Exponential energy growth in adiabatically changing Hamiltonian systems

Tiago Pereira, Dmitry Turaev

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

We show that the mixed phase space dynamics of a typical smooth Hamiltonian system universally leads to a sustained exponential growth of energy at a slow periodic variation of parameters. We build a model for this process in terms of geometric Brownian motion with a positive drift, and relate it to the steady entropy increase after each period of the parameters variation.

Original languageEnglish
Article number010901
JournalPhysical Review E
Volume91
Issue number1
DOIs
StatePublished - 9 Jan 2015
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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