Irreversibility in dynamical phases and transitions

Daniel S. Seara (), Benjamin B. Machta () and Michael P. Murrell ()
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Daniel S. Seara: Yale University
Benjamin B. Machta: Yale University
Michael P. Murrell: Yale University

Nature Communications, 2021, vol. 12, issue 1, 1-9

Abstract: Abstract Living and non-living active matter consumes energy at the microscopic scale to drive emergent, macroscopic behavior including traveling waves and coherent oscillations. Recent work has characterized non-equilibrium systems by their total energy dissipation, but little has been said about how dissipation manifests in distinct spatiotemporal patterns. We introduce a measure of irreversibility we term the entropy production factor to quantify how time reversal symmetry is broken in field theories across scales. We use this scalar, dimensionless function to characterize a dynamical phase transition in simulations of the Brusselator, a prototypical biochemically motivated non-linear oscillator. We measure the total energetic cost of establishing synchronized biochemical oscillations while simultaneously quantifying the distribution of irreversibility across spatiotemporal frequencies.

Date: 2021
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DOI: 10.1038/s41467-020-20281-2

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