strong-anticipation process. However, the origin of the strong anticipation process often appears elusive in many complex systems. Here, we find that the clapping synchronization process may result from the local interaction between two clapping individuals and may result from the more global coordination between two clapping individuals. We introduce two stochastic models for mutually interacting clapping individuals that generate the LRCCs and prove theoretically that the generation of clapping synchronization process needs to consider both local interaction and global matching. This study provides a statistical framework for studying the internal synchronization mechanism of other complex systems. Our theoretical model can also be applied to study the dynamics of other complex systems with the LRCCs, including finance, transportation, and climate.
文摘尽管基于原子力显微镜(Atom force microscopy,AFM)的纳米操作在过去10年间取得了极大进展,但依然有两个问题没有得到很好解决:探针的精确定位和稳定性操作。由于压电陶瓷驱动器非线性和温漂的影响,使得探针相对于被操作物体的定位极其困难,从而造成纳米操作任务失败;同时,因为探针仅能对被操作物体施加点式作用力,在操作中经常出现探针滑过被操作物体,或者引起被操作物体的转动、形变等非理想结果,阻碍纳米操作的深入发展。针对上述问题,提出基于概率的虚拟夹具纳米操作方法,其核心思想是在基于路标观测的探针定位基础上,实现基于概率的探针多点并发操作策略—虚拟夹具方法。仿真与试验结果验证该方法可以稳定、长距离的推动纳米颗粒,能够对一维纳米材料(管、线、棒)进行定姿态操作,从而使AFM纳米操作效率得到极大提升。
