Type of Publication:  Journal article 
URI (citable link):  http://nbnresolving.de/urn:nbn:de:bsz:352opus90583 
Author:  Tadić, Bosiljka; Nowak, Ulrich; Usadel, KlausDieter; Ramaswamy, R.; Padlewski, S. 
Year of publication:  1992 
Published in:  Physical Review A ; 45 (1992), 12.  pp. 85368545 
DOI (citable link):  https://dx.doi.org/10.1103/PhysRevA.45.8536 
Summary: 
We study numerically the scaling behavior of disordered sandpile automata with preferred direction on a twodimensional square lattice. We consider two types of bulk defects that modify locally the dynamic rule: (i) a random distribution of holes, through which sand grains may leave the system, and (ii) several models with a random distribution of critical heights. We find that at large time and length scales the selforganized critical behavior, proved exactly in the pure model, is lost for any finite concentration of defects both in the model of random holes and in those models of random critical heights in which the dynamic rule violates the height conservation law. In the case of the random critical height model with the heightconserving dynamics, we find that selforganized criticality holds for the entire range of concentrations of defects, and it belongs to the same universality class as the pure model. In the case of random holes we analyze the scaling properties of the probability distributions P(T,p,L) and D(s,p,L) of avalanches of duration larger than T and size larger than s, respectively, at lattices with linear size L and concentration of defect sites p. We find that in general the following scaling forms apply: P(T)=TαscrP(T/x,T/L) and D(s)=sτscrD(s/m,s/Lν), where x≡x(p) and m≡m(p) are the characteristic duration (length) and the characteristic size (mass) of avalanches for a given concentration of defects. The powerlaw behavior of the distributions still persists for length scales T

PACS Classification:  64.60.Fr; 05.40.+j; 64.60.Ht 
Subject (DDC):  530 Physics 
Link to License:  In Copyright 
TADIĆ, Bosiljka, Ulrich NOWAK, KlausDieter USADEL, R. RAMASWAMY, S. PADLEWSKI, 1992. Scaling behavior in disordered sandpile automata. In: Physical Review A. 45(12), pp. 85368545. Available under: doi: 10.1103/PhysRevA.45.8536
@article{Tadic1992Scali9372, title={Scaling behavior in disordered sandpile automata}, year={1992}, doi={10.1103/PhysRevA.45.8536}, number={12}, volume={45}, journal={Physical Review A}, pages={85368545}, author={Tadić, Bosiljka and Nowak, Ulrich and Usadel, KlausDieter and Ramaswamy, R. and Padlewski, S.} }
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