Solvent-dependence of the characteristic scaling exponent for single polymer chain with finite length

doi:10.7523/j.issn.2095-6134.2018.05.005

›› 2018, Vol. 35 ›› Issue (5): 602-606.DOI: 10.7523/j.issn.2095-6134.2018.05.005

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Solvent-dependence of the characteristic scaling exponent for single polymer chain with finite length

ZHANG Shuangshuang¹, MIAO Bing², SUO Tongchuan³

1. Department of Physics, Beijing Normal University, Beijing 100875, China;
2. College of Materials Science and Opto-Electronic Technology, University of Chinese Academy of Sciences, Beijing 100049, China;
3. College of Pharmaceutical Engineering of Traditional Chinese Medicine, Tianjin University of Traditional Chinese Medicine, Tianjin 300193, China

Received:2017-05-05 Revised:2017-05-23 Online:2018-09-15

Abstract

Abstract: We employ the self-consistent field theory (SCFT) with the help of Monte Carlo technique to study the scaling behavior of the radius of gyration R_g of a single polymer chain with respect to the chain length N. The numerical results indicate the scaling exponent ν≈0.495 for Θ-solvent, which is a typical ideal chain behavior. However, for good solvent cases, the ν value displays explicit dependence on the solvent quality and is always lower than the classical prediction of 0.6. We argue that such a discrepancy is mainly attributed to the finite chain length effect.

Key words: single polymer chain, radius of gyration, scaling exponent, self-consistent field theory, Monte Carlo technique

CLC Number:

O631.1

ZHANG Shuangshuang, MIAO Bing, SUO Tongchuan. Solvent-dependence of the characteristic scaling exponent for single polymer chain with finite length[J]. , 2018, 35(5): 602-606.

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Solvent-dependence of the characteristic scaling exponent for single polymer chain with finite length

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