The effects of anomalous diffusion on power-law blinking statistics of CdSe nanorods.
In this study of fluorescence blinking statistics for nanorods, we present a diffusion-controlled reaction model that leads to a more general formula: t(-m) exp[-(Gammat)(n)]. This formula describes a short-time power law with a crossover to a stretched exponential decay at later times. Based on quantum Brownian motion for a coupled central harmonic oscillator coupled to heat bath oscillators, we show that the position distribution follows anomalous diffusion with time-dependent diffusion coefficient and drift coefficient. The first and the second moments of the energy fluctuations are shown to be related to the exponent m and n for the blinking statistics.
Tang
Jau
J
Research Center for Applied Sciences, Academia Sinica, Taipei 115, Taiwan. jautang@gate.sinica.edu.tw
D019187:Cadmium Compounds / Q000737:chemistry*; D002627:Chemistry, Physical / Q000379:methods; D004058:Diffusion; D004581:Electronics; D015233:Models, Statistical; D008962:Models, Theoretical; D053758:Nanoparticles / Q000737:chemistry; D036103:Nanotechnology / Q000379:methods; D043942:Nanotubes / Q000737:chemistry*; D016011:Normal Distribution; D009991:Oscillometry / Q000379:methods; D018036:Selenium Compounds / Q000737:chemistry*; D013997:Time Factors
D019187:Cadmium Compounds; D018036:Selenium Compounds; C058667:cadmium selenide