Anomalous scaling in the Zhang model

European Physical Journal B

Volumn 18, Issue 2, 2000, Pages 197-200

  Pastor Satorras, R ^a   Vespignani, A ^b  

^a UNIVERSITY OF BARCELONA   (Spain)

^b ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

Author keywords

05.65.+b Self organized systems; 05.70.Ln Nonequilibrium and irreversible thermodynamics

Indexed keywords

EID: 0000790775     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510070048     Document Type: Article

References (22)

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15. In the original Zhang model [9] the energy increment δ in constant; the random increment used in this work leads to the same critical behavior, but renders the algorithm faster [11].
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19. t represents the dynamic critical exponent z.
20. When computing the moments, one has to be aware of the limitations of the validity of equation (2) for large q. At large q, the maximum contribution in the average (2) corresponds to the largest avalanches, of which one has the poorest statistics. Therefore, the moment's estimation for large q is affected by large statistical errors.
21. A. Vázquez, cond-mat/0003420.
22. Note the essential difference between this model and the Manna model in the limit of infinite threshold recently introduce by Lübeck [S. Lübeck, cond-mat/0008304].