Diffusion of a Ring Threaded on a Linear Chain

Zhen-Hua Wang; Yu-Yuan Lu; Hui Jin; Chuan-Fu Luo; Li-Jia An

doi:10.1007/s10118-020-2448-0

Your Location：

Home >

Browse articles >

Diffusion of a Ring Threaded on a Linear Chain

ARTICLE | Updated：2020-06-30

- Diffusion of a Ring Threaded on a Linear Chain
- Chinese Journal of Polymer Science Vol. 38, Issue 12, Pages: 1409-1417(2020)
- Affiliations：
  
  a.State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, China
  b.University of Science and Technology of China, Hefei 230026, China
  c.Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China
- Author bio：
  
  yylu@ciac.ac.cn
- Funds：
- DOI：10.1007/s10118-020-2448-0
  CLC：
- Received：14 March 2020，
  
  Revised：2020-4-14，
  
  Accepted：27 April 2020，
  
  Online First：30 June 2020，
  
  Published：10 September 2020
- Accepted：
Scan QR Code
Wang, Z. H.; Lu, Y. Y.; Jin, H.; Luo, C. F.; An, L. J. Diffusion of a ring threaded on a linear chain. Chinese J. Polym. Sci. 2020, 38, 1409–1417

Zhen-Hua Wang, Yu-Yuan Lu, Hui Jin, et al. Diffusion of a Ring Threaded on a Linear Chain[J]. Chinese Journal of Polymer Science, 2020, 38(12): 1409-1417.
Wang, Z. H.; Lu, Y. Y.; Jin, H.; Luo, C. F.; An, L. J. Diffusion of a ring threaded on a linear chain. Chinese J. Polym. Sci. 2020, 38, 1409–1417 DOI： 10.1007/s10118-020-2448-0.

Zhen-Hua Wang, Yu-Yuan Lu, Hui Jin, et al. Diffusion of a Ring Threaded on a Linear Chain[J]. Chinese Journal of Polymer Science, 2020, 38(12): 1409-1417. DOI： 10.1007/s10118-020-2448-0.

摘要

Abstract

A mesoscopic simulation is applied to investigate the effects of hydrodynamic interactions and axial chains on the dynamics of threaded rings. The hydrodynamic interactions significantly speed up the diffusion and relaxation of both free and threaded rings. The decoupled diffusion and relaxation dynamics indicate the broken of the Einstein-Stokes relationship. The diffusion of a ring threaded on a flexible chain exhibits a synergism effect compared to that on an axial rod

which originates from the self-diffusion of the ring and the reptation-like motion of the axial chain. Meanwhile

hydrodynamic interactions significantly improve the synergism effect

leading to an enhanced sliding motion of the threaded ring. The faster sliding of threaded rings suggests that the entropic barrier is negligible

which agrees well with the basic assumption of barrier-less confining tube at equilibrium in tube theory. Our results provide a new perspective on analysis of the effects of topology constraints on polymer dynamics.

关键词

Keywords

references

Doi, M.; Edwards, S. F. The theory of polymer dynamics . Oxford University Press, 1988 .

Roovers, J. . The melt properties of ring polystyrenes . Macromolecules , 1985 . 18 1359 - 1361 . DOI: 10.1021/ma00148a059 http://doi.org/10.1021/ma00148a059 .

Roovers, J. . Viscoelastic properties of polybutadiene rings . Macromolecules , 1988 . 21 1517 - 1521 . DOI: 10.1021/ma00183a049 http://doi.org/10.1021/ma00183a049 .

McKenna, G. B.; Hostetter, B. J.; Hadjichristidis, N.; Fetters, L. J.; Plazek, D. J. . A study of the linear viscoelastic properties of cyclic polystyrenes using creep and recovery measurements . Macromolecules , 1989 . 22 1834 - 1852 . DOI: 10.1021/ma00194a056 http://doi.org/10.1021/ma00194a056 .

Mills, P. J.; Mayer, J. W.; Kramer, E. J.; Hadziioannou, G.; Lutz, P.; Strazielle, C.; Rempp, P.; Kovacs, A. J. . Diffusion of polymer rings in linear polymer matrices . Macromolecules , 1987 . 20 513 - 518 . DOI: 10.1021/ma00169a008 http://doi.org/10.1021/ma00169a008 .

