567 citations · 1.3k across the 16 of their papers we have counts for
5 papers · 2 filters
A Random Walk to a Non-Ergodic Equilibrium Concept
Golan Bel, Eli Barkai
Random walk models, such as the trap model, continuous time random walks, and comb models exhibit weak ergodicity breaking, when the average waiting time is infinite. The open ques…
Power Law Blinking Quantum Dots: Stochastic and Physical Models
Gennady Margolin, Vladimir Protasenko, Masaru Kuno +1
We quantify nonergodic and aging behaviors of nanocrystals (or quantum dots) based on stochastic model. Ergodicity breaking is characterized based on time average intensity and tim…
Single Molecule Chemical Reaction: Kramers Approach Revisited
Gennady Margolin, Eli Barkai
Single molecule chemical reactions yield new insight into fluctuation phenomena which are obscured in measurement of ensemble of molecules. Kramers escape problem is investigated h…
Nonergodisity of a time series obeying Lévy statistics
Gennady Margolin, Eli Barkai
Time-averaged autocorrelation functions of a dichotomous random process switching between 1 and 0 and governed by wide power law sojourn time distribution are studied. Such a proce…
Stochastic Ergodicity Breaking: a Random Walk Approach
Golan Bel, Eli Barkai
The continuous time random walk (CTRW) model exhibits a non-ergodic phase when the average waiting time diverges. Using an analytical approach for the non-biased and the uniformly…