Chaotic systems with absorption

Altmann, Eduardo G. and Portela, Jefferson S. E. and Tél, Tamás (2013) Chaotic systems with absorption. PHYSICAL REVIEW LETTERS, 111 (14). 144101/1-5. ISSN 0031-9007

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Motivated by applications in optics and acoustics we develop a dynamical-system approach to describe absorption in chaotic systems. We introduce an operator formalism from which we obtain (i) a general formula for the escape rate κ in terms of the natural conditionally invariant measure of the system, (ii) an increased multifractality when compared to the spectrum of dimensions Dq obtained without taking absorption and return times into account, and (iii) a generalization of the Kantz-Grassberger formula that expresses D1 in terms of κ, the positive Lyapunov exponent, the average return time, and a new quantity, the reflection rate. Simulations in the cardioid billiard confirm these results.

Item Type: Article
Uncontrolled Keywords: Absorption spectroscopy ; Lyapunov methods ; Chaotic systems ; Return-times ; Reflection rates ; Multifractality ; Lyapunov exponent ; Invariant measure ; General formulas ; Escape rate
Subjects: Q Science / természettudomány > QC Physics / fizika
Depositing User: MTMT SWORD
Date Deposited: 30 Apr 2014 12:08
Last Modified: 30 Apr 2014 13:46

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