中国物理B ›› 2015, Vol. 24 ›› Issue (2): 28701-028701.doi: 10.1088/1674-1056/24/2/028701

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇    下一篇

Stretching instability of intrinsically curved semiflexible biopolymers: A lattice model approach

周子聪, 林方庭, 陈柏翰   

  1. Department of Physics, Tamkang University, Yingzhuan Road, Danshui Dist., New Taipei City, Taiwan, China
  • 收稿日期:2014-08-10 修回日期:2014-09-16 出版日期:2015-02-05 发布日期:2015-02-05
  • 基金资助:
    Project supported by the Funds from MOST and “National” Center for Theoretical Physics (NCTS).

Stretching instability of intrinsically curved semiflexible biopolymers: A lattice model approach

Zhou Zi-Cong (周子聪), Lin Fang-Ting (林方庭), Chen Bo-Han (陈柏翰)   

  1. Department of Physics, Tamkang University, Yingzhuan Road, Danshui Dist., New Taipei City, Taiwan, China
  • Received:2014-08-10 Revised:2014-09-16 Online:2015-02-05 Published:2015-02-05
  • Contact: Zhou Zi-Cong E-mail:zzhou@mail.tku.edu.tw
  • Supported by:
    Project supported by the Funds from MOST and “National” Center for Theoretical Physics (NCTS).

摘要: We apply a Monte Carlo simulation method to lattice systems to study the effect of an intrinsic curvature on the mechanical property of a semiflexible biopolymer. We find that when the intrinsic curvature is sufficiently large, the extension of a semiflexible biopolymer can undergo a first-order transition at finite temperature. The critical force increases with increasing intrinsic curvature. However, the relationship between the critical force and the bending rigidity is structure-dependent. In a triangle lattice system, when the intrinsic curvature is smaller than a critical value, the critical force increases with the increasing bending rigidity first, and then decreases with the increasing bending rigidity. In a square lattice system, however, the critical force always decreases with the increasing bending rigidity. In contrast, when the intrinsic curvature is greater than the critical value, the larger bending rigidity always results in a larger critical force in both lattice systems.

关键词: semiflexible biopolymer, intrinsic curvature, mechanical property, phase transition

Abstract: We apply a Monte Carlo simulation method to lattice systems to study the effect of an intrinsic curvature on the mechanical property of a semiflexible biopolymer. We find that when the intrinsic curvature is sufficiently large, the extension of a semiflexible biopolymer can undergo a first-order transition at finite temperature. The critical force increases with increasing intrinsic curvature. However, the relationship between the critical force and the bending rigidity is structure-dependent. In a triangle lattice system, when the intrinsic curvature is smaller than a critical value, the critical force increases with the increasing bending rigidity first, and then decreases with the increasing bending rigidity. In a square lattice system, however, the critical force always decreases with the increasing bending rigidity. In contrast, when the intrinsic curvature is greater than the critical value, the larger bending rigidity always results in a larger critical force in both lattice systems.

Key words: semiflexible biopolymer, intrinsic curvature, mechanical property, phase transition

中图分类号:  (Elasticity theory)

  • 87.10.Pq
36.20.Ey (Conformation (statistics and dynamics)) 87.15.A- (Theory, modeling, and computer simulation) 87.10.Rt (Monte Carlo simulations)