LATTICE MODEL FOR THE CALCULATION OF THE ANGLE OF REPOSE FROM MICROSCOPIC GRAIN PROPERTIES

We study a simple lattice model for granular heap, which aims at calcu lating the macroscopic angle of repose from the microscopic grain prop erties. The model includes the effects of dissipation of the energy in the particle-particle collisions, and sticking of the particles to th e pile. We obtain that, due to the discretization of the space, the an gle of repose of the pile behaves as a complete devils staircase as a function of the model parameters. We present numerical and analytical considerations which characterize the properties of this staircase.