Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2007-04-27
Europhys. Lett. 2007, v. 79, 56004
Physics
Condensed Matter
Soft Condensed Matter
6 pages, 3 figures
Scientific paper
10.1209/0295-5075/79/56004
To enlighten the nature of the order-disorder and order-order transitions in block copolymer melts confined in narrow capillaries we analyze peculiarities of the conventional Landau weak crystallization theory of systems confined to cylindrical geometry. This phenomenological approach provides a quantitative classification of the cylindrical ordered morphologies by expansion of the order parameter spatial distribution into the eigenfunctions of the Laplace operator. The symmetry of the resulting ordered morphologies is shown to strongly depend both on the boundary conditions (wall preference) and the ratio of the cylinder radius and the wave length of the critical order parameter fluctuations, which determine the bulk ordering of the system under consideration. In particular, occurrence of the helical morphologies is a rather general consequence of the imposed cylindrical symmetry for narrow enough capillaries. We discuss also the ODT and OOT involving some other simplest morphologies. The presented results are relevant also to other ordering systems as charge-density waves appearing under addition of an ionic solute to a solvent in its critical region, weakly charged polyelectrolyte solutions in poor solvent, microemulsions etc.
Erukhimovich Igor
Johner Albert
No associations
LandOfFree
Helical, Angular and Radial Ordering in Narrow Capillaries does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Helical, Angular and Radial Ordering in Narrow Capillaries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Helical, Angular and Radial Ordering in Narrow Capillaries will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-367290