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arXiv · 2209.05096

Interface roughening in nonequilibrium phase-separated systems

Marc Besse·Giordano Fausti·Michael E. Cates·Bertrand Delamotte·Cesare Nardini
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Abstract

Interfaces of phase-separated systems roughen in time due to capillary waves. Because of fluxes in the bulk, their dynamics is nonlocal in real space and is not described by the Edwards-Wilkinson or Kardar-Parisi-Zhang (KPZ) equations, nor their conserved counterparts. We show that in the absence of detailed balance, the phase-separated interface is described by a new universality class that we term |q|KPZ. We compute the associated critical exponents via one-loop renormalization group, and corroborate the results by numerical integration of the |q|KPZ equation. Deriving the effective interface dynamics from a minimal field theory of active phase separation, we finally argue that the |q|KPZ universality class generically describes liquid-vapor interfaces in active systems.

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Marc Besse, Giordano Fausti, Michael E. Cates, Bertrand Delamotte, Cesare Nardini. 2022-09-12. Interface roughening in nonequilibrium phase-separated systems. https://doi.org/10.1103/physrevlett.130.187102

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