Sandpile model on a quenched substrate generated by kinetic self-avoiding trails

Abstract

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 toppling matrices where the precise balance between the net outflow of grains from a toppling site and the total inflow of grains to the same site when all its neighbors topple once is maintained at all sites. Within numerical accuracy this model behaves in the same way as the multiscaling BTW model.

Four pages, five figures

References in corpus (8)

• Multifractal scaling in the Bak-Tang-Wiesenfeld Sandpile and edge events
• Universality in Sandpile Models
• Universality in sandpiles
• Rare events and breakdown of simple scaling in the Abelian sandpile
• Scaling of waves in the Bak-Tang-Wiesenfeld sandpile model
• Moment analysis of the probability distributions of different sandpile models
• Studying Self-Organized Criticality with Exactly Solved Models
• From waves to avalanches: two different mechanisms of sandpile dynamics

Cited by in corpus (4)

• Characteristics of Deterministic and Stochastic Sandpile Models in a Rotational Sandpile Model
• Inhomogeneous sandpile model: Crossover from multifractal scaling to finite size scaling
• Coupling of $c=-2$ and $c=\frac{1}{2}$ and $c=0$ conformal field theories: The geometrical point of view
• Abelian deterministic self organized criticality model: Complex dynamics of avalanche waves