Coefficient of restitution and linear–dashpot model revisited

Granular Matter - 2007
Thomas Schwager1, Thorsten Pöschel2
1Charité, Berlin, Germany
2Physikalisches Institut, Universität Bayreuth, Bayreuth (Germany)

Tóm tắt

With the assumption of a linear–dashpot interaction force, the coefficient of restitution, $$\varepsilon_d^0(k, \gamma)$$ , can be computed as a function of the elastic and dissipative material constants, k and γ by integrating Newton’s equation of motion for an isolated pair of colliding particles. If we require further that the particles interact exclusively repulsive, which is a common assumption in granular systems, we obtain an expression $$\varepsilon_d(k, \gamma)$$ which differs even qualitatively from the known result $$\varepsilon_d^0(k, \gamma)$$ . The expression $$\varepsilon_d(k, \gamma)$$ allows to relate Molecular Dynamics simulations to event-driven Molecular Dynamics for a widely used collision model.

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Granular Matter

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