We introduce a renormalization scheme of novel type that allows us to characterize the critical state and the scale invariant dynamics in sandpile models. The attractive fixed point clarifies the nature of self-organization in these systems. Universality classes can be identified and the critical exponents can be computed analytically. We obtain τ=1.253 for the avalanche exponent and z=1.234 for the dynamical exponent. These results are in good agreement with computer simulations. The method can be naturally extended to other problems with nonequilibrium stationary states.
Renormalization scheme for self-organized criticality in sandpile models / L. Pietronero, A. Vespignani, S. Zapperi. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 72:11(1994 Mar 14), pp. 1690-1693.
Renormalization scheme for self-organized criticality in sandpile models
S. Zapperi
1994
Abstract
We introduce a renormalization scheme of novel type that allows us to characterize the critical state and the scale invariant dynamics in sandpile models. The attractive fixed point clarifies the nature of self-organization in these systems. Universality classes can be identified and the critical exponents can be computed analytically. We obtain τ=1.253 for the avalanche exponent and z=1.234 for the dynamical exponent. These results are in good agreement with computer simulations. The method can be naturally extended to other problems with nonequilibrium stationary states.File | Dimensione | Formato | |
---|---|---|---|
PhysRevLett.72.1690.pdf
accesso aperto
Tipologia:
Publisher's version/PDF
Dimensione
381.1 kB
Formato
Adobe PDF
|
381.1 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.