Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Department of Physics, Ludwig-Maximilians-Universität München, Theresienstrasse 37, D-80333 Munich, Germany.
Phys Rev Lett. 2022 Feb 18;128(7):078302. doi: 10.1103/PhysRevLett.128.078302.
The diffusive epidemic process is a paradigmatic example of an absorbing state phase transition in which healthy and infected individuals spread with different diffusion constants. Using stochastic activity spreading simulations in combination with finite-size scaling analyses we reveal two qualitatively different processes that characterize the critical dynamics: subdiffusive propagation of infection clusters and diffusive fluctuations in the healthy population. This suggests the presence of a strong-coupling regime and sheds new light on a long-standing debate about the theoretical classification of the system.
扩散性流行病过程是一个吸收态相变的典型范例,其中健康个体和感染者以不同的扩散常数进行传播。通过随机活动传播模拟和有限尺寸标度分析的结合,我们揭示了两个定性不同的过程,它们描述了临界动力学:感染群的亚扩散传播和健康人群中的扩散波动。这表明存在一个强耦合状态,并为关于系统理论分类的长期争论提供了新的见解。