Cusps, self-organization, and absorbing states
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Physical Review E, Volume 79, issue 5, pp. 1-4
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
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Alava, M, Bonachela, J A & Munoz, M 2009, 'Cusps, self-organization, and absorbing states', Physical Review E, vol. 79, no. 5, 050106, pp. 1-4. https://doi.org/10.1103/PhysRevE.79.050106