논문
Best packing of identical helices
- 저자Youngsik Huh, Kyungpyo Hong, Hyoungjun Kim, Sungjong No and Seungsang Oh
- 학술지Journal of Physics A: Mathematical and Theoretical 49(41)
- 등재유형
- 게재일자(2016)
In this paper we prove the unique existence of a ropelength-minimizing conformation of the θ-spun double helix in a mathematically rigorous way, and find the minimal ropelength 
where tis the unique solution in ![$[-\theta ,0]$](http://cdn.iopscience.com/images/1751-8121/49/41/415205/jpaaa3e2dieqn2.gif)
of the equation 
. Using this result, the pitch angles of the standard, triple and quadruple helices are around 
, 
and 
, respectively, which are almost identical with the approximated pitch angles of the zero-twist structures previously known by Olsen and Bohr. We also find the ropelength of the standard N-helix.
In this paper we prove the unique existence of a ropelength-minimizing conformation of the θ-spun double helix in a mathematically rigorous way, and find the minimal ropelength where tis the unique solution in of the equation . Using this result, the pitch angles of the standard, triple and quadruple helices are around , and , respectively, which are almost identical with the approximated pitch angles of the zero-twist structures previously known by Olsen and Bohr. We also find the ropelength of the standard N-helix.
