Nonequilibrium thermodynamic characterization of chimeras in a continuum chemical oscillator system

TL;DR

This paper investigates the nonequilibrium thermodynamics of chimera states in a continuum chemical oscillator system, revealing unique entropy and energy characteristics linked to the coexistence of synchronous and asynchronous behaviors.

Contribution

It introduces a thermodynamic framework for analyzing chimera states in a continuum chemical oscillator using a complex Ginzburg-Landau equation with global coupling.

Findings

Entropy production rate exhibits a beat pattern with spectral lines.

Symmetric thermodynamic profiles are associated with incoherent regimes.

Semigrand Gibbs free energy reveals the role of information uncertainty in chimera energetics.

Abstract

The emergence of the chimera state as 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 incoherence 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 unveil the guiding role of the information uncertainty principle in shaping the chimera energetics.