Distribution of a polymer chain between two interconnected spherical cavities

doi:10.1088/1674-1056/abaedc

中国物理B ›› 2020, Vol. 29 ›› Issue (10): 108201-.doi: 10.1088/1674-1056/abaedc

Chao Wang(王超)¹^,†(), Ying-Cai Chen(陈英才)¹, Shuang Zhang(张爽)², Hang-Kai Qi(齐航凯)³, Meng-Bo Luo(罗孟波)³^,‡()

收稿日期:2020-07-06 修回日期:2020-07-29 接受日期:2020-08-13 出版日期:2020-10-05 发布日期:2020-10-05
通讯作者: Chao Wang(王超), Meng-Bo Luo(罗孟波)

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

Received:2020-07-06 Revised:2020-07-29 Accepted:2020-08-13 Online:2020-10-05 Published:2020-10-05
Contact: ^†Corresponding author. E-mail: chaowang0606@126.com ^‡Corresponding author. E-mail: luomengbo@zju.edu.cn
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).

摘要/Abstract

Abstract:

The equilibrium distribution of a polymer chain between two interconnected spherical cavities (a small one with radius R_s and a large one with radius R_l) 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 (R_sC) where the transition occurs on R_l 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 (m_s) of monomers in the small cavity for the DCO phase can be expressed as m_s = N/((R_l/R_s)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.

Key words: polymer, phase transition, free energy, blob theory

中图分类号: (Copolymers, phase transitions, structure)

82.35.Jk

82.35.Lr (Physical properties of polymers) 82.20.Wt (Computational modeling; simulation)

Chao Wang(王超), Ying-Cai Chen(陈英才), Shuang Zhang(张爽), Hang-Kai Qi(齐航凯), Meng-Bo Luo(罗孟波). [J]. 中国物理B, 2020, 29(10): 108201-.

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[J]. Chin. Phys. B, 2020, 29(10): 108201-.

