Avalanche behavior in an absorbing state Oslo model.

Self-organized criticality can be translated into the language of absorbing state phase transitions. Most models for which this analogy is established have been investigated for their absorbing state characteristics. In this paper, we transform the self-organized critical Oslo model into an absorbing state Oslo model and analyze the avalanche behavior. We find that the resulting gap exponent D is consistent with its value in the self-organized critical model. For the avalanche size exponent tau an analysis of the effect of the external drive and the boundary conditions is required.

[1]  K. Christensen.  On self-organised criticality in one dimension , 2004 .

[2]  H. Jensen,et al.  Anisotropy and universality: the Oslo model, the rice pile experiment, and the quenched Edwards-Wilkinson equation. , 2003, Physical review letters.

[3]  G. Pruessner.  Oslo rice pile model is a quenched Edwards-Wilkinson equation. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  H. Hinrichsen.  Non-equilibrium critical phenomena and phase transitions into absorbing states , 2000, cond-mat/0001070.

[5]  M. A. Muñoz,et al.  Paths to self-organized criticality , 1999, cond-mat/9910454.

[6]  A. Malthe‐Sørenssen.  Tilted sandpiles, interface depinning, and earthquake models , 1999 .

[7]  C. Tebaldi,et al.  Rare events and breakdown of simple scaling in the abelian sandpile model , 1998, cond-mat/9805045.

[8]  Henrik Jeldtoft Jensen,et al.  Self-Organized Criticality , 1998 .

[9]  Alessandro Vespignani,et al.  Order parameter and scaling fields in self-organized criticality , 1996, cond-mat/9612158.

[10]  Paczuski,et al.  Universality in Sandpiles, Interface Depinning, and Earthquake Models. , 1996, Physical review letters.

[11]  Christensen,et al.  Tracer Dispersion in a Self-Organized Critical System. , 1996, Physical review letters.

[12]  V. Frette,et al.  Avalanche dynamics in a pile of rice , 1996, Nature.

[13]  Tang,et al.  Self-organized criticality. , 1988, Physical review. A, General physics.

[14]  Per Bak,et al.  Mean field theory of self-organized critical phenomena , 1988 .

[15]  F. Wegner.  Corrections to scaling laws , 1972 .