Equipartition of energy in a helix

Yaswanth Sai Jetti, Martin Ostoja-Starzewski

Research output: Contribution to journalArticlepeer-review

Abstract

It is well known that the kinetic and potential energies of a system governed by a linear wave equation are equipartitioned in a finite time. This result has been extended by previous researchers to several physical settings: elastodynamics, electrodynamics, and micropolar elasticity. In the case of a helix, there is a direct coupling of longitudinal and torsional wave motions due to the structure of constitutive relations. Providing that the initial conditions functions have compact support, we demonstrate that the equipartition phenomenon occurs after a finite time in this case as well—i.e. the potential energy and the kinetic energy of a helix become equal and remain constant after a finite time.

Original languageEnglish (US)
Pages (from-to)562-572
Number of pages11
JournalMathematics and Mechanics of Solids
Volume28
Issue number2
DOIs
StatePublished - Feb 2023

Keywords

  • Energy equipartition
  • Paley–Wiener theorem
  • elastodynamics
  • helix
  • wave motion

ASJC Scopus subject areas

  • General Mathematics
  • General Materials Science
  • Mechanics of Materials

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