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

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

2006-10-06

arxiv.org/abs/nlin/0610013v2

EPL 80 (2007) 40001

Nonlinear Sciences

Chaotic Dynamics

Originally 4 pages and 2 eps figures incorporated into the text; v2 has more numerical results and discussion: now 6 pages, 4

Scientific paper

10.1209/0295-5075/80/40001

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.

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