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A fluctuating environment as a source of periodic modulation

2006/09/30 by Simone Bianco, Paolo Grigolini, Paolo Paradisi
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Diffusion and Search Dynamics #Spectroscopy and Quantum Chemical Studies #cond-mat.soft #cond-mat.stat-mech #stochastic dynamics and bifurcation

paper · pdf · doi:10.1016/j.cplett.2007.03.013

13 pages, 4 figures. Accepted for publication on Chem. Phys. Lett

openalex publication_date 2007/03/13 · arxiv created 2007/03/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the intermittent fluorescence of a single molecule, jumping from the "light on" to the "light off" state, as a Poisson process modulated by a fluctuating environment. We show that the quasi-periodic and quasi-deterministic environmental fluctuations make the distribution of the times of sojourn in the "light off" state depart from the exponential form, and that their succession in time mirrors environmental dynamics. As an illustration, we discuss some recent experimental results, where the environmental fluctuations depend on enzymatic activity.

Citations