UNSPECIFIED. (2002) Pattern formation on anisotropic and heterogeneous catalytic surfaces. CHAOS, 12 (1). pp. 204-214. ISSN 1054-1500

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Abstract

We review experimental and theoretical work addressing pattern formation on anisotropic and heterogeneous catalytic surfaces. These systems are typically modeled by reaction-diffusion equations reflecting the kinetics and transport of the involved chemical species. Here, we demonstrate the influence of anisotropy and heterogeneity in a simplified model, the FitzHugh-Nagumo equations. Anisotropy causes stratification of labyrinthine patterns and spiral defect chaos in bistable media. For heterogeneous media, we study the situation where the heterogeneity appears on a length scale shorter than the typical pattern length scale. Homogenization, i.e., computation of effective medium properties, is applied to an example and illustrated with simulations in one (fronts) and two dimensions (spirals). We conclude with a discussion of open questions and promising directions that comprise the coupling of the microscopic structure of the surface to the macroscopic concentration patterns and the fabrication of nanostructures with heterogeneous surfaces as templates. (C) 2002 American Institute of Physics.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Journal or Publication Title:	CHAOS
Publisher:	AMER INST PHYSICS
ISSN:	1054-1500
Date:	March 2002
Volume:	12
Number:	1
Number of Pages:	11
Page Range:	pp. 204-214
Identification Number:	10.1063/1.1450565
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/11200

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