7 May 2003 Derivation of 1/f noise from resonances
Author Affiliations +
Proceedings Volume 5114, Noise in Complex Systems and Stochastic Dynamics; (2003) https://doi.org/10.1117/12.500115
Event: SPIE's First International Symposium on Fluctuations and Noise, 2003, Santa Fe, New Mexico, United States
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.
© (2003) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Sungyun Kim, Sungyun Kim, Gonzalo E. Ordonez, Gonzalo E. Ordonez, "Derivation of 1/f noise from resonances", Proc. SPIE 5114, Noise in Complex Systems and Stochastic Dynamics, (7 May 2003); doi: 10.1117/12.500115; https://doi.org/10.1117/12.500115

Back to Top