an:01064376
Zbl 0885.60034
Nelson, David R.; Kamien, Randall D.
Polymer braids and iterated moir?? maps
EN
Jerison, David (ed.) et al., The legacy of Norbert Wiener: a centennial symposium. In honor of the 100th anniversary of Norbert Wiener's birth, October 8-14, 1994, Cambridge, MA, USA. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 60, 261-271 (1997).
1997
a
60G18 82D60 82D30
dense packings of long polymers; triangular lattice of rigid rods; twisted bond order
Summary: Crystalline order in dense packings of long polymers with a definite handedness is difficult to reconcile with the tendency of these chiral objects to twist and braid about each other. If the chirality is weak, the state of lowest energy is a triangular lattice of rigid rods. When the chirality is strong, however, screw dislocations proliferate, leading to either a tilt grain boundary phase or a new ``moir?? state'' with twisted bond order. In the latter case, polymer trajectories in the plane perpendicular to their average direction are described by iterated moir?? maps of remarkable complexity, reminiscent of dynamical systems.
For the entire collection see [Zbl 0869.00026].