  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.
