Percolation thresholds in chemical disordered excitable media

I. Sendiña-Nadal; D. Roncaglia; D. Vives; V. Pérez-Muñuzuri; M. Gómez-Gesteira; V. Pérez-Villar; J. Echave; J. Casademunt; L. Ramírez-Piscina; F. Sagués

doi:10.1103/PhysRevE.58.R1183

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Percolation thresholds in chemical disordered excitable media

I. Sendiña-Nadal, D. Roncaglia, D. Vives, V. Pérez-Muñuzuri, M. Gómez-Gesteira, V. Pérez-Villar, J. Echave, J. Casademunt, L. Ramírez-Piscina, and F. Sagués

Phys. Rev. E 58, R1183(R) – Published 1 August 1998

Abstract

The behavior of chemical waves advancing through a disordered excitable medium is investigated in terms of percolation theory and autowave properties in the framework of the light-sensitive Belousov-Zhabotinsky reaction. By controlling the number of sites with a given illumination, different percolation thresholds for propagation are observed, which depend on the relative wave transmittances of the two-state medium considered.

Received 14 April 1998

DOI:https://doi.org/10.1103/PhysRevE.58.R1183

Authors & Affiliations

I. Sendiña-Nadal^1,*, D. Roncaglia², D. Vives³, V. Pérez-Muñuzuri¹, M. Gómez-Gesteira¹, V. Pérez-Villar¹, J. Echave², J. Casademunt⁴, L. Ramírez-Piscina⁵, and F. Sagués³

¹Group of Nonlinear Physics, Faculty of Physics, University of Santiago de Compostela, 15706 Santiago de Compostela, Spain
²Centro de Estudios e Investigaciones (CEI), Universidad Nacional de Quílmes, Saenz Peña 180, 1876 Bernal, Argentina
³Departament de Química Física, Universitat de Barcelona, Diagonal 647, 08028 Barcelona, Spain
⁴Departament d’Estructura i Constituents de la Matèria, Universitat de Barcelona, Diagonal 647, 08028 Barcelona, Spain
⁵Departament de Física Aplicada, Universitat Politècnica de Catalunya, Gregorio Marañón 44, 08028 Barcelona, Spain

^*Author to whom correspondence should be addressed. Electronic address: irene@fmmeteo.usc.es

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Vol. 58, Iss. 2 — August 1998

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics