Volume 110, Number 5, June 2015
|Number of page(s)||5|
|Section||Geophysics, Astronomy and Astrophysics|
|Published online||11 June 2015|
Anomalous diffusion of volcanic earthquakes
1 Department of Physical Engineering, Mie University - Mie 514-8507, Japan
2 Institute of Physics, Kazan Federal University - Kazan 420008, Russia
3 College of Science and Technology, Nihon University - Chiba 274-8501, Japan
Received: 17 March 2015
Accepted: 29 May 2015
Volcanic seismicity at Mt. Etna is studied. It is found that the associated stochastic process exhibits a subdiffusive phenomenon. The jump probability distribution well obeys an exponential law, whereas the waiting-time distribution follows a power law in a wide range. Although these results would seem to suggest that the phenomenon could be described by a temporally fractional kinetic theory based on the viewpoint of continuous-time random walks, the exponent of the power-law waiting-time distribution actually lies outside of the range allowed in the theory. In addition, there exists the aging phenomenon in the event-time averaged mean squared displacement, in contrast to the picture of the fractional Brownian motion. Comments are also made on possible relevances of random walks on fractals as well as nonlinear kinetics. Thus, problems of volcanic seismicity are highly challenging for science of complex systems.
PACS: 91.30.Tb – Volcano seismology / 89.75.-k – Complex systems / 05.65.+b – Self-organized systems
© EPLA, 2015
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.