Dynamical failure of turing patterns

Europhysics Letters

Volumn 74, Issue 5, 2006, Pages 837-843

  Manor, A ^a   Shnerb, N M ^a  

^a BAR ILAN UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33745046017     PISSN: 02955075     EISSN: 12864854     Source Type: Journal    
DOI: 10.1209/epl/i2005-10580-5     Document Type: Article

References (13)

1. TURING A. M., Philos. Trans. R. Soc. London, Ser. B, 237 (1952) 37.
2. See, e.g., MURRAY J. D., Mathematical Biology (Springer-Verlag, New York) 1993.
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4. CROSS M. C. and HOHENBERG P., Rev. Mod. Phys., 65 (1993) 851;
5. MAINI P. K. et al., J. Chem. Soc. Faraday Trans., 93 (1997) 3601.
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7. LEFEVER R. and LEJEUNE O., Bull. Math. Biol., 59 (1997) 263;
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11. KOCKELKOREN J., LEMAITRE A. and CHATE H., Physica A, 288 (2000) 326.
12. Pattern formation and Turing instability have been recently demonstrated for a Belousov-Zhabotinsky system dispersed in water droplets of a reverse AOT microemulsion, see VANAG V. K. and EPSTEIN I. R., Phys. Rev. Lett., 87 (2001) 228301. The reaction takes place on diffusivly coupled, discrete patches; one may expect a transition to the glassy phase if the typical time associated with the migration of the slow reactant molecule between neighboring droplets is large enough.
13. See, e.g., TALBOT J., TARJUS G., VAN-TASSEL P. R. and VIOT P., Colloids Surf. A, 165 (2000) 287, and references therein.