Regensburg 2022 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 40: Brownian Motion and Anomalous Diffusion

DY 40.5: Talk

Thursday, September 8, 2022, 11:15–11:30, H20

Superstatistics of protein diffusion dynamics in bacteria — •Yuichi Itto — Aichi Institute of Technology, Aichi, Japan — ICP, Universität Stuttgart, Stuttgart, Germany

In recent years, non-Gaussian normal/anomalous diffusion have experimentally been observed in a wide class of living cells. Superstatistics is a ``statistics of statistics" with two largely separated time scales for treating nonequilibrium complex systems. Here, a superstatistical diffusion theory [1] is presented for obtaining a q-Gaussian displacement distribution decaying as a power law found for heterogeneous diffusion phenomenon of DNA-binding proteins in bacteria [2]. This theory takes into account the joint fluctuations of both the diffusion exponent and the (inverse) temperature, which are hierarchically combined with a fractional Brownian motion describing a local stochastic process of the proteins. Correlation between the fluctuations is also discussed and its weakness is shown to be essential. The results obtained are in a good agreement with the experimental data.

[1] Y. Itto and C. Beck, J. R. Soc. Interface 18, 20200927 (2021).

[2] A.A. Sadoon and Y. Wang, Phys. Rev. E 98, 042411 (2018).