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We study the seismicity (global seismic activity) that occurred in Greece between 1976 and 2009 based on the dataset reported in Makropoulos et al., 2012, using concepts of Non-extensive Statistical Physics. By considering the entire and…

Chaotic Dynamics · Physics 2015-06-19 Chris G. Antonopoulos , George Michas , Filippos Vallianatos , Tassos Bountis

In the prototype sandpile model of self-organized criticality time series obtained by decomposing avalanches into waves of toppling show intermittent fluctuations. The q-th moments of wave size differences possess local multiscaling and…

Statistical Mechanics · Physics 2009-11-07 Mario De Menech , Attilio L. Stella

We present a stability analysis of the classical ideal gas in a new theory of nonextensive statistics and use the theory to understand the phenomena of negative specific heat in some self-gravitating systems. The stability analysis is made…

Statistical Mechanics · Physics 2015-08-10 Liyan Liu , Zhipeng Liu , Lina Guo

We consider the Bak-Tang-Wiesenfeld (BTW) and the Manna sandpile models of self-organized criticality. In the models, previous studies revealed a signature of long-range temporal correlations in the avalanche activity. We examine the power…

Statistical Mechanics · Physics 2025-07-30 Rahul Chhimpa , Avinash Chand Yadav

We provide a complete picture of the self-gravitating non-relativistic gas at thermal equilibrium using Monte Carlo simulations (MC), analytic mean field methods (MF) and low density expansions. The system is shown to possess an infinite…

High Energy Physics - Theory · Physics 2009-10-31 H. J. de Vega , N. S'anchez

The gravitational collapse of a triplet scalar field is examined assuming a hedgehog ansatz for the scalar field. Whereas the seminal work by Choptuik with a single, strictly spherically symmetric scalar field found a discretely…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Steven L. Liebling

A detailed Monte Carlo-study of the satisfiability threshold for random 3-SAT has been undertaken. In combination with a monotonicity assumption we find that the threshold for random 3-SAT satisfies $\alpha_3 \leq 4.262$. If the assumption…

Statistical Mechanics · Physics 2019-02-13 P. H. Lundow , K. Markström

The North Anatolian Fault (NAF) has produced numerous major earthquakes. After decades of quiescence, the $\rm{M_w}$ 6.8 Elaz{\i}\u{g} earthquake (January 24, 2020) has recently reminded us that the East Anatolian Fault (EAF) is also…

Geophysics · Physics 2020-09-02 Quentin Bletery , Olivier Cavalié , Jean-Mathieu Nocquet , Théa Ragon

We numerically investigate the Olami-Feder-Christensen model on a quenched random graph. Contrary to the case of annealed random neighbors, we find that the quenched model exhibits self-organized criticality deep within the nonconservative…

Statistical Mechanics · Physics 2009-11-07 Stefano Lise , Maya Paczuski

We analyze regional earthquake energy statistics from the Southern California and Japan seismic catalogs and find scale-invariant energy distributions characterized by an exponent $\tau \simeq 1.67$. To quantify how closely scale-invariant…

Statistical Mechanics · Physics 2025-12-22 K. Duplat , G. Varas , O. Ramos

The growth of the population of space debris in the geostationary ring and the resulting threat to active satellites require insight into the dynamics of uncontrolled objects in the region. A Monte Carlo simulation analyzed the sensitivity…

Earth and Planetary Astrophysics · Physics 2023-09-21 Roberto Flores , Mauro Pontani , Elena Fantino

The evolution of mean sea-level atmospheric pressure since 1850 is analyzed using singular spectrum analysis. Maps of the main components (the trends) reveal striking symmetries of order 3 and 4. The northern hemisphere (NH) displays a set…

Geophysics · Physics 2023-01-20 F. Lopes , V. Courtillot , J-L. Le Mouël

We revisit the topic of self-organized criticality (SOC) in simple statistical graph models, with the purpose of capturing essential processes leading to the emergence of macroscopic spacetime from the microscopic dynamics in loop quantum…

General Relativity and Quantum Cosmology · Physics 2021-09-14 Christine C. Dantas

Following the discovery of a new class of X-ray variability seen in four galaxies, dubbed Quasi-Periodic Eruptions (QPEs), we reconsider the variability seen in the low-mass AGN 2XMM J123103.2+110648 to ascertain whether it should be…

High Energy Astrophysical Phenomena · Physics 2022-11-30 Robbie Webbe , A. J. Young

We revisit the work of Kilston and Knopoff (1983) to study the correlation of earthquakes with the main lunisolar tidal components in the limited zone of the Southern California region, with a considerably bigger amount of data. By adopting…

Geophysics · Physics 2021-04-13 Ibnu Nurul Huda , Jean Souchay

Large-scale astrophysical systems are non-extensive due to their long-range force of gravity. Here we show an approach toward the statistical mechanics of such self-gravitating systems (SGS). This is a generalization of the standard…

Astrophysics · Physics 2007-05-23 Akika Nakamichi , Izumi Joichi , Osamu Iguchi , Masahiro Morikawa

We study the statistics of simulated earthquakes in a quasistatic model of two parallel heterogeneous faults within a slowly driven elastic tectonic plate. The probability that one fault remains dormant while the other is active for a time…

Statistical Mechanics · Physics 2009-10-31 M. W. Lee , D. Sornette , L. Knopoff

When dimensionality is reduced, enhanced quantum fluctuations can destroy long-range phase coherence, driving a superconductor insulator transition, SIT, where disorder and electronic correlations give rise to novel many-body states. Here,…

Mesoscale and Nanoscale Physics · Physics 2026-01-26 Phanibhusan S. Mahapatra , Haining Pan , Kenji Watanabe , Takashi Taniguchi , J. H. Pixley , Eva Y. Andrei

We consider the random $k$-SAT problem with $n$ variables, $m=m(n)$ clauses, and clause density $\alpha=\lim_{n\to\infty}m/n$ for $k=2,3$. It is known that if $\alpha$ is small enough, then the random $k$-SAT problem admits a solution with…

Probability · Mathematics 2025-04-17 Andreas Basse-O'Connor , Tobias Lindhardt Overgaard , Mette Skjøtt