Equilibrium-like fluctuations in some boundary-driven open diffusive systems
Alberto Imparato, Vivien Lecomte (DPMC), Fr\'ed\'eric Van Wijland, (MSC)

TL;DR
This paper demonstrates that certain boundary-driven open diffusive systems exhibit universal fluctuation features akin to equilibrium systems, and explores the potential for dynamic phase transitions driven by particle current.
Contribution
The authors establish a mapping linking boundary-driven open diffusive systems to equilibrium systems, revealing universal fluctuation behavior and opening avenues to observe phase transitions.
Findings
Particle current fluctuations follow Edwards-Wilkinson universality class.
Mapping to equilibrium systems explains fluctuation universality.
Potential for observing dynamic phase transitions via current control.
Abstract
There exist some boundary-driven open systems with diffusive dynamics whose particle current fluctuations exhibit universal features that belong to the Edwards-Wilkinson universality class. We achieve this result by establishing a mapping, for the system's fluctuations, to an equivalent open --yet equilibrium-- diffusive system. We discuss the possibility of observing dynamic phase transitions using the particle current as a control parameter.
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