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DY: Fachverband Dynamik und Statistische Physik

DY 6: Statistical Physics far from Thermal Equilibrium I

DY 6.3: Talk

Monday, March 18, 2024, 10:15–10:30, BH-N 334

Fluctuations in nonequilibrium complex systems: conditional entropy and weak correlation — •Yuichi Itto — Aichi Institute of Technology, Aichi, Japan — ICP, Universität Stuttgart, Stuttgart, Germany

Nonequilibrium complex systems are often organized hierarchically by different dynamics on different time scales. The statistical property of spatiotemporal fluctuations concerning the dynamics is known to be essential for treating a wide class of such systems. Maximum entropy principle has played a crucial role for describing the statistical fluctuation distribution in the literature, not limited to characterizing the equilibrium systems.

Here, an entropic approach [1] is discussed for describing the conditional distribution in nonequilibrium complex systems with two different dynamics that exhibit a weak correlation between associated fluctuations. It is shown that the conditional fluctuation distribution is governed by the weak correlation in a unified manner. The result is illustrated in heterogeneous diffusion phenomena observed in living cells: DNA-binding proteins in bacteria [2], as well as membraneless organelles in embryos [3] and beads in cell extracts [4] as further possible examples.

References

[1] Y. Itto, Entropy, 25, 556 (2023).

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

[3] R. Benelli and M. Weiss, New J. Phys., 23, 063072 (2021).

[4] K. Speckner and M. Weiss, Entropy, 23, 892 (2021).

Keywords: Conditional entropy; Weak correlation; Fluctuations; Heterogeneous diffusion; Living cells