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- Tel Aviv UniversityIL181 papers
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10 papers · 2 filters
Non-normalizable densities in strong anomalous diffusion: beyond the central limit theorem
A. Rebenshtok, S. Denisov, P. Hanggi +1
Strong anomalous diffusion, where with a nonlinear spectrum $ν(q) \neq \mbox{const}$, is wide spread and has been found in various nonlin…
1/f noise for intermittent quantum dots exhibits non-stationarity and critical exponents
Sanaz Sadegh, Eli Barkai, Diego Krapf
The power spectrum of quantum dot fluorescence exhibits noise, related to the intermittency of these nanosystems. As in other systems exhibiting noise, this power spe…
Scaling Green-Kubo relation and application to three aging systems
A. Dechant, E. Lutz, D. A. Kessler +1
The Green-Kubo formula relates the spatial diffusion coefficient to the stationary velocity autocorrelation function. We derive a generalization of the Green-Kubo formula valid for…
Numerical estimate of infinite invariant densities: application to Pesin-type identity
Nickolay Korabel, Eli Barkai
Weakly chaotic maps with unstable fixed points are investigated in the regime where the invariant density is non-normalizable. We propose that the infinite invariant density of the…
A no-go theorem for ergodicity and an Einstein relation
D. Froemberg, E. Barkai
We provide a simple no-go theorem for ergodicity and the generalized Einstein relation for anomalous diffusion processes. The theorem states that either ergodicity in the sense of…
Noisy continuous time random walks
Jae-Hyung Jeon, Eli Barkai, R. Metzler
Experimental studies of the diffusion of biomolecules in the environment of biological cells are routinely confronted with multiple sources of stochasticity, whose identification r…