Phase Fluctuations in the ABC Model

T. Bodineau; B. Derrida

doi:10.1007/s10955-011-0315-7

Phase Fluctuations in the ABC Model

T. Bodineau
, B. Derrida

École Polytechnique

Centre national de la recherche scientifique

Research output: Contribution to journal › Article › peer-review

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 L³. 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.

Original language	English
Pages (from-to)	745-762
Number of pages	18
Journal	Journal of Statistical Physics
Volume	145
Issue number	3
DOIs	https://doi.org/10.1007/s10955-011-0315-7
Publication status	Published - 1 Jan 2011

Keywords

Fluctuating hydrodynamic
Front fluctuations
Large deviations
Non-equilibrium

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10.1007/s10955-011-0315-7

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title = "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 L3. 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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AU - Derrida, B.

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N2 - 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 L3. 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.

AB - 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 L3. 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.

KW - Fluctuating hydrodynamic

KW - Front fluctuations

KW - Large deviations

KW - Non-equilibrium

U2 - 10.1007/s10955-011-0315-7

DO - 10.1007/s10955-011-0315-7

M3 - Article

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VL - 145

SP - 745

EP - 762

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 3

ER -

Phase Fluctuations in the ABC Model

Abstract

Keywords

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