Current fluctuations in nonequilibrium discontinuous phase transitions

Abstract

Discontinuous phase transitions out of equilibrium can be characterized by the behavior of macroscopic stochastic currents. But while much is known about the the average current, the situation is much less understood for higher statistics. In this paper, we address the consequences of the diverging metastability lifetime -- a hallmark of discontinuous transitions -- in the fluctuations of arbitrary thermodynamic currents, including the entropy production. In particular, we center our discussion on the \emph{conditional} statistics, given which phase the system is in. We highlight the interplay between integration window and metastability lifetime, which is not manifested in the average current, but strongly influences the fluctuations. We introduce conditional currents and find, among other predictions, their connection to average and scaled variance through a finite-time version of Large Deviation Theory and a minimal model. Our results are then further verified in two paradigmatic models of discontinuous transitions: Schlögl's model of chemical reactions, and a $12$-states Potts model subject to two baths at different temperatures.

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Cited by in corpus (10)

• Macroscopic Stochastic Thermodynamics
• Diverging current fluctuations in critical Kerr resonators
• Hyperaccurate bounds in discrete-state Markovian systems
• Nonequilibrium fluctuations of chemical reaction networks at criticality: The Schlögl model as paradigmatic case
• Critical heat current fluctuations in Curie-Weiss model in and out of equilibrium
• Dynamical signatures of discontinuous phase transitions: How phase coexistence determines exponential versus power-law scaling
• Dissipation at limited resolutions: Power law and detection of hidden dissipative scales
• Dynamic fluctuations of current and mass in nonequilibrium mass transport processes
• Current fluctuations in the symmetric zero-range process below and at critical density
• Anomalous current fluctuations and mobility-driven clustering