Nonequilibrium phase transition in a model for the propagation of innovations among economic agents
arXiv:cond-mat/0309544 · doi:10.1103/PhysRevE.68.066101
Abstract
We characterize the different morphological phases that occur in a simple one-dimensional model of propagation of innovations among economic agents [X.\ Guardiola, {\it et. al.}, Phys. Rev E {\bf 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.
References in corpus (10)
- Statistical mechanics of complex networks
- The structure and function of complex networks
- Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
- Nonequilibrium phase transition in a model for social influence
- Nonequilibrium transitions in complex networks: a model of social interaction
- Modelling diffusion of innovations in a social network
- Smooth Phases, Roughening Transitions and Novel Exponents in One-dimensional Growth Models
- Self-organized evolution in socio-economic environments
- Nonequilibrium roughening transition in a simple model of fungal growth in 1+1 dimensions
- Optimization as a result of the interplay between dynamics and structure
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