The European Physical Journal Special Topics

, Volume 143, Issue 1, pp 217–222 | Cite as

Power spectrum crossover in sediments of a paleolake disturbed by volcanism

  • G. Martínez-Mekler
  • E. Ugalde
  • G. Vilaclara


We study density fluctuations from sediments of a paleolake in central Mexico that was subjected to volcanic perturbations by means of computed tomography (CT) measurements on blocks chiselled out of mines at the lake's bed. The mine walls show laminations corresponding to the alternation of low density diatom sediments and high density volcanic ash depositions. We have previously shown that there is a range of scales where these fluctuations present a self-similar behavior [1]. Here we relate density correlation calculations to the power spectrum of the fluctuations. We show that a scaling region in the power spectrum coincides with the scaling region in the correlations produced by relaxation from intense volcanic perturbations to steady state fluctuations. There appears to be a kink-like crossover in the power spectrum from mid range scaling to a shorter range scale invariance. This, together with the density probability distribution of the fluctuations, draws attention to the dominant role of rare events. We believe that our analysis may be useful for the understanding of other phenomena with similar power spectrum properties, in which a scale invariance in the unperturbed system is altered by external perturbations that induce an additional scaling behavior.


Power Spectrum Tephra European Physical Journal Special Topic Diatomite Volcanic Event 
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  1. E. Ugalde, G. Martinez-Mekler, G. Vilaclara, Physica A 366, 485–494 (2006) CrossRefADSGoogle Scholar
  2. A. Von Erffa, W. Hilger, K. Knoblich, R. Weyl, Comunicaciones Proyecto Puebla-TlaxcalA 13, 99–118 (1976) Google Scholar
  3. J. Ashi, Proc. ODP, Sci. Results 156, 151–158 (1997) Google Scholar
  4. J. Miranda, A. Oliver, G. Vilaclara, R. Rico-Montiel, V.M. Macias, J.L. Ruvalcava, M.A. Zenteno, Nucl. Instrum. Methods Phys. Res. B 85, 886–889 (1994) CrossRefADSGoogle Scholar
  5. T. Litt, H.-U. Schmincke, B. Kromer, Quat. Sci. Rev. 22, 7–32 (2003) CrossRefGoogle Scholar
  6. S.E. Metcalfe, S.L. O'Hara, M. Caballero, S.J. Davies, Quat. Sci. Rev. 19, 699–721 (2000) CrossRefGoogle Scholar
  7. M.H. Trauth, M.A. Maslin, A. Deino, M.R. Strecker, Science 309, 2051–2053 (2005) CrossRefADSGoogle Scholar
  8. P. Barker, D. Williamson, F. Gasse, E. Gibert, Quat. Res. 60, 368–376 (2003) CrossRefADSGoogle Scholar
  9. R.J. Telford, P. Barker, S.E. Metcalfe, A. Newton, Quat. Sci. Rev. 23, 2337–2353 (2004) CrossRefGoogle Scholar
  10. V. Uritsky, M. Pudovkin, A. Stee, J. Atmos. Phys. 63, 1415–1424 (2001) CrossRefADSGoogle Scholar
  11. T. Hwa, M. Kardar, Phys. Rev. A 45, 7002–7023 (1992) CrossRefADSGoogle Scholar

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  • G. Martínez-Mekler
    • 1
  • E. Ugalde
    • 2
  • G. Vilaclara
    • 3
  1. 1.Instituto de Ciencias Físicas, Universidad Nacional Autónoma de MéxicoCuernavaca MorelosMexico
  2. 2.Instituto de Física, Universidad Autónoma de San Luis PotosíSan Luis PotosíSLPMexico
  3. 3.Limnología Tropical, División de Investigación y Posgrado, FES-Iztacala, Universidad Nacional Autónoma de MéxicoTlanepantla Edo. MéxicoMexico

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