Cusps, self-organization, and absorbing states

Mikko Alava, Juan A. Bonachela, Miguel Munoz

Research output: Contribution to journalArticleScientificpeer-review

8 Citations (Scopus)
2 Downloads (Pure)

Abstract

Elastic interfaces embedded in (quenched) random media exhibit metastability and stick-slip dynamics. These nontrivial dynamical features have been shown to be associated with cusp singularities of the coarse-grained disorder correlator. Here we show that annealed systems with many absorbing states and a conservation law but no quenched disorder exhibit identical cusps. On the other hand, similar nonconserved systems in the directed percolation class are also shown to exhibit cusps but of a different type. These results are obtained both by a recent method to explicitly measure disorder correlators and by defining an alternative new protocol inspired by self-organized criticality, which opens the door to easily accessible experimental realizations.
Original languageEnglish
Article number050106
Pages (from-to)1-4
JournalPhysical Review E
Volume79
Issue number5
DOIs
Publication statusPublished - 2009
MoE publication typeA1 Journal article-refereed

Keywords

  • statistical physics

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