2026-04-19T16:12:43Zhttps://recercat.cat/oai/requestoai:recercat.cat:2445/188422025-12-04T20:44:53Zcom_2072_1057col_2072_478822col_2072_478917
RECERCAT
author
Llas Rubio, Mateu
author
Gleiser, Pablo M.
author
López, Juan M.
author
Díaz Guilera, Albert
2011-07-07T12:53:50Z2011-07-07T12:53:50Z2003
We characterize the different morphological phases that occur in a simple one-dimensional model of propagation of innovations among economic agents [X. Guardiola et al., Phys. Rev E 66, 026121 (2002)]. We show that the model can be regarded as a nonequilibrium surface growth model. This allows us to demonstrate the presence of a continuous roughening transition between a flat (system size independent fluctuations) and a rough phase (system size dependent fluctuations). Finite-size scaling studies at the transition strongly suggest that the dynamic critical transition does not belong to directed percolation and, in fact, critical exponents do not seem to fit in any of the known universality classes of nonequilibrium phase transitions. Finally, we present an explanation for the occurrence of the roughening transition and argue that avalanche driven dynamics is responsible for the novel critical behavior.
(c) American Physical Society, 2003 info:eu-repo/semantics/openAccess
Física
Sistemes no lineals
Superfícies (Física)
Interfícies (Ciències físiques)
Pel·lícules fines
Physics
Nonlinear systems
Surfaces (Physics)
Interfaces (Physical sciences)
Thin films
Nonequilibrium phase transition in a model for the propagation of innovations among economic agents
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion