Comment on “Flow-induced arrest of spatiotemporal chaos and transition to a stationary pattern in the Gray-Scott model”

Igal Berenstein, Carsten Beta, and Yannick De Decker
Phys. Rev. E 94, 046201 – Published 7 October 2016

Abstract

In this Comment, we review the results of pattern formation in a reaction-diffusion-advection system following the kinetics of the Gray-Scott model. A recent paper by Das [Phys. Rev. E 92, 052914 (2015)] shows that spatiotemporal chaos of the intermittency type can disappear as the advective flow is increased. This study, however, refers to a single point in the space of kinetic parameters of the original Gray-Scott model. Here we show that the wealth of patterns increases substantially as some of these parameters are changed. In addition to spatiotemporal intermittency, defect-mediated turbulence can also be found. In all cases, however, the chaotic behavior is seen to disappear as the advective flow is increased, following a scenario similar to what was reported in our earlier work [I. Berenstein and C. Beta, Phys. Rev. E 86, 056205 (2012)] as well as by Das. We also point out that a similar phenomenon can be found in other reaction-diffusion-advection models, such as the Oregonator model for the Belousov-Zhabotinsky reaction under flow conditions.

  • Figure
  • Received 15 March 2016

DOI:https://doi.org/10.1103/PhysRevE.94.046201

©2016 American Physical Society

Authors & Affiliations

Igal Berenstein1, Carsten Beta2, and Yannick De Decker1

  • 1NonLinear Physical Chemistry Unit and Interdisciplinary Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Campus Plaine, Case Postale 231, B-1050 Brussels, Belgium
  • 2Institute of Physics and Astronomy, University of Potsdam, Karl-Liebknecht-Straße 24/25, 14476 Potsdam, Germany

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Vol. 94, Iss. 4 — October 2016

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