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Publication Detail
Non-extensivity of the isothermal depolarization relaxation currents in uniaxial compressed rocks
  • Publication Type:
    Journal article
  • Publication Sub Type:
    Article
  • Authors:
    Vallianatos F, Triantis D, Sammonds P
  • Publisher:
    EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY
  • Publication date:
    06/2011
  • Journal:
    EPL-EUROPHYS LETT
  • Volume:
    94
  • Issue:
    6
  • Article number:
    68008
  • Print ISSN:
    0295-5075
  • Language:
    EN
  • Keywords:
    ELECTRIC EARTHQUAKE PRECURSORS, ANOMALOUS DIFFUSION, PHYSICAL-PROPERTIES, STATISTICS, FIELD, MAGNITUDE, STRESS
  • Addresses:
    Vallianatos, F
    UCL
    Dept Earth Sci
    London
    WC1E 6BT
    England

    Technol Educ Inst Crete
    Lab Geophys & Seismol
    Iraklion
    Greece
Abstract
The isothermal depolarization current relaxation in uniaxial compressed rocks follows a generalized exponential function which explicitly introduces hierarchically constrained dynamics and macroscopic interactions. The interactions are associated with the non-extensive entropy parameter q and exhibits a behavior indicating a scaling with normalized uniaxial stress Sigma = sigma/sigma(Y), where sigma(Y) is the yield stress where deviation from the elastic region starts in a stress-strain curve. Combining ideas of Levy and Tsallis statistics we argue the remarkable result that a Levy-walk-type mechanism can organize the geometry of the heterogeneous system to criticality. The stress-dependent q-estimation leads to the conclusion that fracturing is a subextensive process with strong interaction. Copyright (C) EPLA, 2011
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