Cusps, self-organization, and absorbing states

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Journal Title
Journal ISSN
Volume Title
School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2009
Major/Subject
Mcode
Degree programme
Language
en
Pages
050106/1-4
Series
Physical Review E, Volume 79, Issue 5
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.
Description
Keywords
statistical physics, elastic interfaces, disordered media
Other note
Citation
Bonachela, Juan A. & Alava, Mikko J. & Muñoz, Miguel A. 2009. Cusps, self-organization, and absorbing states. Physical Review E. Volume 79, Issue 5. 050106/1-4. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.79.050106.