Stochastic Coefficient of Restitution - a New Approach to the Dynamics of Granular Media

TL;DR

This paper introduces a stochastic model for the coefficient of restitution in granular media, analyzing energy dissipation and proposing a hybrid simulation algorithm combining event-driven and Monte Carlo methods.

Contribution

It presents a novel stochastic approach to the coefficient of restitution and a new simulation algorithm for granular media dynamics.

Findings

Distribution of the coefficient of restitution can be exactly calculated.

The system exhibits specific equipartition properties.

The proposed algorithm improves simulation efficiency.

Abstract

We consider a one-dimensional "gas" of inelastically colliding particles where kinetic energy is dissipated by the excitation of vibrational degrees of freedom. In our model the coefficient of restitution is a stochastic quantity whose distribution can be calculated from an exact stochastic equation of motion. We investigate the equipartition properties of the system and propose a new algorithm for computer simulations, that is a combination of event-driven and Monte-Carlo methods.