Iyer, B. V. S.; Lele, A. K.; Shanbhag, S. . What is the size of a ring polymer in a ring-linear blend? . Macromolecules , 2007 . 40 5995 - 6000 . DOI: 10.1021/ma0709295 http://doi.org/10.1021/ma0709295 .

Subramanian, G.; Shanbhag, S. . Self-diffusion in binary blends of cyclic and linear polymers . Macromolecules , 2008 . 41 7239 - 7242 . DOI: 10.1021/ma801232j http://doi.org/10.1021/ma801232j .

Yang, Y.; Sun, Z.; Fu, C.; An, L.; Wang, Z. G. . Monte Carlo simulation of a single ring among linear chains: structural and dynamic heterogeneity . J. Chem. Phys. , 2010 . 133 064901 DOI: 10.1063/1.3466921 http://doi.org/10.1063/1.3466921 .

Halverson, J. D.; Grest, G. S.; Grosberg, A. Y.; Kremer, K. . Rheology of ring polymer melts: from linear contaminants to ring-linear blends . Phys. Rev. Lett. , 2012 . 108 038301 DOI: 10.1103/PhysRevLett.108.038301 http://doi.org/10.1103/PhysRevLett.108.038301 .

Gooßen, S.; Krutyeva, M.; Sharp, M.; Feoktystov, A.; Allgaier, J.; Pyckhout-Hintzen, W.; Wischnewski, A.; Richter, D. . Sensing polymer chain dynamics through ring topology: a neutron spin echo study . Phys. Rev. Lett. , 2015 . 115 148302 DOI: 10.1103/PhysRevLett.115.148302 http://doi.org/10.1103/PhysRevLett.115.148302 .

Kapnistos, M.; Lang, M.; Vlassopoulos, D.; Pyckhout-Hintzen, W.; Richter, D.; Cho, D.; Chang, T.; Rubinstein, M. . Unexpected power-law stress relaxation of entangled ring polymers . Nat. Mater. , 2008 . 7 997 - 1002 . DOI: 10.1038/nmat2292 http://doi.org/10.1038/nmat2292 .

Aoki, D.; Takata, T. . Mechanically linked supramolecular polymer architectures derived from macromolecular [2]rotaxanes: synthesis and topology transformation . Polymer , 2017 . 128 276 - 296 . DOI: 10.1016/j.polymer.2017.08.020 http://doi.org/10.1016/j.polymer.2017.08.020 .

Takata, T.; Aoki, D. . Topology-transformable polymers: linear-branched polymer structural transformation via the mechanical linking of polymer chains . Polym. J. , 2018 . 50 127 - 147 . DOI: 10.1038/pj.2017.60 http://doi.org/10.1038/pj.2017.60 .

Takata, T. . Switchable polymer materials controlled by rotaxane macromolecular switches . ACS Cent. Sci. , 2020 . 6 129 - 143 . DOI: 10.1021/acscentsci.0c00002 http://doi.org/10.1021/acscentsci.0c00002 .

Metzler, R.; Kantor, Y.; Kardar, M. . Force-extension relations for polymers with sliding links . Phys. Rev. E , 2002 . 66 022102 .

Baulin, V. A.; Johner, A.; Marques, C. M. . Sliding grafted polymer layers . Macromolecules , 2005 . 38 1434 - 1441 . DOI: 10.1021/ma047786w http://doi.org/10.1021/ma047786w .

Baulin, V. A.; Lee, N. K.; Johner, A.; Marques, C. M. . Micellization of sliding polymer surfactants . Macromolecules , 2006 . 39 871 - 876 . DOI: 10.1021/ma051955a http://doi.org/10.1021/ma051955a .

Ramírez-Hernández, A.; Detcheverry, F. A.; Peters, B. L.; Chappa, V. C.; Schweizer, K. S.; Müller, M.; de Pablo, J. J. . Dynamical simulations of coarse grain polymeric systems: rouse and entangled dynamics . Macromolecules , 2013 . 46 6287 - 6299 . DOI: 10.1021/ma400526v http://doi.org/10.1021/ma400526v .

Gustafson, A.; Morse, D. C. . A reptation model of slip at entangled polymer-polymer interfaces . Macromolecules , 2016 . 49 7032 - 7044 . DOI: 10.1021/acs.macromol.6b00666 http://doi.org/10.1021/acs.macromol.6b00666 .

