Hierarchy of non-extensive mechanical processes in fracturing sea ice

The fracture-induced oscillations in sea ice were detected by seismographs and seismic tiltmeters established on the Arctic ice pack. Field observations were supplemented with a laboratory experiment. The energy distributions in elastic waves generated during: (i) large-scale ice pack fragmentation over area of about 10⁵ km², (ii) local crack propagation in ice floe, and (iii) laboratory ice crashing were constructed and analyzed using principles of the Tsallis statistics. The energy release regimes at different stages of fracturing were characterized by the parameter of nonextensivity q. In terms of the non-extensive statistical mechanics, q > 1 evidences the correlated (non-extensive) dynamics of the process in nonequilibrium system, q = 1 responds to the additivity of events occurring in equilibrium system, and q < 1 takes place when the energy release is additive and limited by an upper cut-off. All these scenarios were revealed in fracture processes occurring at three hierarchic levels. The variation of the q-value demonstrates high thermodynamic changeability of the fracture process driven by irregular external source. The role of energy conservation in fracturing sea ice is discussed in connection with the observed reversible transitions between extensive and non-extensive modes of fracture.