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Traveling waves and global oscillations triggered by attractive molecular interactions in an excitable system
dc.contributor.author | John, Karin |
dc.contributor.author | Alonso Muñoz, Sergio |
dc.contributor.author | Bär, Markus |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Física Aplicada |
dc.date.accessioned | 2015-02-13T09:55:09Z |
dc.date.available | 2015-02-13T09:55:09Z |
dc.date.created | 2014-11-17 |
dc.date.issued | 2014-11-17 |
dc.identifier.citation | John, K.; Alonso, S.; Bär, M. Traveling waves and global oscillations triggered by attractive molecular interactions in an excitable system. "Physical review E: statistical, nonlinear, and soft matter physics", 17 Novembre 2014, vol. 90, núm. 5, p. 052913-1-052913-7. |
dc.identifier.issn | 1539-3755 |
dc.identifier.uri | http://hdl.handle.net/2117/26332 |
dc.description.abstract | During pattern formation in spatially extended systems, different mechanisms with different characteristic length scales, e.g., reaction-diffusion processes or molecular interactions, can be active. Such multiscale effects may generate new phenomena, which are not observed in systems where pattern formation occurs on a single scale. Here, we derive and analyze a reaction-diffusion model of the FitzHugh-Nagumo type with short-range attractive molecular interactions of the activator species. The model exhibits a wave instability. Simulations in one and two dimensions show traveling waves with a wavelength set by the parameters of the molecular interaction in the model. In two dimensions, simulations reveal a labyrinthine arrangement of the waves in systems with isotropic diffusion, whereas parallel bands of counterpropagating waves are formed in simulations of a model with anisotropic diffusion. The latter findings are in good qualitative agreement with experimental observation in the catalytic NO+H2 reaction on an anisotropic Rh(110) surface. In addition we have identified a transition regime in the simulations, where a short scale instability triggers global oscillations in an excitable regime. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject.lcsh | Chaotic behavior in system |
dc.subject.lcsh | Oscillations |
dc.subject.lcsh | Bifurcation theory |
dc.title | Traveling waves and global oscillations triggered by attractive molecular interactions in an excitable system |
dc.type | Article |
dc.subject.lemac | Caos (Teoria de sistemes) |
dc.subject.lemac | Oscil·lacions |
dc.subject.lemac | Bifurcació, Teoria de la |
dc.identifier.doi | 10.1103/PhysRevE.90.052913 |
dc.description.peerreviewed | Peer Reviewed |
dc.rights.access | Open Access |
local.identifier.drac | 15430141 |
dc.description.version | Postprint (published version) |
local.citation.author | John, K.; Alonso, S.; Bär, M. |
local.citation.publicationName | Physical review E: statistical, nonlinear, and soft matter physics |
local.citation.volume | 90 |
local.citation.number | 5 |
local.citation.startingPage | 052913-1 |
local.citation.endingPage | 052913-7 |
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