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Phase Fluctuations in the ABC Model

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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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Authors and Affiliations

  1. Ecole Normale Supérieure, DMA, 45 rue d’Ulm, 75230, Paris cedex 05, France

    T. Bodineau

  2. Laboratoire de Physique Statistique (CNRS UMR 8550), École Normale Supérieure, UPMC Paris 6, CNRS, Université Paris Diderot Paris 7, 24 rue Lhomond, 75231, Paris cedex 05, France

    B. Derrida

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  1. T. Bodineau
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  2. B. Derrida
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Correspondence to T. Bodineau.

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Bodineau, T., Derrida, B. Phase Fluctuations in the ABC Model. J Stat Phys 145, 745–762 (2011). https://doi.org/10.1007/s10955-011-0315-7

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  • DOI: https://doi.org/10.1007/s10955-011-0315-7

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