Exactly Solved Model of Self-Organized Criticality

Sergei Maslov and Yi-Cheng Zhang
Phys. Rev. Lett. 75, 1550 – Published 21 August 1995
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Abstract

We introduce and solve an anisotropic model of self-organized criticality. The exponents are τ=4/3, D=3/2, ν=2, df=1/2, z=1, and θ=1. This model is related to one-dimensional anisotropic interface depinning in a quenched random medium. Another anisotropic interface model, different from the first one in the realization of quenched disorder, is shown numerically to belong to the same universality class as the first one.

  • Received 2 May 1995

DOI:https://doi.org/10.1103/PhysRevLett.75.1550

©1995 American Physical Society

Authors & Affiliations

Sergei Maslov1 and Yi-Cheng Zhang2

  • 1Institut de Physique Théorique, Université de Fribourg, CH-1700, Switzerland
  • 2Department of Physics, Brookhaven National Laboratory, Upton, New York 11973

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Vol. 75, Iss. 8 — 21 August 1995

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