The problem of ring formation in solutions of cylindrical micelles is reinvestigated theoretically, taking into account a finite bending rigidity of the self-assembled linear objects. Transitions between three regimes are found when the scission energy is sufficiently large. At very low densities only spherical and very short, rod-like micelles form. Beyond a critical density, mainly rings but also worm-like chains appear in (virtually) fixed relative amounts. Above a second transition both the length of the linear chains and the relative amount of material taken up by them increase rapidly with increasing concentration. The mass accumulated into long, semi-flexible worms then overwhelms that in rings. The ring-dominated regime is very narrow for semi-flexible chains, confirming that the presence of rings may be difficult to observe in many micellar systems, and indeed disappears completely for sufficiently low scission energy and/or large persistence length.
|Number of pages||5|
|Journal||Macromolecular Theory and Simulations|
|Publication status||Published - 1999|
Schoot, van der, P. P. A. M., & Wittmer, J. P. (1999). Linear aggregation revisited: rods, rings and worms. Macromolecular Theory and Simulations, 8(5), 428-432. https://doi.org/10.1002/(SICI)1521-3919(19990901)8:5<428::AID-MATS428>3.3.CO;2-O, https://doi.org/10.1002/(SICI)1521-3919(19990901)8;5<428;;AID-MATS428>3.3.CO;2-O