TY - JOUR

T1 - Extremal collision sequences of particles on a line

T2 - Optimal transmission of kinetic energy

AU - Pöscliel, Thorsten

AU - Brilliantov, Nikolai V.

PY - 2001

Y1 - 2001

N2 - The transmission of kinetic energy through chains of inelastically colliding spheres is investigated for the case of constant coefficient of restitution ∈=const and impact-velocity-dependent coefficient ∈(v) for viscoelastic particles. We derive a theory for the optimal distribution of particle masses which maximize the energy transfer along the chain and check it numerically. We found that for ∈=const, the mass distribution is a monotonous function which does not depend on the value of ∈. In contrast, for ∈(v) the mass distribution reveals a pronounced maximum, depending on the particle properties and on the chain length. The system investigated demonstrates that even for small and simple systems, the velocity dependence of the coefficient of restitution may lead to new effects with respect to the same systems under the simplifying approximation ∈=const.

AB - The transmission of kinetic energy through chains of inelastically colliding spheres is investigated for the case of constant coefficient of restitution ∈=const and impact-velocity-dependent coefficient ∈(v) for viscoelastic particles. We derive a theory for the optimal distribution of particle masses which maximize the energy transfer along the chain and check it numerically. We found that for ∈=const, the mass distribution is a monotonous function which does not depend on the value of ∈. In contrast, for ∈(v) the mass distribution reveals a pronounced maximum, depending on the particle properties and on the chain length. The system investigated demonstrates that even for small and simple systems, the velocity dependence of the coefficient of restitution may lead to new effects with respect to the same systems under the simplifying approximation ∈=const.

UR - http://www.scopus.com/inward/record.url?scp=33744892955&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.63.021505

DO - 10.1103/PhysRevE.63.021505

M3 - Article

C2 - 11308496

AN - SCOPUS:4243442054

VL - 63

SP - 215051

EP - 215059

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

IS - 2 I

M1 - 021505

ER -