Relaxation and steady-state behavior of an analytically tractable one-dimensional model

Authors

  • Rumelo C. Amor ⋅ PH Faculty of Pharmacy, University of Santo Tomas
  • Jose Perico H. Esguerra ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We study the dynamics of a particle of mass m making a series of collisions with a wall and a movable piston of mass M > m. Using collision matrix methods, we obtain exact analytical results for the evolution of the speeds and kinetic energies of the particle and pistons, as well as the steady-state kinetic energies in relation to mass ratio and restitution coefficients.

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Issue

Article ID

SPP-2006-1C-02

Section

Theoretical and Computational Physics

Published

2006-10-25

How to Cite

[1]
RC Amor and JPH Esguerra, Relaxation and steady-state behavior of an analytically tractable one-dimensional model, Proceedings of the Samahang Pisika ng Pilipinas 24, SPP-2006-1C-02 (2006). URL: https://proceedings.spp-online.org/article/view/SPP-2006-1C-02.