Angle of Repose and Angle of Marginal Stability: Molecular Dyanmics of Granular Particles

Details Angle of Repose and Angle of Marginal Stability: Molecular Dyanmics of Granular Particles Angle of Repose and Angle of Marginal Stability: Molecular Dyanmics of Granular Particles

1992-11-23

arxiv.org/abs/cond-mat/9211016v1

J.Phys. A26 (1993) 373-384

Physics

Condensed Matter

14 pages, Plain TeX

Scientific paper

10.1088/0305-4470/26/2/021

We present an implementation of realistic static friction in molecular dynamics (MD) simulations of granular particles. In our model, to break contacts between two particles, one has to apply a finite amount of force, determined by the Coulomb criterion. Using a two dimensional model, we show that piles generated by avalanches have a {\it finite} angle of repose $\theta_R$ (finite slopes). Furthermore, these piles are stable under tilting by an angle smaller than a non-zero tilting angle $\theta_T$, showing that $\theta_R$ is different from the angle of marginal stability $\theta_{MS}$, which is the maximum angle of stable piles. These measured angles are compared to a theoretical approximation. We also measure $\theta_{MS}$ by continuously adding particles on the top of a stable pile.

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