Journal Article PreJuSER-4215

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Structure and dynamics of cylindrical micelles at equilibrium and under shear flow

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2009
APS College Park, Md.

Physical review / E 79(4), 041501 () [10.1103/PhysRevE.79.041501]

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Abstract: The dynamics and rheology of semidilute unentangled micellar solutions are investigated by Langevin dynamics mesoscopic simulations coupled to a microreversible kinetic model for scissions and recombinations. Two equilibrium state points, differing by the scission energy and therefore by the corresponding average micelle length, have been examined. The kinetic rates are tuned by an independent parameter of the model, whose range is chosen in such a way that the kinetics always strongly couple to the chain dynamics. Our results confirm, as predicted by Faivre and Gardissat, that the stress relaxation, as well as the monomer diffusion, is characterized by a time tau(Lambda), defined by the lifetime of a segment Lambda, whose Rouse relaxation time is equal to its lifetime. Moreover, the power-law dependence of the zero-shear viscosity versus tau(Lambda) was evidenced. Under stationary shear, the chains are deformed and their average bond length is increased, which enhances the overall scission frequency. In turn, this induces an overall shortening of the chains in order to increase the overall corresponding chain-end recombination frequency, as required by the stationary conditions. Nonequilibrium simulations show that the chain deformation and orientation, as well as the rheology of the system, can be expressed as universal functions of a single reduced shear rate beta(Lambda)=gamma tau(Lambda) (with gamma the bare shear rate). Furthermore, local analysis of the kinetics under stationary shear gives insights on the variation of the average length with shear rate.

Keyword(s): J ; bond lengths (auto) ; colloids (auto) ; deformation (auto) ; diffusion (auto) ; flow simulation (auto) ; reaction kinetics theory (auto) ; rheology (auto) ; shear flow (auto) ; stress relaxation (auto) ; viscosity (auto)


Note: This work has benefitted from numerous discussions with J. Wittmer of the Ch. Sadron Institute and with M. Baus of the Univeriste Libre de Bruxelles. Thanks are also due to G. Destree of the Centre de Calcul of the ULB/VUB for technical help. C. C. H. was financially supported partly by the Action de Recherche Concertee No. 00/05-257 of the Communaute Francaise de Belgique and partly by the Region Lorraine (France). The computing resources of the French center CINES and of the PMMS of the Universite de Metz are gratefully acknowledged.

Contributing Institute(s):
  1. Theorie der Weichen Materie und Biophysik (IFF-2)
Research Program(s):
  1. Kondensierte Materie (P54)

Appears in the scientific report 2009
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American Physical Society Transfer of Copyright Agreement ; OpenAccess
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 Record created 2012-11-13, last modified 2024-06-10