Nonequilibrium thermodynamic characterization of chimeras in a continuum chemical oscillator system

The emergence of the chimera state as the counterintuitive spatial coexistence of synchronous and asynchronous regimes is addressed here in a continuum chemical oscillator system by implementing a relevant complex Ginzburg-Landau equation with global coupling. This study systematically acquires and characterizes the evolution of nonequilibrium thermodynamic entities corresponding to the chimera state. The temporal evolution of the entropy production rate exhibits a beat pattern with a series of equidistant spectral lines in the frequency domain. Symmetric profiles associated with the incoherent regime appear in descriptions of the dynamics and thermodynamics of the chimera. It is shown that identifying the semigrand Gibbs free energy of the state as the Gabor elementary function can reveal the guiding role of the information uncertainty principle in shaping the chimera energetics.

Automated summary

This study investigates the emergence of the chimera state in a continuum chemical oscillator system using a complex Ginzburg-Landau equation. The study systematically examines the evolution of nonequilibrium thermodynamic entities associated with the chimera state. The temporal evolution of the entropy production rate exhibits beat patterns in the frequency domain, while symmetric profiles associated with the incoherent regime appear in descriptions of the chimera's dynamics and thermodynamics. The study highlights the guiding role of the information uncertainty principle in shaping the energetics of the chimera.