37th M. Smoluchowski Symposium on Statistical Physics

Conditional approach to weak fluctuation correlation in nonequilibrium complex systems

16 Sept 2024, 12:40

20m

Faculty of Physics, Astronomy and Applied Computer Science; Jagiellonian University

Regular talk Session 2

Speaker

Yuichi Itto (Aichi Institute of Technology, Japan; ICP, Universität Stuttgart, Germany)

Description

Nonequilibrium complex systems often exhibit a hierarchical structure of different dynamics on different time scales. The statistical nature of spatiotemporal fluctuations relevant to the dynamics is known to be of central importance for treating a wide class of such systems. Maximum entropy principle has been the crux for describing the fluctuation distribution in the literature, beyond the equilibrium systems.
Here, a conditional entropic approach [1] is developed for nonequilibrium complex systems characterized by two slow dynamics with a weak correlation between fluctuations. The conditional fluctuation distribution is found to be governed by the weak correlation in a unified way. The result is demonstrated in heterogeneous diffusion in living cells: DNA-binding proteins in bacteria [2,3], membraneless organelles in embryos [4], and beads in cell extracts [5].

References
[1] Y. Itto, Entropy, 25, 556 (2023).
[2] A.A. Sadoon and Y. Wang, Phys. Rev. E, 98, 042411 (2018).
[3] Y. Itto and C. Beck, J. Royal Society Interface, 18, 20200927 (2021).
[4] R. Benelli and M. Weiss, New J. Phys., 23, 063072 (2021).
[5] K. Speckner and M. Weiss, Entropy, 23, 892 (2021).