中国物理B ›› 2017, Vol. 26 ›› Issue (3): 38701-038701.doi: 10.1088/1674-1056/26/3/038701
• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇 下一篇
Thermal properties of a two-dimensional intrinsically curved semiflexible biopolymer
Zicong Zhou(周子聪), Yanting Wang(王延颋)
- 1 Department of Physics, Tamkang University, New Taipei City, Taiwan, China;
2 CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China;
3 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
Thermal properties of a two-dimensional intrinsically curved semiflexible biopolymer
Zicong Zhou(周子聪)1, Yanting Wang(王延颋)2,3
- 1 Department of Physics, Tamkang University, New Taipei City, Taiwan, China;
2 CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China;
3 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
摘要：
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 the mean square end-to-end distance RN2∝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 no peak in the specific heat. Therefore, a nonvanishing intrinsic curvature seriously affects the thermal properties of a semiflexible biopolymer, but there is no phase transition in the system.
中图分类号: (Filaments, microtubules, their networks, and supramolecular assemblies)
- 87.16.Ka