Brackley, C. A.; Johnson, J.; Michieletto, D.; Morozov, A. N.; Nicodemi, M.; Cook, P. R.; Marenduzzo, D. . Nonequilibrium chromosome looping via molecular slip links . Phys. Rev. Lett. , 2017 . 119 138101 DOI: 10.1103/PhysRevLett.119.138101 http://doi.org/10.1103/PhysRevLett.119.138101 .

Frisch, H. L.; Wasserman, E. . Chemical topology . J. Am. Chem. Soc. , 1961 . 83 3789 - 3795 . DOI: 10.1021/ja01479a015 http://doi.org/10.1021/ja01479a015 .

Schill, G. Catenanes, rotaxanes, and knots . Academic Press, New York, 1971 .

Sauvage, J. P.; Dietrich-Buchecker, C. Molecular catanes, rotaxanes and knots: a journey through the world of molecular topology . Wiely-VCH, Weinheim, 1999 .

Fang, L.; Olson, M. A.; Benítez, D.; Tkatchouk, E.; Goddard Iii, W. A.; Stoddart, J. F. . Mechanically bonded macromolecules . Chem. Soc. Rev. , 2010 . 39 17 - 29 . DOI: 10.1039/B917901A http://doi.org/10.1039/B917901A .

Forgan, R. S.; Sauvage, J. P.; Stoddart, J. F. . Chemical topology: complex molecular knots, links, and entanglements . Chem. Rev. , 2011 . 111 5434 - 5464 . DOI: 10.1021/cr200034u http://doi.org/10.1021/cr200034u .

Sauvage, J. P. . From chemical topology to molecular machines (Nobel lecture) . Angew. Chem. Int. Ed. , 2017 . 56 11080 - 11093 . DOI: 10.1002/anie.201702992 http://doi.org/10.1002/anie.201702992 .

Deutman, A. B. C.; Monnereau, C.; Elemans, J. A. A. W.; Ercolani, G.; Nolte, R. J. M.; Rowan, A. E. . Mechanism of threading a polymer through a macrocyclic ring . Science , 2008 . 322 1668 - 1671 . DOI: 10.1126/science.1164647 http://doi.org/10.1126/science.1164647 .

Balzani, V.; Gómez-López, M.; Stoddart, J. F. . Molecular machines . Accounts. Chem. Res. , 1998 . 31 405 - 414 . DOI: 10.1021/ar970340y http://doi.org/10.1021/ar970340y .

van Dongen, S. F. M.; Cantekin, S.; Elemans, J.; Rowan, A. E.; Nolte, R. J. M. . Functional interlocked systems . Chem. Soc. Rev. , 2014 . 43 99 - 122 . DOI: 10.1039/C3CS60178A http://doi.org/10.1039/C3CS60178A .

Erbas-Cakmak, S.; Leigh, D. A.; McTernan, C. T.; Nussbaumer, A. L. . Artificial molecular machines . Chem. Rev. , 2015 . 115 10081 - 10206 . DOI: 10.1021/acs.chemrev.5b00146 http://doi.org/10.1021/acs.chemrev.5b00146 .

Xue, M.; Yang, Y.; Chi, X.; Yan, X.; Huang, F. . Development of pseudorotaxanes and rotaxanes: from synthesis to stimuli-responsive motions to applications . Chem. Rev. , 2015 . 115 7398 - 7501 . DOI: 10.1021/cr5005869 http://doi.org/10.1021/cr5005869 .

Yu, G.; Yung, B. C.; Zhou, Z.; Mao, Z.; Chen, X. . Artificial molecular machines in nanotheranostics . ACS Nano , 2018 . 12 7 - 12 . DOI: 10.1021/acsnano.7b07851 http://doi.org/10.1021/acsnano.7b07851 .

Anelli, P. L.; Spencer, N.; Stoddart, J. F. . A molecular shuttle . J. Am. Chem. Soc. , 1991 . 113 5131 - 5133 . DOI: 10.1021/ja00013a096 http://doi.org/10.1021/ja00013a096 .

Zhu, K.; Baggi, G.; Loeb, S. J. . Ring-through-ring molecular shuttling in a saturated [3]rotaxane . Nat. Chem. , 2018 . 10 625 - 630 . DOI: 10.1038/s41557-018-0040-9 http://doi.org/10.1038/s41557-018-0040-9 .

