Similarity of fluctuations in systems exhibiting Self-Organized Criticality
Sarlis, N. V.; Skordas, E. S.; Varotsos, P. A.; Sarlis, N. V.; Solid State Section and Solid Earth Physics Institute, Physics Department, University of Athens Panepistimiopolis, Zografos 157 84, Athens, Greece, EU; Skordas, E. S.; Solid State Section and Solid Earth Physics Institute, Physics Department, University of Athens Panepistimiopolis, Zografos 157 84, Athens, Greece, EU; Varotsos, P. A.; Solid State Section and Solid Earth Physics Institute, Physics Department, University of Athens Panepistimiopolis, Zografos 157 84, Athens, Greece, EU
Журнал:
EPL (Europhysics Letters)
Дата:
2011-10-01
Аннотация:
The time-series of avalanches in three systems exhibiting SOC are analyzed in natural time χ. In two of them, i.e., ricepiles and magnetic flux penetration in thin films of YBa<sub>2</sub>Cu<sub>3</sub>O<sub>7−x</sub>, the data come from laboratory measurements, while the third one is a deterministic model mimicking stick-slip phenomena. We show that their scaled distributions for the variance κ<sub>1</sub> of natural time exhibit an exponential tail as previously found for the order parameter in seismicity and in other non-equilibrium or equilibrium critical systems. Upon considering the entropy S<sub>−</sub> in natural time under time reversal, the following important difference is found: In ricepiles evolving to the critical state, S<sub>−</sub> is systematically larger than the entropy S in natural time, while in YBa<sub>2</sub>Cu<sub>3</sub>O<sub>7−x</sub> no systematic difference between S<sub>−</sub> and S is found.
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