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

TL;DR

This paper introduces a new quenched substrate generated by kinetic self-avoiding trails and studies the sandpile model on it, finding behavior similar to the well-known BTW model with multiscaling properties.

Contribution

The study presents a novel method to generate quenched substrates using kinetic self-avoiding trails and analyzes the sandpile model's behavior on this substrate.

Findings

Model behaves similarly to the multiscaling BTW model.

Asymmetric toppling matrices with precise balance are used.

Numerical results show consistent behavior with established models.

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.