567 citations · 1.3k across the 16 of their papers we have counts for
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Probing Dynamics of Single Molecules: Non-linear Spectroscopy Approach
F. Shikerman, E. Barkai
A two level model of a single molecule undergoing spectral diffusion dynamics and interacting with a sequence of two short laser pulses is investigated. Analytical solution for the…
Pesin-Type Identity for Weak Chaos
Nickolay Korabel, Eli Barkai
Pesin's identity provides a profound connection between entropy (statistical mechanics) and the Lyapunov exponent (chaos theory). It is well known that many systems ex…
Random Time-Scale Invariant Diffusion and Transport Coefficients
Y. He, S. Burov, R. Metzler +1
Single particle tracking of mRNA molecules and lipid granules in living cells shows that the time averaged mean squared displacement of individual particles remain…
Weakly non-ergodic Statistical Physics
Adi Rebenshtok, Eli Barkai
We find a general formula for the distribution of time averaged observables for weakly non-ergodic systems. Such type of ergodicity breaking is known to describe certain systems wh…
Fractional Langevin Equation: Over-Damped, Under-Damped and Critical Behaviors
S. Burov, E. Barkai
The dynamical phase diagram of the fractional Langevin equation is investigated for harmonically bound particle. It is shown that critical exponents mark dynamical transitions in t…