Most avalanching systems in nature should involve diffusive processes as wellwhich can change the behavior of such systems and should be taken into account.We examine the effects of diffusion on the model of a dissipativebi-directional burning model. It is shown that the system behaviorprogressively changes with the increase of diffusion. Avalanches of small sizesbecome suppressed and large quasiperiodic bursts develop. In contrast withsandpiles these bursts are not edge triggered and the transition is gradual.
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