Complexity of seismicity and nonextensive statistics
Makaleler > Tam Makale · 2005
Yazarlar: Sumiyoshi Abe, Uğur TIRNAKLI, P. A. Varotsos
Europhysics News, Uluslararası, 2005, cilt 36, ss 206-208
DOI: 10.1051/epn:2005608
Özet
same values for both the ferromagnetic and paramagnetic phase.Instead, in the QSS regime magnetization correctly vanishes with N -1/6 while polarization remains constant at a value 0.24 ±0.05.This does strongly indicate that we can consider the QSS regime as a sort of glassy phase for the HMF model.Again, it is important to stress the role of the initial conditions in order to have dynamical frustration and glassy behaviour.Actually, glassy features are very sensitive to the initial kinetic explosion that produces the sudden quenching and dynamical frustration.In particular, reducing M0 from 1 to 0.95 the polarization effect and the hierarchical clusters size distributions become much less evident, until they completely disappear decreasing further M0 [10].In this sense, the M0=1 initial conditions seems to select a special region of phase space where the system of rotators described by the HMF Hamiltonian behaves as a glassy system.We note in closing that this result gives also a further support to the broken ergodicity interpretation of the QSS regime of Tsallis themostatistics. ConclusionsSummarizing the HMF model and its generalization, the a-XY model, provide a perfect benchmark for studying complex dynamics in Hamiltonian long-range systems.It is true that several questions remain still open and need to be further studied with more detail in the future.However the actual state of the art favours the application of Tsallis thermostatistics to explain most of the anomalies observed in the QSS regime.The latter seems to have also very interestings links to glassy dynamics.