Bækgaard Lauritsen, KentZapperi, StefanoStanley, H. Eugene2020-04-012020-04-011996-09-01Kent Bækgaard Lauritsen, Stefano Zapperi, H. Eugene Stanley. 1996. "Self-organized branching processes: Avalanche models with dissipation." PHYSICAL REVIEW E, Volume 54, Issue 3, pp. 2483 - 2488. 10.1103/PhysRevE.54.24831063-651Xhttps://hdl.handle.net/2144/39919We explore, in the mean-field approximation, robustness with respect to dissipation of self-organized criticality in sandpile models. To this end, we generalize a recently introduced self-organized branching process, and show that the model self-organizes not into a critical state but rather into a subcritical state: when dissipation is present, the dynamical fixed point does not coincide with the critical point. Thus the level of dissipation acts as a relevant parameter in the renormalization-group sense. We study the model numerically and compute analytically the critical exponents for the avalanche size and lifetime distributions and the scaling exponents for the corresponding cutoffs.pp. 2483 - 2488en-US©1996 American Physical Society.Science & technologyPhysical sciencesPhysics, fluids & plasmasPhysics, mathematicalPhysicsMean-field theoryAbelian sandpile modelCritical behaviorScaling behaviorAutomataEvolutionArticle10.1103/PhysRevE.54.248394810