Corra, S.; de Vet, C.; Groppi, J.; La Rosa, M.; Silvi, S.; Baroncini, M.; Credi, A. . Chemical on/off switching of mechanically planar chirality and chiral anion recognition in a [2]rotaxane molecular shuttle . J. Am. Chem. Soc. , 2019 . 141 9129 - 9133 . DOI: 10.1021/jacs.9b00941 http://doi.org/10.1021/jacs.9b00941 .

Bissell, R. A.; Córdova, E.; Kaifer, A. E.; Stoddart, J. F. . A chemically and electrochemically switchable molecular shuttle . Nature , 1994 . 369 133 - 137 . DOI: 10.1038/369133a0 http://doi.org/10.1038/369133a0 .

Deng, W. Q.; Muller, R. P.; Goddard, W. A. . Mechanism of the Stoddart-Heath bistable rotaxane molecular switch . J. Am. Chem. Soc. , 2004 . 126 13562 - 13563 . DOI: 10.1021/ja036498x http://doi.org/10.1021/ja036498x .

Lohmann, F.; Ackermann, D.; Famulok, M. . Reversible light switch for macrocycle mobility in a DNA rotaxane . J. Am. Chem. Soc. , 2012 . 134 11884 - 11887 . DOI: 10.1021/ja3042096 http://doi.org/10.1021/ja3042096 .

Bruns, C. J.; Stoddart, J. F. . Rotaxane-based molecular muscles . Accounts. Chem. Res. , 2014 . 47 2186 - 2199 . DOI: 10.1021/ar500138u http://doi.org/10.1021/ar500138u .

de Gennes, P. G. . Sliding gels . Physica A , 1999 . 271 231 - 237 . DOI: 10.1016/S0378-4371(99)00227-7 http://doi.org/10.1016/S0378-4371(99)00227-7 .

Helfer, C. A.; Xu, G.; Mattice, W. L.; Pugh, C. . Monte Carlo simulations investigating the threading of cyclic poly(ethylene oxide) by linear chains in the melt . Macromolecules , 2003 . 36 10071 - 10078 . DOI: 10.1021/ma0301855 http://doi.org/10.1021/ma0301855 .

Urakami, N.; Imada, J.; Yamamoto, T. . Simulation of pseudopolyrotaxane formation and orientational order between pseudopolyrotaxanes . J. Chem. Phys. , 2010 . 132 054901 DOI: 10.1063/1.3298995 http://doi.org/10.1063/1.3298995 .

Pinson, M. B.; Sevick, E. M.; Williams, D. R. M. . Mobile rings on a polyrotaxane lead to a yield force . Macromolecules , 2013 . 46 4191 - 4197 . DOI: 10.1021/ma4000094 http://doi.org/10.1021/ma4000094 .

Gilles, F. M.; Llubaroff, R.; Pastorino, C. . Fluctuation-induced forces between rings threaded around a polymer chain under tension . Phys. Rev. E , 2016 . 94 032503 .

Müller, T.; Sommer, J. U.; Lang, M. . Tendomers-force sensitive bis-rotaxanes with jump-like deformation behavior . Soft Matter , 2019 . 15 3671 - 3679 . DOI: 10.1039/C9SM00292H http://doi.org/10.1039/C9SM00292H .

Lee, E.; Kim, S.; Jung, Y. . Slowing down of ring polymer diffusion caused by inter-ring threading . Macromol. Rapid Commun. , 2015 . 36 1115 - 1121 . DOI: 10.1002/marc.201400713 http://doi.org/10.1002/marc.201400713 .

Lee, E.; Jung, Y. . Slow dynamics of ring polymer melts by asymmetric interaction of threading configuration: Monte Carlo study of a dynamically constrained lattice model . Polymers , 2019 . 11 516 DOI: 10.3390/polym11030516 http://doi.org/10.3390/polym11030516 .

Zhou, Y.; Hsiao, K.-W.; Regan, K. E.; Kong, D.; McKenna, G. B.; Robertson-Anderson, R. M.; Schroeder, C. M. . Effect of molecular architecture on ring polymer dynamics in semidilute linear polymer solutions . Nat. Commun. , 2019 . 10 1753 DOI: 10.1038/s41467-019-09627-7 http://doi.org/10.1038/s41467-019-09627-7 .

