Statistical mechanics and scaling of fault populations with increasing strain in the Corinth Rift

Acoustic Emission Analysis of Cement Mortar Specimens During Three Point Bending Tests

“…The values of q while approaching the failure load level reach the critical value of 1.42 (Vallianatos and Sammonds, 2013) designating clearly the inevitable upcoming fracture. Since this framework concerns non-extensivity, which is, in turn, related to (multi)fractality , it may be said that the behaviour of Tsallis parameters suggests a fractal picture for fractures' network that represents each loading cycle, as has been previously suggested not only in rock physics but in earth sciences too (Vallianatos and Triantis, 2012;Vallianatos and Triantis, 2013;Vallianatos and Sammonds, 2014;Michas et al, 2015). Moreover, each loading-unloading cycle contributes to the creation of a rich fractures' network and consequently the collection of AEs is expressed by a q-parameter which gets higher in each repeated loading-unloaded cycle (see Figure 9), approaching approximately 1.5 as the order of the sequential loading-unloading cycle increases, indicating that a q-exponential distribution is approached in the fracture's network as the loading-unloading cycle is repeated indicating a high degree of hierarchical Latin American Journal of Solids and Structures 13 (2016) 2283-2297 organization similar to that of faults in geodynamic systems fractality Michas et al, 2015).…”

Generalized statistical mechanics approaches to earthquakes and tectonics

“…This type of scaling in fault-length distributions has been observed in mid-ocean ridges [54], in the Turcana Rift (Northern Kenya) [55] and in high-strain zones in the Corinth Rift [56] and the Afar Rift [57]. The power-law frequency-size distribution and the self-similar structure across the wide range of scales have been considered as strong indications of fractal geometries in fracture systems (e.g.…”

“…In addition, Michas et al [56] studied the scaling properties of the fault network in the Corinth Rift (Greece) that is one of the most tectonically active continental rifts on the Earth. By using the NESM approach, the analysis indicated the transition from q-exponential scaling and asymptotic power-law behaviour in the lower strain eastern zone, to exponential scaling and Poissonian behaviour in the higher strain central and western zones.…”

A Non-Extensive Statistical Mechanics View on Easter Island Seamounts Volume Distribution

“…As q increases the physical state (in the sense of statistical physics) becomes much more complex. Note that our results are not based on an empirical guess for the seamount volume distribution but derived from the first principle of non-extensive Tsallis entropy formalism, which is completely universal and has a long range of application [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. The physical meaning underlying the non-extensive entropy formalism is that the final geophysical state can be considered as a collection of heating parts which, after division, have the sum of individual entropies larger than the entropy of the initial state.…”

“…Since they are key components of Earth physics processes, Tsallis statistical mechanics is suitable to explore the distribution of seamounts in ESC. Its applicability in Earth and planetary physics has been demonstrated in a series of recent publications on seismicity [16][17][18][19][20][21], natural hazards [22,23], plate tectonics [24], geomagnetic reversals [25], rock physics [26], applied geophysics [27], and Earth's and Mars' fault-length distributions [28][29][30].…”