Effect of Phase Dependent Invariants and Ergodicity in Finite-Mode Systems Closely Related with Two-Dimensional Ideal Flow

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3 Citations (Scopus)

Abstract

Statistical equilibrium of two finite-mode systems closely related with two-dimensional ideal flow have been studied extensively. The two systems are an ordinary invis-cid truncated system (ITS) and Zeitlin�s finite-mode analogue (ZFA). The remarkable feature of ZFA is that it has higher-order invariants which are phase dependent. An analytical study suggests that the constraint by these invariants has little effect on the energy spectrum. This is confirmed by extensive numerical calculations. Definite evidence of ergodicity in ITS has been also obtained numerically.

Original languageEnglish
Pages (from-to)2293-2305
Number of pages13
Journaljournal of the physical society of japan
Volume62
Issue number7
DOIs
Publication statusPublished - 1993 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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