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Studying long-range correlations in a liquid–vapor-phase transition

Author

Listed:
  • Zebende, G.F.
  • da Silva, M.V.S.
  • Rosa, A.C.P.
  • Alves, A.S.
  • de Jesus, J.C.O.
  • Moret, M.A.

Abstract

In this paper we study long-range correlations due to temperature-driven liquid–vapor-phase transition in distilled water. Using a very simple experimental setup, we recorded the sound waves produced by boiling water, increasing the water temperature from liquid up to vapor. The long-range correlation exponent α has been calculated via Detrended Fluctuation Analysis in this time series. In the liquid phase the Detrended Fluctuation Analysis results give an exponent α∼0.6 for the underlined time series. The scaling exponent increases when the temperature becomes close to transition temperature TB. At the transition temperature an exponent α becomes closer to 1.1, which indicates a more persistent behavior. These results are compared to similar behavior observed in X-ray stellar binary systems. In this context, we propose a simple link between liquid–vapor-phase transition and accretion mass rate.

Suggested Citation

  • Zebende, G.F. & da Silva, M.V.S. & Rosa, A.C.P. & Alves, A.S. & de Jesus, J.C.O. & Moret, M.A., 2004. "Studying long-range correlations in a liquid–vapor-phase transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 342(1), pages 322-328.
    • Handle: RePEc:eee:phsmap:v:342:y:2004:i:1:p:322-328
    DOI: 10.1016/j.physa.2004.01.071
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    Cited by:

    1. Santos, J.V.C. & Moreira, D.M. & Moret, M.A. & Nascimento, E.G.S., 2019. "Analysis of long-range correlations of wind speed in different regions of Bahia and the Abrolhos Archipelago, Brazil," Energy, Elsevier, vol. 167(C), pages 680-687.
    2. Machado Filho, A. & da Silva, M.F. & Zebende, G.F., 2014. "Autocorrelation and cross-correlation in time series of homicide and attempted homicide," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 400(C), pages 12-19.

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