80 citations · 213 across the 7 of their papers we have counts for
8 papers · 1 filter
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…
A Stochastic Theory of Single Molecule Spectroscopy
YounJoon Jung, Eli Barkai, Robert J. Silbey
A theory is formulated for time dependent fluctuations of the spectrum of a single molecule in a dynamic environment. In particular, we investigate the photon counting statistics o…
Photon Counting Statistics for Single Molecule Spectroscopy
Eli Barkai, YounJoon Jung, Robert Silbey
We present a general relation between Mandel's parameter describing variance of number of photons emitted from a single molecule and a three time correlation function describin…