Abelian threshold models and forced weakening
Mean field slider block models have provided an important entry point for understanding the behavior of discrete driven threshold systems. We present a method of constructing these models with an arbitrary frictional weakening function. This `forced weakening' method unifies several existing ap...
Gespeichert in:
Hauptverfasser: | , , |
---|---|
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext bestellen |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Zusammenfassung: | Mean field slider block models have provided an important entry point for
understanding the behavior of discrete driven threshold systems. We present a
method of constructing these models with an arbitrary frictional weakening
function. This `forced weakening' method unifies several existing approaches,
and multiplies the range of possible weakening laws. Forced weakening also
results in Abelian rupture propagation, so that an avalanche size depends only
on the initial stress distribution. We demonstrate how this may be used to
accurately predict the long-time event statistics of a simulation. |
---|---|
DOI: | 10.48550/arxiv.cond-mat/0103452 |