662 citations · 7.3k across the 132 of their papers we have counts for
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Deviations from Boltzmann-Gibbs equilibrium in confined optical lattices
Andreas Dechant, David A. Kessler, Eli Barkai
Cold atoms in dissipative optical lattices have long been known to exhibit anomalous kinetics due to an effective nonlinear friction force. Here we show that confining the spatial…
Fractional Edgeworth Expansion: Corrections to the Gaussian-Lévy Central Limit Theorem
Netanel Hazut, Shlomi Medalion, David A. Kessler +1
In this article we generalize the classical Edgeworth expansion for the probability density function (PDF) of sums of a finite number of symmetric independent identically distribut…
Asymptotic densities of ballistic Lévy walks
D. Froemberg, M. Schmiedeberg, E. Barkai +1
We propose an analytical method to determine the shape of density profiles in the asymptotic long time limit for a broad class of coupled continuous time random walks which operate…
Fluctuations around equilibrium laws in ergodic continuous-time random walks
Johannes H. P. Schulz, Eli Barkai
We study occupation time statistics in ergodic continuous-time random walks. Under thermal detailed balance conditions, the average occupation time is given by the Boltzmann-Gibbs…
Infinite densities for Lévy walks
Adi Rebenshtok, Sergey Denisov, Peter Hanggi +1
Motion of particles in many systems exhibits a mixture between periods of random diffusive like events and ballistic like motion. In many cases, such systems exhibit strong anomalo…
Localization and universal fluctuations in ultraslow diffusion processes
Aljaz Godec, Aleksei V. Chechkin, Eli Barkai +2
We study ultraslow diffusion processes with logarithmic mean squared displacement (MSD) . Comparison of annealed continuous time random walks (C…