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On the dynamics of bubbles in boiling water

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  • Ribeiro, H.V.
  • Mendes, R.S.
  • Lenzi, E.K.
  • Belancon, M.P.
  • Malacarne, L.C.

Abstract

We investigate the dynamics of many interacting bubbles in boiling water by using a laser scattering experiment. Specifically, we analyze the temporal variations of a laser intensity signal which passed through a sample of boiling water. Our empirical results indicate that the return interval distribution of the laser signal does not follow an exponential distribution; contrariwise, a heavy-tailed distribution has been found. Additionally, we compare the experimental results with those obtained from a minimalist phenomenological model, finding a good agreement.

Suggested Citation

  • Ribeiro, H.V. & Mendes, R.S. & Lenzi, E.K. & Belancon, M.P. & Malacarne, L.C., 2011. "On the dynamics of bubbles in boiling water," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 178-183.
  • Handle: RePEc:eee:chsofr:v:44:y:2011:i:1:p:178-183
    DOI: 10.1016/j.chaos.2011.01.006
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    References listed on IDEAS

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    1. Fengzhong Wang & Kazuko Yamasaki & Shlomo Havlin & H. Eugene Stanley, 2005. "Scaling and memory of intraday volatility return intervals in stock market," Papers physics/0511101, arXiv.org.
    2. Saralees Nadarajah & M. Ali, 2008. "Pareto Random Variables for Hydrological Modeling," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 22(10), pages 1381-1393, October.
    3. Buiatti, Marco & Grigolini, Paolo & Palatella, Luigi, 1999. "A non extensive approach to the entropy of symbolic sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 268(1), pages 214-224.
    4. M. S. Santhanam & Holger Kantz, 2008. "Return interval distribution of extreme events and long term memory," Papers 0803.1706, arXiv.org.
    5. Alvarez-Ramirez, Jose & Espinosa-Paredes, Gilberto & Vazquez, Alejandro, 2005. "Detrended fluctuation analysis of the neutronic power from a nuclear reactor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(2), pages 227-240.
    6. Kantelhardt, Jan W & Koscielny-Bunde, Eva & Rego, Henio H.A & Havlin, Shlomo & Bunde, Armin, 2001. "Detecting long-range correlations with detrended fluctuation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(3), pages 441-454.
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