Entropy bound for time reversal markers

• DOI: 10.3389/fphy.2023.1331835
• Publication Date: 2024-02-02T10:06:36Z
• Authors: Gabriel Knotz; Till Moritz Muenker; Timo Betz; Matthias Krüger
• Keywords: Statistical Mechanics (cond-mat.stat-mech); Materials Science (miscellaneous); Physics; QC1-999; Biophysics; General Physics and Astronomy; FOS: Physical sciences; statistical physics; Condensed Matter - Soft Condensed Matter; entropy production; 01 natural sciences; non-equilibrium; coarse graining; 0103 physical sciences; Soft Condensed Matter (cond-mat.soft); detailed balance breakage; Physical and Theoretical Chemistry; fluctuation theorems; Mathematical Physics; Condensed Matter - Statistical Mechanics

We derive a bound for entropy production in terms of the mean normalizable path-antisymmetric observables. The optimal observable this is shown to be signum production, which often easier determined or estimated than itself. It can preserved under coarse graining by use simple path grouping algorithm. demonstrate relation and its properties using driven network on ring, saturates short times any driving strength. This work open way systematic production.