Thermal Properties of a Two-Dimensional Intrinsically Curved Semiflexible Biopolymer
周子聰1*
1物理系, 淡江大學, 新北市, Taiwan
* presenting author:Zicong Zhou, email:zzhou@mail.tku.edu.tw
We study the behaviors of mean end-to-end distance and specific heat of a two-dimensional intrinsically curved semiflexible biopolymer with a hard-core excluded volume interaction. We find that the mean square end-to-end distance R2N∝Nβ at large N, with N being the number of monomers. Both β and proportional constant are dependent on the reduced bending rigidity, κ, and intrinsic curvature, c. The larger the c, the smaller the proportional constant, and 1.5≧β≧1. Up to a moderate κ=κc, or down to a moderate temperature T=Tc, β=1.5, the same as that of a self-avoiding random walk, and the larger the intrinsic curvature, the smaller the κc. However, at a large κ or a low temperature, β is close to 1, and the conformation of the biopolymer can be more compact than that of a random walk. There is an intermediate regime with 1.5≧β≧1 and the transition from β=1.5 to β=1 is smooth. The specific heat of the system increases smoothly with increasing κ or there is not any peak in specific heat. Therefore, a nonvanishing intrinsic curvature affects seriously the thermal properties of a semiflexible biopolymer, but there is no phase transition in the system.


Keywords: thermal property, semiflexible biopolymer, intrinsic curvature