5 papers
Particle-hole symmetry in a sandpile model
R. Karmakar, S. S. Manna
In a sandpile model addition of a hole is defined as the removal of a grain from the sandpile. We show that hole avalanches can be defined very similar to particle avalanches. A co…
Sandpile model on an optimized scale-free network on Euclidean space
R. Karmakar, S. S. Manna
Deterministic sandpile models are studied on a cost optimized Barabási-Albert (BA) scale-free network whose nodes are the sites of a square lattice. For the optimized BA network, t…
Sandpile model on a quenched substrate generated by kinetic self-avoiding trails
R. Karmakar, S. S. Manna
Kinetic self-avoiding trails are introduced and used to generate a substrate of randomly quenched flow vectors. Sandpile model is studied on such a substrate with asymmetric toppli…
Directed Fixed Energy Sandpile Model
R. Karmakar, S. S. Manna
We numerically study the directed version of the fixed energy sandpile. On a closed square lattice, the dynamical evolution of a fixed density of sand grains is studied. The activi…
Precise toppling balance, quenched disorder, and universality for sandpiles
R. Karmakar, S. S. Manna, A. L. Stella
A single sandpile model with quenched random toppling matrices captures the crucial features of different models of self-organized criticality. With symmetric matrices avalanche st…