English

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

Statistical Mechanics 2013-05-29 v1 Disordered Systems and Neural Networks

Abstract

We present a study of residence time statistics for NN 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 NN \to \infty are non-trivial. Besides quantum dots our work describes residence time statistics in several other many particle systems for example NN 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.

Cite

@article{arxiv.1103.1142,
  title  = {Residence time statistics for $N$ blinking quantum dots and other stochastic processes},
  author = {S. Burov and E. Barkai},
  journal= {arXiv preprint arXiv:1103.1142},
  year   = {2013}
}
R2 v1 2026-06-21T17:35:45.395Z