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By Pierre Borckmans, Patrick de Kepper, Alexei R. Khokhlov, S. Métens

ISBN-10: 9048129915

ISBN-13: 9789048129911

ISBN-10: 9048129923

ISBN-13: 9789048129928

ISBN-10: 9048129931

ISBN-13: 9789048129935

The current quantity comprises many of the fabric of the invited lectures introduced on the NATO complex examine Institute “Morphogenesis throughout the interaction of nonlinear chemical instabilities and elastic lively media” held from 2th to 14th July 2007 on the Institut d’Etudes Scientifiques de Cargèse (http://www.iesc.univ-corse.fr/), in Corsica (France). This conventional position to prepare summer time faculties and Workshops in a good outfitted secluded position on the border of the Mediterranean sea has, over decades now, earned an expanding deserved recognition. Non-linear dynamics of non equilibrium platforms has labored its approach right into a nice variety of fields and performs a key position within the knowing of se- association and emergence phenomena in domain names as diversified as chemical reactors, laser physics, fluid dynamics, digital units and organic morphogenesis. within the latter case, the viscoelastic homes of tissues also are identified to play a key function. The keep watch over and formula of sentimental responsive or “smart” fabrics has been a quick starting to be box of fabric technology, particularly within the region of po- mer networks, as a result of their becoming purposes in bio-science, chemical sensors, clever microfluidic units, … . Nature is a crucial p- vider of lively fabrics even if on the point of tissues or at that of s- mobile buildings. thus, the elemental figuring out of the actual mechanisms at play in responsive fabrics additionally shines mild within the realizing of organic artefacts.

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Gy. R´abai, ACH Mod. Chem. 135, 381 (1998). 25. Gy. T. Beck, K. R. Epstein, J. Phys. Chem. 93, 2853 (1989). 26. Zs. Vir´anyi, I. Szalai, J. Boissonade, P. De Kepper, J. Phys. Chem. A 111, 8090 (2007). 27. H. Landolt, Ber. Dtsch. Chem. Ges. 19, 1316 (1886). 28. C. Edblom, Y. Luo, M. Orb´an, K. R. Epstein, J. Phys. Chem. 93, 2722 (1989). 29. G. Sz´ant´o, Gy. R´abai, J. Phys. Chem. A109, 5398 (2005). 30. N. Okazaki, Gy. R´abai, I. Hanazaki, J. Phys. Chem. A103, 10915 (1999). 31. Gy. R´abai, I. Hanazaki, J.

44 R. 3. PERISTALTIC MOTION OF GELS When a one-dimensional rectangular piece of gel is immersed in an aqueous solution containing the three reactants of the BZ reaction. The chemical waves propagate in the gel at a constant speed in the direction of the gel length [18–21]. Considering the Ru(II) and Ru(III) zones represent simply the shrunken and swollen parts respectively, the locally swollen and shrunken parts move with the chemical wave, like the peristaltic motion of living worms. The propagation of the chemical wave makes the free end of the gel move back and forth at a rate corresponding to the wave propagation speed.

D x ∇2 x] ∂t (25) Introducing the slow diffusing complexing agent does not change the steady state solution of the system but rescales the space and time scales of species X by a factor σ and thus can change the time and space stability of this steady state. This derivation can be made more rigorous but the result remains valid in the frame of our approximations. If X is an activatory species, it can have an apparent diffusion coefficient lower than the that of the inhibitory species, say Y, for which the diffusion and time scale of evolution remain unchanged.

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Chemomechanical Instabilities in Responsive Materials by Pierre Borckmans, Patrick de Kepper, Alexei R. Khokhlov, S. Métens


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