图/表 6

参考文献 52

[1]	Simon S M, Blobe G 1991 Cell 65 371 DOI: 10.1016/0092-8674(91)90455-8
[2]	Lingappa V R, Chaidez J, Yost C S, Hedgpeth J 1984 Proc. Natl. Acad. Sci. USA 81 456 DOI: 10.1073/pnas.81.2.456
[3]	Gabashvili I S, Gregory S T, Valle M, Grassucci R, Worbs M, Wahl M C, Dahlberg A E, Frank J 2001 Mol. Cell 8 181 DOI: 10.1016/S1097-2765(01)00293-3
[4]	Laemmli U K, Favre M 1973 J. Mol. Biol. 80 575 DOI: 10.1016/0022-2836(73)90198-8
[5]	Levy S L, Craighead H G 2010 Chem. Soc. Rev. 39 1133 DOI: 10.1039/b820266b
[6]	Reisner W, Pedersen J N, Austin R H 2012 Rep. Prog. Phys. 75 106601 DOI: 10.1088/0034-4885/75/10/106601
[7]	Lacroix J, Pelofy S, Blatche C, Pillaire M J, Huet S, Chapuis C, Hoffmann J S, Bancaud A 2016 Small 12 5963 DOI: 10.1002/smll.201503795
[8]	Dorfman K D, King S B, Olson D W, Thomas J D P, Tree D R 2013 Chem. Rev. 113 2584 DOI: 10.1021/cr3002142
[9]	Sriram K K, Yeh J W, Lin Y L, Chang Y R, Chou C F 2014 Nucleic Acids Res. 42 e85 DOI: 10.1093/nar/gku254
[10]	Glasgow J, Tullman-Ercek D 2014 Appl. Microbiol. Biotechnol. 98 5847 DOI: 10.1007/s00253-014-5787-3
[11]	Chen J X, Chen Y G, Kapral R 2018 Adv. Sci. 5 1800028 DOI: 10.1002/advs.201800028
[12]	Cui R F, Chen Q H, Chen J X 2020 Nanoscale 12 12275 DOI: 10.1039/D0NR01211D
[13]	Kasianowicz J J, Brandin E, Branton D, Deamer D W 1996 Proc. Natl. Acad. Sci. USA 93 13770 DOI: 10.1073/pnas.93.24.13770
[14]	Deamer D, Akeson M, Branton D 2016 Nat. Biotechnol. 34 518 DOI: 10.1038/nbt.3423
[15]	Yuan Z S, Liu Y M, Dai M, Yi X, Wang C Y 2020 Nanoscale Res. Lett. 15 80 DOI: 10.1186/s11671-020-03308-x
[16]	Steinbock L J, Radenovic A 2015 Nanotechnology 26 074003 DOI: 10.1088/0957-4484/26/7/074003
[17]	Tyson J R, ONeil N J, Jain M, Olsen H E, Hieter P, Snutch T P 2018 Genome Res. 28 266 DOI: 10.1101/gr.221184.117
[18]	He Y, Tsutsui M, Fan C, Taniguchi M, Kawai T 2011 ACS Nano 5 5509 DOI: 10.1021/nn201883b
[19]	Liu X, Zhang Y, Nagel R, Reisner W, Dunbar W B 2019 Small 15 1901704 DOI: 10.1002/smll.v15.30
[20]	Mulero R, Prabhu A S, Freedman K J, Kim M J 2010 J. Assoc. Lab. Autom. 15 243 DOI: 10.1016/j.jala.2010.01.009
[21]	Smith D E, Tans S J, Smith S B, Grimes S, Anderson D L, Bustamante C 2001 Nature 413 748 DOI: 10.1038/35099581
[22]	Meller A, Nivon L, Branton D 2001 Phys. Rev. Lett. 86 3435 DOI: 10.1103/PhysRevLett.86.3435
[23]	Sakaue T, Raphaël E, de Gennes P G, Brochard-Wyart F 2005 Europhys. Lett. 72 83 DOI: 10.1209/epl/i2005-10190-3
[24]	Markesteijn A P, Usta O B, Ali I, Balazs A C, Yeomans J M 2009 Soft Matter 5 4575 DOI: 10.1039/b909208k
[25]	Li X, Pivkin I V, Liang H 2013 Polymer 54 4309 DOI: 10.1016/j.polymer.2013.06.022
[26]	Klushin L I, Skvortsov A M, Hsu H P, Binder K 2008 Macromolecules 41 5890 DOI: 10.1021/ma800619n
[27]	Reisner W, Pedersen J N, Austin R H 2012 Rep. Prog. Phys. 75 106601 DOI: 10.1088/0034-4885/75/10/106601
[28]	Cifra P, Benkova Z, Bleha T 2009 J. Phys. Chem. B 113 1843 DOI: 10.1021/jp806126r
[29]	Cifra P 2009 J. Chem. Phys. 131 224903 DOI: 10.1063/1.3271830
[30]	Fu Y, Wu F, Huang J H, Chen Y C, Luo M B 2019 Chin. J. Polym. Sci. 37 1290 DOI: 10.1007/s10118-019-2291-3
[31]	Benkova Z, Cifra P 2012 Macromolecules 45 2597 DOI: 10.1021/ma202730c
[32]	Benkova Z, Cifra P 2013 Biochem. Soc. T. 41 625 DOI: 10.1042/BST20120279
[33]	Manneschi C, Angeli E, Ala-Nissila T, Repetto L, Firpo G, Valbusa U 2013 Macromolecules 46 4198 DOI: 10.1021/ma4000545
[34]	Chen J Z Y 2007 Phys. Rev. Lett. 98 088302 DOI: 10.1103/PhysRevLett.98.088302
[35]	Wang C, Wu F, Zhao B, Chen Y C, Luo M B 2020 Macromolecules 53 1694 DOI: 10.1021/acs.macromol.9b02645
[36]	Muthukumar M 2001 Phys. Rev. Lett. 86 3188 DOI: 10.1103/PhysRevLett.86.3188
[37]	Turner S W P, Cabodi M, Craighead H G 2002 Phys. Rev. Lett. 88 128103 DOI: 10.1103/PhysRevLett.88.128103
[38]	Matsuyama A, Yano M, Matsuda A 2009 J. Chem. Phys. 131 105104 DOI: 10.1063/1.3225140
[39]	Shojaei H R, Muthukumar M 2017 J. Chem. Phys. 146 244901 DOI: 10.1063/1.4986961
[40]	Yang Z Y, Zhang D, Zhang L X, Chen H P, Ateeq-ur-Rehman, Liang H J 2011 Soft Matter 7 6836 DOI: 10.1039/c1sm05523b
[41]	Zhou X L, Guo F C, Li K, He L L, Zhang L X 2019 Polymers 11 1992 DOI: 10.3390/polym11121992
[42]	Chen E, Fan Y, Zhao G, Mao Z, Zhou H, Liu Y 2020 Chin. Phys. B 29 018701 DOI: 10.1088/1674-1056/ab5941
[43]	Benkova Z, Rispanova L, Cifra P 2020 Polymers 12 1064 DOI: 10.3390/polym12051064
[44]	Rispanova L, Benkova Z, Cifra P 2018 Polymers 10 1301 DOI: 10.3390/polym10121301
[45]	Benkova Z, Rispanova L, Cifra P 2017 J. Chem. Phys. 147 134907 DOI: 10.1063/1.4991649
[46]	Benkova Z, Rispanova L, Cifra P 2017 Polymers 9 313 DOI: 10.3390/polym9080313
[47]	Kong C Y, Muthukumar M 2004 J. Chem. Phys. 120 3460 DOI: 10.1063/1.1642588
[48]	Nykypanchuk D, Strey H H, Hoagland D A 2005 Macromolecules 38 145 DOI: 10.1021/ma048062n
[49]	Cifra P 2005 Macromolecules 38 3984 DOI: 10.1021/ma050147g
[50]	Cifra P, Linse P, Nies E 2005 J. Phys. Chem. B 112 8923 DOI: 10.1021/jp801782p
[51]	Milchev A, Klushin L, Skvortsov A, Binder K 2010 Macromolecules 43 6877 DOI: 10.1021/ma1003826
[52]	Sakaue T, Raphaël E 2006 Macromolecules 39 2621 DOI: 10.1021/ma0514424

Distribution of a polymer chain between two interconnected spherical cavities

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