Synchronization of spatio-temporal chaos as an absorbing phase transition: a study in 2+1 dimensions (Articolo in rivista)

Type
Label
  • Synchronization of spatio-temporal chaos as an absorbing phase transition: a study in 2+1 dimensions (Articolo in rivista) (literal)
Anno
  • 2009-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1088/1742-5468/2009/12/P12018 (literal)
Alternative label
  • Ginelli F.; Cencini M.; Torcini A. (2009)
    Synchronization of spatio-temporal chaos as an absorbing phase transition: a study in 2+1 dimensions
    in Journal of statistical mechanics
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Ginelli F.; Cencini M.; Torcini A. (literal)
Pagina inizio
  • P12018 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • Dec. (literal)
Rivista
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • 1) Institut des Systémes Complexes Paris Île-de-France, 57–59 rue Lhomond, F-75005 Paris, France 2) CEA—Service de Physique de l'État Condensé, Centre d'Études de Saclay, F-91191 Gif-sur-Yvette, France 3) INFM-CNR, SMC Dipartimento di Fisica, Università di Roma 'La Sapienza', Piazzale Aldo Moro 2, I-00185 Roma, Italy 4) Istituto dei Sistemi Complessi—CNR, via dei Taurini 19, I-00185 Roma, Italy 5) Istituto dei Sistemi Complessi—CNR, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy 6) INFN—Sezione di Firenze and CSDC, via Sansone 1, I-50019 Sesto Fiorentino, Italy (literal)
Titolo
  • Synchronization of spatio-temporal chaos as an absorbing phase transition: a study in 2+1 dimensions (literal)
Abstract
  • The synchronization transition between two coupled replicas of spatio-temporal chaotic systems in 2+1 dimensions is studied as a phase transition into an absorbing state—the synchronized state. Confirming the scenario drawn in (1+1)-dimensional systems, the transition is found to belong to two different universality classes—multiplicative noise (MN) and directed percolation (DP)—depending on the linear or nonlinear character of damage spreading occurring in the coupled systems. By comparing a coupled map lattice with two different stochastic models, accurate numerical estimates for MN in 2+1 dimensions are obtained. Finally, aiming to pave the way for future experimental studies, slightly non-identical replicas have been considered. It is shown that the presence of small differences between the dynamics of the two replicas acts as an external field in the context of absorbing phase transitions and can be characterized in terms of a suitable critical exponent. (literal)
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