作者: William M. Gelbart , Avinoam Ben-Shaul , Shi-Qing Wang , Robijn Bruinsma
DOI: 10.1007/978-1-4615-3836-3_7
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摘要: We describe here the first theoretical attempts to treat effects of viscous forces on sizes rod-like micellar aggregates. When rate micellization is sufficiently slow compared rotational diffusion, an effective potential associated with elongational flow can be incorporated directly into usual statistical thermodynamics self-assembly; in “fast reaction” limit, other hand, a Smoluchowski-type equation for time-dependent distribution and orientations must employed. For shear flow, kinetic scheme introduced from outset, “breaking” “combination” constants depending imposed velocity gradient. The rods are found increase dramatically size at critical which varies as -3/2 power surfactant concentration. Similar behavior alternative formulation, steady-state solution dynamic diffusion presence combined self-consistently obtained equilibrium without flow. crucial time-scale separations implicit these various treatments discussed critically context recent experimental determune gradients aggregation.