Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-07-30
Book Chapter (pages 245-250) in "Continuum Models & Discrete Systems", Edited by D. J. Bergman & E. Inan, Nato Sc. Series, Klu
Physics
Condensed Matter
Statistical Mechanics
6 pages, 6 figures. To be published as proc. NATO conf. CMDS-10, Soresh, Israel, July 2003. Eds. D. J. Bergman & E. Inan, KLUW
Scientific paper
The two-fractal overlap model of earthquake shows that the contact area distribution of two fractal surfaces follows power law decay in many cases and this agrees with the Guttenberg-Richter power law. Here, we attempt to predict the large events (earthquakes) in this model through the overlap time-series analysis. Taking only the Cantor sets, the overlap sizes (contact areas) are noted when one Cantor set moves over the other with uniform velocity. This gives a time series containing different overlap sizes. Our numerical study here shows that the cumulative overlap size grows almost linearly with time and when the overlapsizes are added up to a pre-assigned large event (earthquake) and then reset to `zero' level, the corresponding cumulative overlap sizes grows upto some discrete (quantised) levels. This observation should help to predict the possibility of `large events' in this (overlap) time series.
Chakrabarti Bikas K.
Choudhuri Pinaki
Pradhan Srutarshi
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