A non-extensive statistics of the fault-population at the Valles Marineris extensional province, Mars.

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• 作者：Filippos Vallianatos^a ; ^b ; ^{f.vallianatos@ucl.ac.uk"" rel=""nofollow} ; Peter Sammonds^a
• 关键词：Faults ; Complex systems ; Non extensive statistical mechanics ; Mars
• 刊名：Tectonophysics
• 出版年：2011
• 出版时间：1 August 2011
• 年：2011
• 卷：509
• 期：1-2
• 页码：50-54
• 全文大小：242 K

文摘

A non extensive statistical physics approach is formulated and tested for the fault length distribution in the Valles Marineris extensional province, Mars. The approach is composed of the following parts: (1) the Tsallis entropy S_q (defined as S_q = k_B(1 − ∑ _i = 1^Wp_i^q)/(q − 1), (2) maximization of the Tsallis entropy under appropriate constraints, (3) derivation of the cumulative distribution function (CDF) of the fault length population. In testing the model a non-extensive q parameter equal to 1.10 for independent, non-interacting faults and q = 1.75 for linked faults are estimated. The latter supports the conclusion that the fault system in the Valles Marineris extensional province, Mars, is a sub-extensive one and verifies with statistical physics terms the geological criteria introduced by Schultz (2000) to classify the faults in independent and linked, respectively.