Coefficient of restitution of colliding viscoelastic spheres

Rosa Ramírez, Thorsten Pöschel, Nikolai V. Brilliantov, Thomas Schwager

Research output: Contribution to journalArticlepeer-review

283 Citations (Scopus)


We perform a dimension analysis for colliding viscoelastic spheres to show that the coefficient of normal restitution [Formula Presented] depends on the impact velocity g as [Formula Presented] in accordance with recent findings. We develop a simple theory to find explicit expressions for coefficients [Formula Presented] and [Formula Presented] Using these and few next expansion coefficients for [Formula Presented] we construct a Padé approximation for this function which may be used for a wide range of impact velocities where the concept of the viscoelastic collision is valid. The obtained expression reproduces quite accurately the existing experimental dependence [Formula Presented] for ice particles.

Original languageEnglish
Pages (from-to)4465-4472
Number of pages8
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number4
Publication statusPublished - 1999
Externally publishedYes


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