Renewal, Modulation and Blinking Quantum Dots - Anotrans更新，调制和闪烁的量子点- anotrans.pptVIP

Aging in Blinking Quantum Dots: Renewal or Slow Modulation ? P. Paradisi Institute of Atmospheric Sciences and Climate (CNR), Lecce Unit S. Bianco Center for Nonlinear Sciences, University of North Texas P. Grigolini, Institute of Chemical and Physical Processes (CNR), Pisa Center for Nonlinear Sciences, University of North Texas Department of Physics, Pisa University Outline Renewal processes an example: the Manneville Map Renewal Aging How can we evaluate the amount of Renewal Aging in a time series ? Renewal Aging in Modulation processes Application to Blinking Quantum Dots: renewal or slow modulation ? Renewal Processes Stochastic process with: - recurrent (critical) events associated with some pattern of the system variables - Waiting Times (WTs) are mutually independent random variables - WT = time interval between two critical events D.R. Cox, Renewal Theory, Chapman and Hall, London (1962) Poisson processes: exponential distribution of WTs Interesting case: power-law tail in the distribution of WTs (Non-Poisson renewal processes) Example: Manneville Map Renewal Aging Manneville-type stochastic model (z 1) Aging in Renewal Processes is related to the time evolution of p(y,t) Starting observation at time ta implies observing an aged WT statisticsPossibility of using this property as an indicator of “Renewal Aging” Important Facts Poisson processes have zero renewal aging Non-zero Renewal aging for Non-Poisson renewal processes Dependence on the distribution of WTs Approximate analytical results available for Pareto (power-law) distribution of WTs Description of the method Definition of critical events in the time series WTs sequence WTs are correlated ? YES no renewal theory NO ?? There’s some chance of having a (Non-Poisson) renewal process Compute hystogram of WTs: Modulation Processes Slow Modulation of a Poisson process Application to BQDs Laser stimulation → ON-OFF inter