In this paper we define some stochastic perturbations of the BTW model which make it into Manna model. These models have a continuous parameter p, where p=0 and 1 correspond to the BTW and Manna models respectively. We have investigated the properties of the statistical observables of the waves...

In a model of self-organized criticality unstable sites discharge to just one of their neighbours. For constant discharge ratio α and for a certain range of values of the input energy, avalanches are simple branchless Pólya random walks, and their scaling properties can be derived exactly. If...

We revisit the question whether the critical behavior of sandpile models with sticky grains is in the directed percolation universality class. Our earlier theoretical arguments in favor, supported by evidence from numerical simulations [P.K. Mohanty, D. Dhar, Phys. Rev. Lett. 89 (2002) 104303],...