Phase fluctuations in the ABC model

Abstract

We analyze the fluctuations of the steady state profiles in the modulated phase of the ABC model. For a system of $L$ sites, the steady state profiles move on a microscopic time scale of order $L^3$. The variance of their displacement is computed in terms of the macroscopic steady state profiles by using fluctuating hydrodynamics and large deviations. Our analytical prediction for this variance is confirmed by the results of numerical simulations.

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• Phase Coexistence in Driven One Dimensional Transport
• Long-range correlations and ensemble inequivalence in a generalized ABC model
• Rigorous results on spontaneous symmetry breaking in a one-dimensional driven particle system
• Phase diagram of the ABC model with nonconserving processes
• The grand canonical ABC model: a reflection asymmetric mean field Potts model

Cited by in corpus (14)

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• The kinetic exclusion process: a tale of two fields
• On the dynamical behavior of the ABC model
• Ensemble inequivalence : Landau theory and the ABC model
• Anomalous long-range correlations at a non-equilibrium phase transition
• Relaxation processes in a system with logarithmic growth
• Drift of phase fluctuations in the ABC model
• Lecture notes on large deviations in non-equilibrium diffusive systems
• Current fluctuations in finite-sized one-dimensional non-interacting passive and active systems
• The energy of the alphabet model
• Non-equilibrium stationary properties of the boundary driven zero-range process with long jumps