Muñoz M A, Dickman R, Vespignani A, Zapperi S
The Abdus Salam International Centre for Theoretical Physics (ICTP), P.O. Box 586, 34100 Trieste, Italy.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 May;59(5 Pt B):6175-9. doi: 10.1103/physreve.59.6175.
We present generic scaling laws relating spreading critical exponents and avalanche exponents (in the sense of self-organized criticality) in general systems with absorbing states. Using these scaling laws we present a collection of the state-of-the-art exponents for directed percolation, dynamical percolation, and other universality classes. This collection of results should help to elucidate the connections of self-organized criticality and systems with absorbing states. In particular, some nonuniversality in avalanche exponents is predicted for systems with many absorbing states.
我们给出了在具有吸收态的一般系统中，将扩散临界指数和雪崩指数（在自组织临界性的意义上）联系起来的通用标度律。利用这些标度律，我们给出了有向渗流、动态渗流及其他普适类的一系列最新指数。这些结果有助于阐明自组织临界性与具有吸收态的系统之间的联系。特别地，对于具有多个吸收态的系统，预测了雪崩指数中的一些非普适性。
