Role of the internal degree of freedom of particles in cluster formation
Role of the internal degree of freedom of particles in cluster formation
复制标题
粒子内部自由度在团簇形成中的作用
DOI：
10.1103/physreve.102.062202
复制
发表时间：
2020
影响因子：
2.4
通讯作者：
Masatomo Iwasa
中科院分区：
文献类型：
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作者：
Masatomo Iwasa
通过考虑多粒子系统中团簇的形成，探讨了粒子内部自由度对自组织的影响。我们分析了一类一般的动力系统，其中粒子之间的相互作用取决于它们的空间距离和它们的内部状态的差异。特别地，我们分析了一个三粒子系统，其中存在两种稳定模式，即(i)正三角形（二维簇）和（ii）直线（一维簇）。结果表明，当内部自由度存在时，线性模式是稳定的，而当动力学只依赖于空间距离时，线性模式总是不稳定的。基于这一分析，我们可以理解为什么会出现这种差异。如果内部状态可以引起相互作用的不对称，这可以使粒子保持在一维簇中。
How the internal degree of freedom of particles influences self-organization is explored by considering cluster formation in many-particle systems. We analyze a general class of dynamical systems in which the interactions between particles depend on their spatial distance and the difference of their internal states. In particular, we analyze a three-particle system in which two types of steady patterns exist, namely, (i) a regular triangle (two-dimensional cluster) and (ii) a straight line (one-dimensional cluster). The results show that the linear pattern can be stable when the internal degree of freedom exists, while it is always unstable when the dynamics depend only on the spatial distance. Based on this analysis, we can understand why this difference occurs. If the internal states can cause asymmetry of the interactions, this can enable the particles to remain in a one-dimensional cluster.