A Review of: “Equilibrium and nonequilibrium statistical mechanics, By R. Balescu (John Wiley & Sons, New York, 1975)” and “Statistical Physics, by A. Isihara (Academic Press, New York, 1971)”

This issue of the Journal of Plasma Physics is dedicated to Radu Balescu on the occasion of his 65th birthday.Of the more than 170 articles published worldwide by Professor Balescu to date, more than 25 have been published in this journal. Readers of the Journal of Plasma Physics will thus be well acquainted with his contributions to the study of the interplay between plasma turbulence and the theory of transport phenomena in magnetically confined plasmas. A vast community of students, teachers and researchers will also have read or consulted the many monographs, five to date, written by Balescu and world-famous for their clarity. In his first monograph, Statistical Mechanics of Charged Particles (Interscience, New York), published in 1963, the whole of plasma physics, including the transport equation to which his name will remain attached, was put into the broader context of statistical physics. The monograph Equilibrium and Non-Equilibrium Statistical Mechanics (Wiley-Interscience, New York) followed in 1975, and still inspires many teachers today.

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Scaling properties of the Mw7.0 Samos (Greece), 2020 aftershock sequence.

10.5194/egusphere-egu21-10967 ◽

2021 ◽

Author(s):

Filippos Vallianatos ◽

Kyriaki Pavlou

Keyword(s):

New York ◽

Statistical Mechanics ◽

Statistical Physics ◽

Aegean Sea ◽

Aftershock Sequence ◽

The European Union ◽

Nonextensive Statistical Mechanics ◽

Development Fund ◽

Scaling Properties ◽

The North

On October 30, 2020 a strong shallow earthquake of magnitude Mw=7.0 occurred on the Eastern edge of Aegean Sea. The epicenter was located on the North offshore of the Greek island of Samos. The aim of our work is to present a first analysis of the scaling properties observed in the aftershock sequence as reported until December 31, 2020, as numerous seismic clusters activated. Our analysis is focused on the main of the clusters observed in the East area of the activated fault zone and strongly related with the main shock&#8217;s fault. The aftershock sequence follows the Omori law with a value of p&#8776;1.01 for the main cluster which is remarkably close to a logarithmic evolution. The analysis of interevent times distribution, based on non-extensive statistical physics indicates a system in an anomalous equilibrium with a cross over from anomalous (q>1) to normal (q=1) statistical mechanics, for great interevent times. A discussion of the cross over observed, in terms of superstatistics is given. In addition the obtained value q&#8776;1.67 suggests a system with one degree of freedom. Furthermore, an scaling of the migration of aftershock zone as a function of the logarithm of time is discussed in terms of rate strengthening rheology that govern the evolution of afterslip process.ReferencesTsallis, C. Introduction to Nonextensive Statistical Mechanics-Approaching a Complex World; Springer: New York, USA, 2009; pp. 1&#8211;382.Perfettini, H.,Frank, W. B., Marsan, D., and Bouchon, M. (2018). A model of aftershock migration driven by afterslip. Geophys. Res. Let., 45, 2283&#8211;2293.Vallianatos, F.; Papadakis, G.; Michas, G. (2016). Generalized statistical mechanics approaches to earthquakes and tectonics. Proc. R. Soc. A Math. Phys. Eng. Sci. 2016,472, 20160497AcknowledgementsWe acknowledge support of this work by the project &#8220;HELPOS &#8211; Hellenic System for Lithosphere Monitoring&#8221; (MIS 5002697) which is implemented under the Action &#8220;Reinforcement of the Research and Innovation Infrastructure&#8221;, funded by the Operational Programme "Competitiveness, Entrepreneurship and Innovation" (NSRF 2014-2020) and co-financed by Greece and the European Union (European Regional Development Fund).

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