
You have already added 0 works in your ORCID record related to the merged Research product.
You have already added 0 works in your ORCID record related to the merged Research product.
<script type="text/javascript">
<!--
document.write('<div id="oa_widget"></div>');
document.write('<script type="text/javascript" src="https://beta.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=undefined&type=result"></script>');
-->
</script>
Mean-field solution of a block-spring model of earthquakes

doi: 10.1051/jp1:1992269
Mean-field solution of a block-spring model of earthquakes
A mean field version of the Burridge-Knopoff block-spring stick-slip model of earthquake faults is mapped onto a cycled generalization of the democratic fiber bundle model (DFM). This provides an exactly soluble model which describes the set of earthquakes preceding a major earthquake. We find the coexistence of 1) a differential Gutenberg-Richter distribution d(Δ)∼Δ-3/2 of bursts of size Δ, with a cut-off Δmax ∼(σr-σ)-1 as the stress σ↦σr and 2) a run away occurring at a well-defined stress threshold σr. The total number of bursts of size Δ up to the run away scales as D(Δ)∼Δ-5/2. The exponent 5/2 reflects the occurrence of larger and larger events when approaching the run away instability (Omori's law for foreshocks). The Gutenberg-Richter and Omori power laws are not associated with a stationary criticality but to fluctuations accompanying the nucleation of the run away. Introducing long range correlations in the model lead to a continuous dependence of the above exponents as a function of the correlation exponent.
[PHYS.HIST]Physics [physics]/Physics archives, [ PHYS.HIST ] Physics [physics]/Physics archives, [PHYS.HIST] Physics/Physics archives, [PHYS.HIST] Physics [physics]/Physics archives
[PHYS.HIST]Physics [physics]/Physics archives, [ PHYS.HIST ] Physics [physics]/Physics archives, [PHYS.HIST] Physics/Physics archives, [PHYS.HIST] Physics [physics]/Physics archives
3 Research products, page 1 of 1
- 1992IsAmongTopNSimilarDocuments
- 2014IsAmongTopNSimilarDocuments
- 2012IsAmongTopNSimilarDocuments
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).56 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
