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Related Experiment Videos

Collision of one-dimensional nonlinear chains.

Shin-Ichiro Nagahiro1, Yoshinori Hayakawa

  • 1Department of Physics, Tohoku University, Sendai, Japan.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 12, 2003
PubMed
Summary

The coefficient of restitution (COR) in unharmonic chain collisions with a wall depends on impact velocity, showing a minimum at a specific speed. This velocity dependence is linked to the interparticle potential energy

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Area of Science:

  • Physics
  • Materials Science
  • Condensed Matter Physics

Background:

  • Unharmonic chains exhibit complex dynamics under impact.
  • The coefficient of restitution (COR) quantifies energy loss during collisions.

Purpose of the Study:

  • To investigate the velocity dependence of COR for one-dimensional unharmonic chains colliding with a rigid wall.
  • To derive a theoretical relationship for low-velocity collisions.

Main Methods:

  • Numerical simulations of one-dimensional unharmonic chains impacting a rigid wall.
  • Perturbation methods applied to analyze low-velocity collision dynamics.

Main Results:

  • The COR is strongly dependent on the collision velocity.
  • A minimum COR value was observed at a specific impact velocity.
  • The velocity dependence is characterized by the exponent of the lowest unharmonic term in the interparticle potential.

Conclusions:

  • The study reveals a non-trivial velocity dependence of COR in unharmonic chain collisions.
  • Theoretical derivation provides insights into the underlying mechanics of energy dissipation.

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