典型网络上Glauber-like Ising动力学的协同演化
Coevolution of Glauber-like Ising dynamics on typical networks
摘要：
我们考虑从两个不同的初始网络：一个一维的伊辛链和无标度网络的网站状态和链接结构的共同进化。动力学由预先指定的稳定性参数$S$和重新布线因子$ϕ$控制，重新布线因子决定所选位置的伊辛自旋是否翻转，或者节点是否重新布线到系统中的另一个节点。这种动力学也被研究了伊辛自旋随机分布在网络上的优先连接的节点之间。我们已经观察到这两种系统的稳态平均稳定性和磁化强度，以了解初始网络拓扑结构的影响。虽然平均稳定性显示出几乎相似的行为，但磁化强度取决于我们开始的初始条件。除局部动力学外，还研究了全局动力学效应对动力学的影响。这些参数显示了$S$和$ϕ$的不同值的有趣变化，这有助于确定给定底物的稳态条件。
英文摘要：
We consider coevolution of site status and link structures from two different initial networks: a one dimensional Ising chain and a scale free network. The dynamics is governed by a preassigned stability parameter $S$, and a rewiring factor $ϕ$, that determines whether the Ising spin at the chosen site flips or whether the node gets rewired to another node in the system. This dynamics has also been studied with Ising spins distributed randomly among nodes which lie on a network with preferential attachment. We have observed the steady state average stability and magnetisation for both kinds of systems to have an idea about the effect of initial network topology. Although the average stability shows almost similar behaviour, the magnetisation depends on the initial condition we start from. Apart from the local dynamics, the global effect on the dynamics has also been studied. These parameters show interesting variations for different values of $S$ and $ϕ$, which helps in determining the steady-state condition for a given substrate.
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