INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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Distribution of a polymer chain between two interconnected spherical cavities |
Chao Wang(王超)1,†, Ying-Cai Chen(陈英才)1, Shuang Zhang(张爽)2, Hang-Kai Qi(齐航凯)3, and Meng-Bo Luo(罗孟波)3,‡ |
1 Department of Physics, Taizhou University, Taizhou 318000, China 2 College of Science, Beibu Gulf University, Qinzhou 535011, China 3 Department of Physics, Zhejiang University, Hangzhou 310027, China |
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Abstract The equilibrium distribution of a polymer chain between two interconnected spherical cavities (a small one with radius Rs and a large one with radius Rl) is studied by using Monte Carlo simulation. A conformational transition from a double-cavity-occupation (DCO) state to a single-cavity-occupation (SCO) state is observed. The dependence of the critical radius of the small cavity (RsC) where the transition occurs on Rl and the polymer length N can be described by $ {R}_{{\rm{sC}}}\propto {N}^{1/3}{R}_{{\rm{l}}}^{1-1/3\nu } $ with ν being the Flory exponent, and meanwhile the equilibrium number (ms) of monomers in the small cavity for the DCO phase can be expressed as ms = N/((Rl/Rs)3 + 1), which can be quantitatively understood by using the blob picture. Moreover, in the SCO phase, the polymer is found to prefer staying in the large cavity.
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Received: 06 July 2020
Revised: 29 July 2020
Accepted manuscript online: 13 August 2020
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PACS:
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82.35.Jk
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(Copolymers, phase transitions, structure)
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82.35.Lr
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(Physical properties of polymers)
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82.20.Wt
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(Computational modeling; simulation)
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Corresponding Authors:
†Corresponding author. E-mail: chaowang0606@126.com ‡Corresponding author. E-mail: luomengbo@zju.edu.cn
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About author: †Corresponding author. E-mail: chaowang0606@126.com ‡Corresponding author. E-mail: luomengbo@zju.edu.cn * Project supported by the Natural Science Foundation of Zhejiang Province, China (Grant No. LY20A040004) and the National Natural Science Foundation of China (Grant Nos. 11604232, 11674277, 11704210, and 11974305). |
Cite this article:
Chao Wang(王超)†, Ying-Cai Chen(陈英才), Shuang Zhang(张爽), Hang-Kai Qi(齐航凯), and Meng-Bo Luo(罗孟波)‡ Distribution of a polymer chain between two interconnected spherical cavities 2020 Chin. Phys. B 29 108201
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