具有可调簇化的齐次网络上的竞争接触过程
Competing contact processes on homogeneous networks with tunable clusterization
摘要：
我们研究了两个同构网络：Watts-Strogatz网络和随机Erdos-Renyi网络，后者具有可调的聚类系数$C$。网络是两个竞争接触过程的区域，其中节点可以处于两种状态，S或D。一个节点S成为D的概率为1，如果至少有两个它的相互链接的邻居是D。如果节点D的至少一个邻居是S，则节点D以给定的概率$p$变为S。过程之间的竞争由相图描述，其中临界概率$p_c$取决于聚类系数$C$。对于$p>p_c$，状态S的速率随时间增加，似乎在整个系统中占主导地位。在$p_c$以下，D节点的贡献仍然有限。数值结果表明，这种转捩是不连续的。
英文摘要：
We investigate two homogeneous networks: the Watts-Strogatz network and the random Erdos-Renyi network, the latter with tunable clustering coefficient $C$. The network is an area of two competing contact processes, where nodes can be in two states, S or D. A node S becomes D with probability 1 if at least two its mutually linked neighbours are D. A node D becomes S with a given probability $p$ if at least one of its neighbours is S. The competition between the processes is described by a phase diagram, where the critical probability $p_c$ depends on the clustering coefficient $C$. For $p>p_c$ the rate of state S increases in time, seemingly to dominate in the whole system. Below $p_c$, the contribution of D-nodes remains finite. The numerical results, supported by mean field approach, indicate that the transition is discontinuous.
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