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

作者：Vallianatos Filippos^*; Sammonds Peter

来源：Tectonophysics, 2011, 509(1-2): 50-54.

DOI：10.1016/j.tecto.2011.06.001

• Faults
• Complex systems
• Non extensive statistical mechanics
• Mars

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 5, (defined as S-q =k(B)(1 - Sigma(W)(i)-1 p(i)(q))/(q - 1), (2) maximization of the Tsallis entropy under appropriate constraints, (3) derivation of the cumulative distribution 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.

• 出版日期2011-8-1