Araki, J.; Ito, K. . Recent advances in the preparation of cyclodextrin-based polyrotaxanes and their applications to soft materials . Soft Matter , 2007 . 3 1456 - 1473 . DOI: 10.1039/b705688e http://doi.org/10.1039/b705688e .

Murata, N.; Konda, A.; Urayama, K.; Takigawa, T.; Kidowaki, M.; Ito, K. . Anomaly in stretching-induced swelling of slide-ring gels with movable cross-links . Macromolecules , 2009 . 42 8485 - 8491 . DOI: 10.1021/ma901661d http://doi.org/10.1021/ma901661d .

Ito, K. . Novel entropic elasticity of polymeric materials: why is slide-ring gel so soft? . Polym. J. , 2012 . 44 38 - 41 . DOI: 10.1038/pj.2011.85 http://doi.org/10.1038/pj.2011.85 .

Noda, Y.; Hayashi, Y.; Ito, K. . From topological gels to slide-ring materials . J. Appl. Polym. Sci. , 2014 . 131 .

Ito, K. . Novel cross-linking concept of polymer network: synthesis, structure, and properties of slide-ring gels with freely movable junctions . Polym. J. , 2007 . 39 489 - 499 . DOI: 10.1295/polymj.PJ2006239 http://doi.org/10.1295/polymj.PJ2006239 .

Okumura, Y.; Ito, K. . The polyrotaxane gel: a topological gel by figure-of-eight cross-links . Adv. Mater. , 2001 . 13 485 - 487 . DOI: 10.1002/1521-4095(200104)13:7<485::AID-ADMA485>3.0.CO;2-T http://doi.org/10.1002/1521-4095(200104)13:7<485::AID-ADMA485>3.0.CO;2-T .

Liu, C.; Kadono, H.; Mayumi, K.; Kato, K.; Yokoyama, H.; Ito, K. . Unusual fracture behavior of slide-ring gels with movable cross-links . ACS Macro Lett. , 2017 . 6 1409 - 1413 . DOI: 10.1021/acsmacrolett.7b00729 http://doi.org/10.1021/acsmacrolett.7b00729 .

Jiang, L.; Liu, C.; Mayumi, K.; Kato, K.; Yokoyama, H.; Ito, K. . Highly stretchable and instantly recoverable slide-ring gels consisting of enzymatically synthesized polyrotaxane with low host coverage . Chem. Mater. , 2018 . 30 5013 - 5019 . DOI: 10.1021/acs.chemmater.8b01208 http://doi.org/10.1021/acs.chemmater.8b01208 .

Yasuda, Y.; Hidaka, Y.; Mayumi, K.; Yamada, T.; Fujimoto, K.; Okazaki, S.; Yokoyama, H.; Ito, K. . Molecular dynamics of polyrotaxane in solution investigated by quasi-elastic neutron scattering and molecular dynamics simulation: sliding motion of rings on polymer . J. Am. Chem. Soc. , 2019 . 141 9655 - 9663 . DOI: 10.1021/jacs.9b03792 http://doi.org/10.1021/jacs.9b03792 .

Yasuda, Y.; Toda, M.; Mayumi, K.; Yokoyama, H.; Morita, H.; Ito, K. . Sliding dynamics of ring on polymer in rotaxane: a coarse-grained molecular dynamics simulation study . Macromolecules , 2019 . 52 3787 - 3793 . DOI: 10.1021/acs.macromol.9b00118 http://doi.org/10.1021/acs.macromol.9b00118 .

Teraoka, I. Polymer solutions: an introduction to physical properties . John Wiley & amp; Sons, Inc., New York, USA, 2002 .

Kikuchi, N.; Gent, A.; Yeomans, J. M. . Polymer collapse in the presence of hydrodynamic interactions . Eur. Phys. J. E , 2002 . 9 63 - 66 . DOI: 10.1140/epje/i2002-10056-6 http://doi.org/10.1140/epje/i2002-10056-6 .

Kikuchi, N.; Ryder, J. F.; Pooley, C. M.; Yeomans, J. M. . Kinetics of the polymer collapse transition: the role of hydrodynamics . Phys. Rev. E , 2005 . 71 061804 .

