PMID: 12786250Jun 6, 2003Paper

Noise-sustained structures in differential-flow reactors with autocatalytic kinetics

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Bernardo von Haeften, Gonzalo G Izús

Abstract

We have studied the formation of noise-sustained structures in a differential-flow reactor with cubic autocatalytic kinetics (the Gray-Scott model). In this system the interplay between advection, diffusion, reaction, and noise fluctuations leads to the formation of noise-sustained patterns in the key species. Numerical integration in one and two spatial dimensions shows that the structures are nonlocally cross correlated. Near threshold, the observed correlation is related to the properties of the convectively unstable critical modes.

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Citations

Oct 7, 2011·The Journal of Chemical Physics·Debojyoti DasDeb Shankar Ray
Jun 25, 2010·The Journal of Chemical Physics·Gonzalo G IzúsAlejandro D Sánchez
Jan 15, 2016·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sergio E Mangioni
Mar 26, 2013·Physical Review Letters·François LeoMajid Taki
Mar 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·B von HaeftenH S Wio
Feb 4, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Gonzalo G Izús, Alejandro D Sánchez
Feb 26, 2013·Physical Review Letters·P Parra-RivasP Colet
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sergio E Mangioni, Horacio S Wio

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