Peeping at chaos: Nondestructive monitoring of chaotic systems by measuring longtime escape rates
Abstract
One or more small holes provide nondestructive 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.
 Publication:

EPL (Europhysics Letters)
 Pub Date:
 November 2007
 DOI:
 10.1209/02955075/80/40001
 arXiv:
 arXiv:nlin/0610013
 Bibcode:
 2007EL.....8040001B
 Keywords:

 Nonlinear Sciences  Chaotic Dynamics
 EPrint:
 Originally 4 pages and 2 eps figures incorporated into the text