Stagnant motion in chaotic region of mushroom billiard system with dielectric medium

Satoru Tsugawa, Yoj Aizawa

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Generic hamiltonian systems often exhibit slow dynamics. The origin of the slow behavior is thought to be from the stagnant motion in the neighborhood of the outermost Kolmogorov-Arnold-Moser (KAM) tori. We investigate the onset mechanism of such slow dynamics by using a mushroom billiard with a dielectric medium. Bifurcation processes are precisely studied in the vicinity of the outermost KAM tori when the refraction index of the dielectric medium is changed smoothly, and it is shown that the stagnant motion is generated near singular points in the chaotic sea. There are two types of stagnant aspects coexisting in the generic case, for which the distributions of the escape time of stagnant motion are theoretically determined.

Original languageEnglish
Article number064004
JournalJournal of the Physical Society of Japan
Volume81
Issue number6
DOIs
Publication statusPublished - 2012 Jun

Keywords

  • Hamiltonian system
  • Infinite accumulation point
  • Mushroom billiard
  • Stagnant motion

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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