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| Titel |
Renormalization group theory of earthquakes |
| VerfasserIn |
H. Saleur, C. G. Sammis, D. Sornette |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 3, no. 2 ; Nr. 3, no. 2, S.102-109 |
| Datensatznummer |
250000864
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| Publikation (Nr.) |
 copernicus.org/npg-3-102-1996.pdf |
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| Zusammenfassung |
| We study theoretically the physical
origin of the
proposed discrete scale invariance of earthquake
processes, at
the origin of the universal log-periodic
corrections to
scaling, recently discovered in regional seismic
activity
(Sornette and Sammis (1995)). The discrete scaling
symmetries
which may be present at smaller scales are shown
to be robust
on a global scale with respect to disorder.
Furthermore, a
single complex exponent is sufficient in practice to
capture
the essential properties of the leading correction to
scaling,
whose real part may be renormalized by disorder, and
thus be
specific to the system. We then propose a new
mechanism for
discrete scale invariance, based on the
interplay between
dynamics and disorder. The existence of non-linear
corrections
to the renormalization group flow implies that an
earthquake
is not an isolated "critical point", but is accompanied
by an
embedded set of "critical points", its foreshocks
and any
subsequent shocks for which it may be a foreshock. |
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