论文标题
复杂网络中关键的雪崩动态类
Classes of critical avalanche dynamics in complex networks
论文作者
论文摘要
展示吸收状态的动力学过程对于从物质科学到流行病学和社会科学的各种情况进行建模至关重要。这样的过程表现出在缓慢驾驶时进行雪崩行为的可能性。在这里，我们研究了复杂网络上众所周知的动力学过程的大小和持续时间的分布。我们发现所有分析的模型都表现出类似的临界行为，其特征在于存在两个不同的制度。在小尺度上，雪崩的尺寸和持续时间表现出取决于网络拓扑和模型动力学的分布。而是在渐近尺度上 - 无论动力学类型和基础网络的拓扑类型如何，雪崩的尺寸和持续时间都以幂律分布为特征，并具有标准均值范围关键分支过程的指数。
Dynamical processes exhibiting absorbing states are essential in the modeling of a large variety of situations from material science to epidemiology and social sciences. Such processes exhibit the possibility of avalanching behavior upon slow driving. Here, we study the distribution of sizes and durations of avalanches for well-known dynamical processes on complex networks. We find that all analyzed models display a similar critical behavior, characterized by the presence of two distinct regimes. At small scales, sizes and durations of avalanches exhibit distributions that are dependent on the network topology and the model dynamics. At asymptotically large scales instead -- irrespective of the type of dynamics and of the topology of the underlying network -- sizes and durations of avalanches are characterized by power-law distributions with the exponents of the standard mean-field critical branching process.
