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Proceedings Paper

Derivation of 1/f noise from resonances
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Paper Abstract

We study non-interacting particles in a small subsystem which is weakly coupled to a reservoir. We show that this class of systems can be mapped into an extended form of the Friedrichs model. We derive from the Hamiltonian dynamics that the number fluctuation in a subsystem is 1/f or 1/fβ noise. We show that this effect comes from the sum of resonances.

Paper Details

Date Published: 7 May 2003
PDF: 12 pages
Proc. SPIE 5114, Noise in Complex Systems and Stochastic Dynamics, (7 May 2003); doi: 10.1117/12.500115
Show Author Affiliations
Sungyun Kim, Univ. of Texas at Austin (United States)
Gonzalo E. Ordonez, Univ. of Texas at Austin (United States)
International Solvay Institutes for Physics and Chemistry (Belgium)

Published in SPIE Proceedings Vol. 5114:
Noise in Complex Systems and Stochastic Dynamics
Lutz Schimansky-Geier; Derek Abbott; Alexander Neiman; Christian Van den Broeck, Editor(s)

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