Department of Geology and Geoenviromment
Library of the School of Science

2023-02-23

2023

Bantouvaki Melina

Φίλιππος Βαλλιανάτος,Διδακτικό Ερευνητικό Προσωπικό (ΔΕΠ) ,Καθηγητής, Γεωφυσικής και Γεωθερμίας
Φοίβος Καρακώστας, seismologist and a postdoctoral researcher at the Istituto Nazionale di Geofisica e Vulcanologia (INGV) in Bologna

The non-Gaussian characteristics of Seismic S-Coda Waves on Mars in terms of Tsallis Statistics

English
Greek

The non-Gaussian characteristics of Seismic S-Coda Waves on Mars in terms of Tsallis Statistics

The last decades a lot of progress has been made in studying planetary Physics based
on the science of complexity and the application of generalized formalisms of statistical
physics and entropy. The results of the present work suggests that the seismic S-coda
waves recorded on Mars by NASA’s InSight Mission station, present increments that
deviate from the Gaussian shape and their respective probability density function could
be adequately described by a q-Gaussian. This observation implies that seismic S-coda
wave complexity originating by multiscattering effects, can be described by Tsallis
entropy terms (Tsallis, 2019, Tsallis and Brigatti, 2004).
Investigation of the dynamical features of seismic waves is of fundamental importance
since they could provide information on the statistical properties of the scatterers in the
wave propagation path. The non-extensive statistical mechanics (NESM) seems to be a
promising framework for studying complex earthquake systems that exhibit long-range
interactions and memory effects. In this work, S-coda waves recorded on Mars are
studied from the point of view of non- extensive statistical mechanics. Our aim is to
demonstrate the applicability of non-extensive statistical mechanics to the fluctuations
of S-coda amplitudes and to define the entropic q parameters obtained in the S-coda
waves recorded by seismological station on Mars (Clinton et al. 2021).
We defined the increment function X(t)=V(t+1) −Vt, where V(t) is the measured
ground velocity. We proceed by analyzing the normalized increments X(t) constructing
the probability density function PDF p(x), where x =(X−)/σX, σX being the
standard deviation of X(t) and the observed mean value on the same data set. The
observed probability density function deviates from the standard Gaussian shape due to
the existence of heavy tails and can be rather described by the q-Gaussian function of
the form: p(x)= A[1+B(q-1)x^2]^(-1/q-1) (1)
The results of the present work suggest that the seismic S-coda waves increments
deviate from the Gaussian shape and their respective probability density function p(x),
could be adequately described by a q-Gaussian and thus presenting power-law tails
with slope −2/ (q − 1). This observation implies that seismic S-coda wave complexity
originating by multiscattering effects on Mars, can be described by Tsallis entropy, with
the same way as it was discovered for Earth (Koutalonis et al., 2019).

Science

Mars, NESM, S-coda waves, Gauss, q-Gaussian

Yes

1

Yes

49

58

File access is restricted until 2025-10-26.

https://pergamos.lib.uoa.gr/uoa/dl/object/3276406