Ravin Pandey with Harsh Mathur
Dynamics of the q-model
The q-model was introduced by Coppersmith et al. to simulate how force distributes through bead packs. Closely related models have been used to describe river networks, quantum Hall multilayers and other problems of non-equilibrium statistical mechanics. Previous work has shown that the q-model has a critical point, and, close to the critical point, exhibits scaling behavior analogous to thermodynamical critical phenomena. Lewandowska et al. obtained the dynamics of the entire distribution right at the critical point and made a scaling hypothesis about the form of this distribution close to the critical point. In this project we will study the dynamics of the entire distribution of load on a single bead by analytic