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We study fluctuating field models with spontaneously emerging dynamicalphases. We consider two typical transition scenarios associated withparity-time symmetry breaking: oscillatory instabilities and criticalexceptional points. An analytical investigation of the low-noise regime revealsa drastic increase of the mesoscopic entropy production toward the transitions.For an illustrative model of two nonreciprocally coupled Cahn-Hilliard fields,we find physical interpretations in terms of actively propelled interfaces anda coupling of modes near the critical exceptional point.

Irreversible mesoscale fluctuations herald the emergence of dynamical phases