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

Source: [Residence time statistics for $N$ blinking quantum dots and other stochastic processes](<https://www.sota2.com/research/paper/68fa2c551e209131ce84efaf>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T15:16:47.266Z

Authors: S. Burov, E. Barkai

Published: 2011-03-06T17:04:05.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1103.1142>)

[PDF](<https://arxiv.org/pdf/1103.1142.pdf>)