Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (10): 1233-1238.doi: https://doi.org/10.1007/s10483-014-1862-9

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Stretching strongly confined semiflexible polymer chain

王记增, 李润华   

  1. Key Laboratory of Mechanics on Disaster and Environment in Western China, the Ministry of Education, College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, P. R. China
  • 收稿日期:2013-05-22 修回日期:2013-12-19 出版日期:2014-10-01 发布日期:2014-10-01
  • 通讯作者: Ji-zeng WANG, jzwang@lzu.edu.cn E-mail:jzwang@lzu.edu.cn
  • 基金资助:
    Project supported the National Natural Science Foundation of China (Nos. 11032006, 11072094, and 11121202), the Ph.D. Program Foundation of Ministry of Education of China (No. 20100211110022), the National Key Project of Magneto-Constrained Fusion Energy Development Program of China (No. 2013GB110002), and the Fundamental Research Funds for the Central Universities (No. lzujbky- 2013-1)

Stretching strongly confined semiflexible polymer chain

Ji-zeng WANG, Run-hua LI   

  1. Key Laboratory of Mechanics on Disaster and Environment in Western China, the Ministry of Education, College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, P. R. China
  • Received:2013-05-22 Revised:2013-12-19 Online:2014-10-01 Published:2014-10-01
  • Supported by:
    Project supported the National Natural Science Foundation of China (Nos. 11032006, 11072094, and 11121202), the Ph.D. Program Foundation of Ministry of Education of China (No. 20100211110022), the National Key Project of Magneto-Constrained Fusion Energy Development Program of China (No. 2013GB110002), and the Fundamental Research Funds for the Central Universities (No. lzujbky- 2013-1)

摘要: By the so-called wormlike chain (WLC) model in polymer physics envision- ing an isotropic rod that is continuously flexible, the force-extension relations of semi- flexible polymer chains strongly constrained by various confinements are theoretically investigated, including a slab-like confinement where the polymer chains are sandwiched between two parallel impenetrable walls, and a capped nanochannel confinement with a circular or rectangular cross-section where the chains are bounded in three directions. The Brownian dynamics (BD) simulations based on the generalized bead-rod (GBR) model are performed to verify the theoretical predictions.

关键词: confinement, wormlike chain (WLC) model, Brownian dynamics (BD) simulation, semiflexible polymer chain

Abstract: By the so-called wormlike chain (WLC) model in polymer physics envision- ing an isotropic rod that is continuously flexible, the force-extension relations of semi- flexible polymer chains strongly constrained by various confinements are theoretically investigated, including a slab-like confinement where the polymer chains are sandwiched between two parallel impenetrable walls, and a capped nanochannel confinement with a circular or rectangular cross-section where the chains are bounded in three directions. The Brownian dynamics (BD) simulations based on the generalized bead-rod (GBR) model are performed to verify the theoretical predictions.

Key words: wormlike chain (WLC) model, semiflexible polymer chain, confinement, Brownian dynamics (BD) simulation

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