Peeping at chaos: nondestructive monitoring of chaotic systems by measuring long-time escape rates

LA Bunimovich, CP Dettmann

Research output: Contribution to journalArticle (Academic Journal)peer-review

36 Citations (Scopus)

Abstract

One or more small holes provide non-destructive windows to observe corresponding closed systems, for example by measuring long time escape rates of particles as a function of hole sizes and positions. To leading order, the escape rate of chaotic systems is proportional to the hole size and independent of position. Here we give exact formulas for the subsequent terms, as sums of correlation functions; these depend on hole size and position, hence yield information on the closed system dynamics. Conversely, the theory can be readily applied to experimental design, for example to control escape rates.
Translated title of the contributionPeeping at chaos: nondestructive monitoring of chaotic systems by measuring long-time escape rates
Original languageEnglish
Article numberArticle no. 40001
Pages (from-to)1 - 6
Number of pages6
JournalEPL
Volume80 (4)
DOIs
Publication statusPublished - Nov 2007

Bibliographical note

Other: arXiv:nlin/0610013

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