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 novel measure of dissipation we term the entropy production factor (EPF) to quantify how time reversal symmetry is broken in field theories across scales. We illustrate the use of this method on simulations of the Brusselator, a prototypical biochemically motivated non-linear oscillator. We find that while the total dissipation does not drastically change as the system undergoes a Hopf bifurcation, the EPF shows a dramatic change in the allocation of energy . The EPF measures how microscopic irreversibility propagates to larger length and time scales and integration through frequency space bounds the net dissipation of stochastic processes.
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 novel measure of dissipation we term the entropy production factor (EPF) to quantify how time reversal symmetry is broken in field theories across scales. We use the EPF to characterize a dynamical phase transition in simulations of the Brusselator, a prototypical biochemically motivated non-linear oscillator. The EPF quantifies the transition of dissipation from local to global coherent oscillations in space and time and integrating it gives a bound on the entropy production rate . The EPF measures how microscopic irreversibility propagates to larger length and time scales and integration through frequency space bounds the net dissipation of stochastic processes.
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illustrate the use of this method on
use the EPF to characterize a dynamical phase transition in
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We find that while the total dissipation does not drastically change as the system undergoes a Hopf bifurcation, the EPF shows a dramatic change in the allocation of energy
The EPF quantifies the transition of dissipation from local to global coherent oscillations in space and time and integrating it gives a bound on the entropy production rate