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Residence time statistics for $N$ blinking quantum dots and other stochastic processes

Abstract

We present a study of residence time statistics for $N$ blinking quantum dots. With numerical simulations and exact calculations we show sharp transitions for a critical number of dots. In contrast to expectation the fluctuations in the limit of $N \to \infty$ are non-trivial. Besides quantum dots our work describes residence time statistics in several other many particle systems for example $N$ Brownian particles. Our work provides a natural framework to detect non-ergodic kinetics from measurements of many blinking chromophores, without the need to reach the single molecule limit

Topics: Condensed Matter - Statistical Mechanics, Condensed Matter - Disordered Systems and Neural Networks
Year: 2011
DOI identifier: 10.1103/PhysRevLett.107.170601
OAI identifier: oai:arXiv.org:1103.1142