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Clerc MG, Tirapegui E, Trejo M. Pattern formation and localized structures in reaction-diffusion systems with non-Fickian transport. Phys Rev Lett. 2006;97(17):176102doi: 10.1103/PhysRevLett.97.176102.
Clerc, M. G., Tirapegui, E., & Trejo, M. (2006). Pattern formation and localized structures in reaction-diffusion systems with non-Fickian transport. Physical review letters, 97(17), 176102. https://doi.org/10.1103/PhysRevLett.97.176102
Clerc, M G, et al. "Pattern formation and localized structures in reaction-diffusion systems with non-Fickian transport." Physical review letters vol. 97,17 (2006): 176102. doi: https://doi.org/10.1103/PhysRevLett.97.176102
Clerc MG, Tirapegui E, Trejo M. Pattern formation and localized structures in reaction-diffusion systems with non-Fickian transport. Phys Rev Lett. 2006 Oct 27;97(17):176102. doi: 10.1103/PhysRevLett.97.176102. Epub 2006 Oct 25. PMID: 17155485.
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Phys Rev Lett. 2006 Oct 27;97(17):176102. doi: 10.1103/PhysRevLett.97.176102. Epub 2006 Oct 25.

Pattern formation and localized structures in reaction-diffusion systems with non-Fickian transport.

Physical review letters

M G Clerc, E Tirapegui, M Trejo

Affiliations

  1. Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile.

PMID: 17155485 DOI: 10.1103/PhysRevLett.97.176102

Abstract

We study the robust dynamical behaviors of reaction-diffusion systems where the transport gives rise to non-Fickian diffusion. A prototype model describing the deposition of molecules in a surface is used to show the generic appearance of Turing structures which can coexist with homogeneous states giving rise to localized structures through the pinning mechanism. The characteristic lengths of these structures are in the nanometer region in agreement with recent experimental observations.

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