Open AccessSelf-organized criticality in one-dimensional sandpile model with avalanche probability included
Author(s) -
Zhou Hai-Ping,
Shaohong Cai,
Chunxiang Wang
Publication year - 2006
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.55.3355
Subject(s) - abelian sandpile model , cellular automaton , criticality , self organized criticality , statistical physics , critical phenomena , physics , critical exponent , computer science , quantum mechanics , algorithm , phase transition , nuclear physics
Proposed an one-dimensional sandpile model which include avalanche probability, and performed computer simulation by cellular automata method. The results show that there are two critical points p1 and p2 when avalanche probability p transits from 0 to 1. The self-organized criticality(SOC) behavior can be found in the model when p12. There is a sharp transition between the trivial behaviour and the SOC behaviour in the model. When there is SOC, the SOC behaviour is universal, the two critical exponents are 1.50±0.02 and 1.58±0.15. With the model, the SOC phenomenon appearing in the experiment of one-demensional rice-pile is well explained.