Long-Range Correlations in Systems with Coherent (Quasi)periodic Oscillations

Hugues Chaté; G. Grinstein; Lei-Han Tang

doi:10.1103/PhysRevLett.74.912

Long-Range Correlations in Systems with Coherent (Quasi)periodic Oscillations

Hugues Chaté
, G. Grinstein
, Lei-Han Tang

Department of Physics

Research output: Contribution to journal › Journal article › peer-review

39 Citations (Scopus)

Abstract

Through large-scale simulations of a three-dimensional, deterministic cellular automaton, we demonstrate the existence of algebraic spatial and temporal correlations in nonequilibrium systems that break a continuous time-translation symmetry to produce coherent periodic oscillations. Our results provide the first numerical support for a recent hypothesis that phase fluctuations in such systems are described by the Kardar-Parisi-Zhang equation. The coefficient of the nonlinear term in the equation is determined numerically.

Original language	English
Pages (from-to)	912-915
Number of pages	4
Journal	Physical Review Letters
Volume	74
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevLett.74.912
Publication status	Published - 6 Feb 1995

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10.1103/PhysRevLett.74.912

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title = "Long-Range Correlations in Systems with Coherent (Quasi)periodic Oscillations",

abstract = "Through large-scale simulations of a three-dimensional, deterministic cellular automaton, we demonstrate the existence of algebraic spatial and temporal correlations in nonequilibrium systems that break a continuous time-translation symmetry to produce coherent periodic oscillations. Our results provide the first numerical support for a recent hypothesis that phase fluctuations in such systems are described by the Kardar-Parisi-Zhang equation. The coefficient of the nonlinear term in the equation is determined numerically.",

author = "Hugues Chat{\'e} and G. Grinstein and Lei-Han Tang",

note = "Funding Information: We would like to acknowledge useful discussions with D. Dhar, V. Hakim, P. Manneville, and D. Mukamel. L. H. T. and G. G., respectively, thank the CEA-Saclay and the Isaac Newton Institute, Cambridge, where parts of this work were performed, for their generous hospitality. Research is supported in part by the DFG through SFB-341 (L. H. T.). Publisher copyright: {\textcopyright} 1995 American Physical Society",

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T1 - Long-Range Correlations in Systems with Coherent (Quasi)periodic Oscillations

AU - Chaté, Hugues

AU - Grinstein, G.

AU - Tang, Lei-Han

N1 - Funding Information: We would like to acknowledge useful discussions with D. Dhar, V. Hakim, P. Manneville, and D. Mukamel. L. H. T. and G. G., respectively, thank the CEA-Saclay and the Isaac Newton Institute, Cambridge, where parts of this work were performed, for their generous hospitality. Research is supported in part by the DFG through SFB-341 (L. H. T.). Publisher copyright: © 1995 American Physical Society

PY - 1995/2/6

Y1 - 1995/2/6

N2 - Through large-scale simulations of a three-dimensional, deterministic cellular automaton, we demonstrate the existence of algebraic spatial and temporal correlations in nonequilibrium systems that break a continuous time-translation symmetry to produce coherent periodic oscillations. Our results provide the first numerical support for a recent hypothesis that phase fluctuations in such systems are described by the Kardar-Parisi-Zhang equation. The coefficient of the nonlinear term in the equation is determined numerically.

AB - Through large-scale simulations of a three-dimensional, deterministic cellular automaton, we demonstrate the existence of algebraic spatial and temporal correlations in nonequilibrium systems that break a continuous time-translation symmetry to produce coherent periodic oscillations. Our results provide the first numerical support for a recent hypothesis that phase fluctuations in such systems are described by the Kardar-Parisi-Zhang equation. The coefficient of the nonlinear term in the equation is determined numerically.

UR - https://www.scopus.com/pages/publications/0001500960

U2 - 10.1103/PhysRevLett.74.912

DO - 10.1103/PhysRevLett.74.912

M3 - Journal article

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VL - 74

SP - 912

EP - 915

JO - Physical Review Letters

JF - Physical Review Letters

IS - 6

ER -

Long-Range Correlations in Systems with Coherent (Quasi)periodic Oscillations

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