Memory and renewal aging of strong earthquakes in Hellenic seismicity

Iliopoulos, A. C.; Chorozoglou, D.; Kourouklas, Christos; Mangira, Ourania; Papadimitriou, Eleftheria

doi:10.1016/j.chaos.2019.109511

Cited by 5 publications

(1 citation statement)

References 22 publications

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“…The marginal distribution of the Brownian particle is written as a superposition of the statistics describing the local Brownian motion on a short time scale (where inverse temperature is locally fixed) with respect to the statistics associated with slowly fluctuating inverse temperatures on a long time scale. The superstatistical idea has been widely used for a variety of complex systems/ phenomena organized by different dynamics with such a separation of time scales (see [26] for a review and [27][28][29][30][31][32][33] for very recent developments). Among others, the discussions in [7,34,35] are suitable for biological application: in the former [7], a fluctuating quantity is the diffusion constant, whereas it is the diffusion exponent in the latter [34,35].…”

Section: Two-variable Superstatistical Treatmentmentioning

confidence: 99%

Superstatistical modelling of protein diffusion dynamics in bacteria

Itto

Beck

2021

J. R. Soc. Interface.

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A recent experiment (Sadoon AA, Wang Y. 2018 Phys. Rev. E 98 , 042411. ( doi:10.1103/PhysRevE.98.042411 )) has revealed that nucleoid-associated proteins (i.e. DNA-binding proteins) exhibit highly heterogeneous diffusion processes in bacteria where not only the diffusion constant but also the anomalous diffusion exponent fluctuates for the various proteins. The distribution of displacements of such proteins is observed to take a q -Gaussian form, which decays as a power law. Here, a statistical model is developed for the diffusive motion of the proteins within the bacterium, based on a superstatistics with two variables. This model hierarchically takes into account the joint fluctuations of both the anomalous diffusion exponents and the diffusion constants. A fractional Brownian motion is discussed as a possible local model. Good agreement with the experimental data is obtained.

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