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10 papers · 2 filters
Time transformation for random walks in the quenched trap model
S. Burov, E. Barkai
Diffusion in the quenched trap model is investigated with an approach we call weak subordination breaking. We map the problem onto Brownian motion and show that the operational tim…
Quantum structural phase transition in chains of interacting atoms
Efrat Shimshoni, Giovanna Morigi, Shmuel Fishman
A quasi one--dimensional system of trapped, repulsively interacting atoms (e.g., an ion chain) exhibits a structural phase transition from a linear chain to a zigzag structure, tun…
The Birth-Death-Mutation process: a new paradigm for fat tailed distributions
Yosef E. Maruvka, David A. Kessler, Nadav M. Shnerb
Fat tailed statistics and power-laws are ubiquitous in many complex systems. Usually the appearance of of a few anomalously successful individuals (bio-species, investors, websites…
Single particle tracking in systems showing anomalous diffusion: the role of weak ergodicity breaking
Stas Burov, Jae-Hyung Jeon, Ralf Metzler +1
Anomalous diffusion has been widely observed by single particle tracking microscopy in complex systems such as biological cells. The resulting time series are usually evaluated in…
In vivo anomalous diffusion and weak ergodicity breaking of lipid granules
Jae-Hyung Jeon, Vincent Tejedor, Stas Burov +5
Combining extensive single particle tracking microscopy data of endogenous lipid granules in living fission yeast cells with analytical results we show evidence for anomalous diffu…
Quantum zigzag transition in ion chains
Efrat Shimshoni, Giovanna Morigi, Shmuel Fishman
A string of trapped ions at zero temperature exhibits a structural phase transition to a zigzag structure, tuned by reducing the transverse trap potential or the interparticle dist…