On the statistical physics of rockfalls: A non-extensive view
Technological Educational Institute of Crete - GR 73133, Chania, Crete, Greece, EU
Received: 17 October 2012
Accepted: 11 December 2012
Based on the non-extensive Tsallis entropy, a distribution function of rockfall sizes is suggested. Our result demonstrates the applicability of fundamental principles of non-extensivity of fragmentation into the cumulative distribution of rockfall volumes. Historical data discussed along with an analysis of recent rockfalls data where the observed volumes estimated using the high-accuracy and precision technique of terrestial laser scanner (TLS). The analysis leads to the non-extensive index q = 1.4 in agreement with that presented in other fracture effects in geodynamic or laboratory scale. The work suggests that the non-extensive physics approach can lead to a groundbreaking statistical physics of rockfalls, one of the worldwide natural hazard.
PACS: 02.70.Rr – General statistical methods / 92.40.Pb – Geomorphology
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