1. Layering Transitions of Ribbon Polymers in Poor Solvents
Yasuo Y. Suzuki
Faculty of Engineering, Takushoku University, Hachioji, Tokyo , Japan
D. R. M. Williams
Research School of Physical Sciences, Australian National University, Canberra, ACT 0200, Australia
1. Ribbon Polymers
3. Layering Transitions in Tubular Condensates
Anisotropic semiflexible polymers in biotechnology and nanotechnology
DNA, ladder polymers, conducting polymers
Free energy
Bending energy
Size of Tubular
Ribbon
For a circular ring of radius R Ro n
Surface energy Ri
Tubulus
Multilayer Annuli L
2. Ribbon Polymers in Poor Solvents (Annular Condensates)
We found that these condensates undergo a number of distinct layering transitions as a function of ribbon length or surface tension: a sudden jump in Ro at the transition from n to n+1 layers. This quantization is a direct consequence of the anisotropic elasticity.
Free energy
Volume conservation
4. A Special Example (Helix Condensates)
Annulus
The anisotropy depends heavily on the details of chemical bonding.
Fluctuations
Fluctuations will be less than the annular thickness.
The annular will be well-defined and relatively flat.
Helix