Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/18842
Title: Nonequilibrium phase transition in a model for the propagation of innovations among economic agents
Author: Llas, Mateu
Gleiser, Pablo M.
López, Juan M.
Díaz Guilera, Albert
Keywords: Física
Sistemes no lineals
Superfícies (Física)
Interfícies (Ciències físiques)
Pel·lícules fines
Physics
Nonlinear systems
Surfaces (Physics)
Interfaces (Physical sciences)
Thin films
Issue Date: 2003
Publisher: The American Physical Society
Abstract: 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.
Note: Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.68.066101
It is part of: Physical Review E, 2003, vol. 68, núm. 6, p. 066101-1-066101-6
URI: http://hdl.handle.net/2445/18842
ISSN: 1063-651X
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

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