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• W2023574356 startingPage "055002" @default.
• W2023574356 abstract "Non-equilibrium diffusive systems are known to exhibit long-range correlations, which decay like the inverse 1/L of the system size L in one dimension. Here, taking the example of the ABC model, we show that this size dependence becomes anomalous (the decay becomes a non-integer power of L) when the diffusive system approaches a second-order phase transition. This power-law decay as well as the L-dependence of the time-time correlations can be understood in terms of the dynamics of the amplitude of the first Fourier mode of the particle densities. This amplitude evolves according to a Langevin equation in a quartic potential, which was introduced in a previous work to explain the anomalous behavior of the cumulants of the current near this second-order phase transition. Here we also compute some of the cumulants away from the transition and show that they become singular as the transition is approached." @default.
• W2023574356 created "2016-06-24" @default.
• W2023574356 creator A5035928459 @default.
• W2023574356 creator A5042087931 @default.
• W2023574356 date "2012-01-19" @default.
• W2023574356 modified "2023-09-25" @default.
• W2023574356 title "Anomalous long-range correlations at a non-equilibrium phase transition" @default.
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• W2023574356 doi "https://doi.org/10.1088/1751-8113/45/5/055002" @default.
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