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2008

Cusps, self-organization, and absorbing states

Bonachela, Juan A., Alava, Mikko, Munoz, Miguel A.

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Elastic interfaces embedded in (quenched) random media exhibit meta-stability and stick-slip dynamics.

These non-trivial 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 non-conserved systems in the directed percolation class, are also shown to exhibit cusps, but of a different type.

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