Self-organized critical scaling at surfaces

A. L. Stella, C. Tebaldi, and G. Caldarelli
Phys. Rev. E 52, 72 – Published 1 July 1995
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Abstract

At dissipative boundaries, models of self-organized criticality show peculiar scalings, different from the bulk ones, in the distributions characterizing avalanches. For Abelian models with Dirichlet boundary conditions, evidence of this is obtained by a mean field approach to semi-infinite sandpiles, and by numerical simulations in two and three dimensions. On the other hand, within the mean field description, closed Neumann conditions restore bulk scaling exponents also at the border. Numerical results are consistent with this property also at finite d.

  • Received 26 August 1994

DOI:https://doi.org/10.1103/PhysRevE.52.72

©1995 American Physical Society

Authors & Affiliations

A. L. Stella, C. Tebaldi, and G. Caldarelli

  • Dipartimento di Fisica e Sezione Istituto Nazionale di Fisica Nucleare, Università di Padova, Via F. Marzolo 8, I-35131 Padova, Italy
  • Scuola Internazionale Superiore di Studi Avanzati(enInternational School for Advanced Studies, Via Beirut 2, I-34100 Miramare, Trieste, Italy

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Issue

Vol. 52, Iss. 1 — July 1995

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