Conditional entropic approach to nonequilibrium complex systems with weak fluctuation correlation

TL;DR

This paper introduces a conditional entropic framework for analyzing nonequilibrium complex systems with weak correlations, exemplified through biological diffusion processes, providing new insights into fluctuation distributions.

Contribution

It proposes a novel entropic approach to model weakly correlated fluctuations in nonequilibrium systems, with applications to biological diffusion phenomena.

Findings

Weak correlations determine the fluctuation distribution that maximizes entropy.

The approach successfully models protein diffusion inside bacteria.

Potential applications extend to membraneless organelles and cell extract beads.

Abstract

A conditional entropic approach is discussed for nonequilibrium complex systems with a weak correlation between spatiotemporally fluctuating quantities on a large time scale. The weak correlation is found to constitute the fluctuation distribution that maximizes the entropy associated with the conditional fluctuations. The approach is illustrated in diffusion phenomenon of proteins inside bacteria. A further possible illustration is also presented for membraneless organelles in embryos and beads in cell extracts, which share common natures of fluctuations in their diffusion.