Piili, J.; Suhonen, P. M.; Linna, R. P. . Uniform description of polymer ejection dynamics from capsid with and without hydrodynamics . Phys. Rev. E , 2017 . 95 052418 DOI: 10.1103/PhysRevE.95.052418 http://doi.org/10.1103/PhysRevE.95.052418 .

Sendner, C.; Netz, R. R. . Single flexible and semiflexible polymers at high shear: non-monotonic and non-universal stretching response . Eur. Phys. J. E , 2009 . 30 75 .

Chan, N. Y.; Chen, M.; Hao, X. T.; Smith, T. A.; Dunstan, D. E. . Polymer compression in shear flow . J. Phys. Chem. Lett. , 2010 . 1 1912 - 1916 . DOI: 10.1021/jz100535b http://doi.org/10.1021/jz100535b .

Saha Dalal, I.; Hoda, N.; Larson, R. G. . Multiple regimes of deformation in shearing flow of isolated polymers . J. Rheol. , 2012 . 56 305 - 332 . DOI: 10.1122/1.3679461 http://doi.org/10.1122/1.3679461 .

Saha Dalal, I.; Albaugh, A.; Hoda, N.; Larson, R. G. . Tumbling and deformation of isolated polymer chains in shearing flow . Macromolecules , 2012 . 45 9493 - 9499 . DOI: 10.1021/ma3014349 http://doi.org/10.1021/ma3014349 .

Wang, Z.; Zhai, Q.; Chen, W.; Wang, X.; Lu, Y.; An, L. . Mechanism of nonmonotonic increase in polymer size: comparison between linear and ring chains at high shear rates . Macromolecules , 2019 . 52 8144 - 8154 . DOI: 10.1021/acs.macromol.9b00809 http://doi.org/10.1021/acs.macromol.9b00809 .

Malevanets, A.; Kapral, R. . Mesoscopic model for solvent dynamics . J. Chem. Phys. , 1999 . 110 8605 DOI: 10.1063/1.478857 http://doi.org/10.1063/1.478857 .

Gompper, G.; Ihle, T.; Kroll, D. M.; Winkler, R. G. . Multi-particle collision dynamics: a particle-based mesoscale simulation approach to the hydrodynamics of complex fluids . Advanced Computer Simulation Approaches for Soft Matter Sciences III , 2009 . 221 1 - 87 . .

Ihle, T.; Kroll, D. M. . Stochastic rotation dynamics: a Galilean-invariant mesoscopic model for fluid flow . Phys. Rev. E , 2001 . 63 020201 DOI: 10.1103/PhysRevE.63.020201 http://doi.org/10.1103/PhysRevE.63.020201 .

Kremer, K.; Grest, G. S. . Dynamics of entangled linear polymer melts: a molecular-dynamics simulation . J. Chem. Phys. , 1990 . 92 5057 DOI: 10.1063/1.458541 http://doi.org/10.1063/1.458541 .

Rubinstein, M.; Colby, R. H. Polymer physics . Oxford University Press, 2003 .

Allen, M. P.; Tildesley, D. J. Computer simulation of liquids . Oxford University Press, 1989 .

Malevanets, A.; Yeomans, J. M. . Dynamics of short polymer chains in solution . Europhys. Lett. , 2000 . 52 231 DOI: 10.1209/epl/i2000-00428-0 http://doi.org/10.1209/epl/i2000-00428-0 .

Nikoubashman, A.; Likos, C. N. . Flow-induced polymer translocation through narrow and patterned channels . J. Chem. Phys. , 2010 . 133 074901 DOI: 10.1063/1.3466918 http://doi.org/10.1063/1.3466918 .

Cannavacciuolo, L.; Winkler, R. G.; Gompper, G. . Mesoscale simulations of polymer dynamics in microchannel flows . Europhys. Lett. , 2008 . 83 34007 DOI: 10.1209/0295-5075/83/34007 http://doi.org/10.1209/0295-5075/83/34007 .

Watari, N.; Makino, M.; Kikuchi, N.; Larson, R. G.; Doi, M. . Simulation of DNA motion in a microchannel using stochastic rotation dynamics . J. Chem. Phys. , 2007 . 126 094902 DOI: 10.1063/1.2538831 http://doi.org/10.1063/1.2538831 .

Xu, G.; Huang, Z.; Chen, P.; Cui, T.; Zhang, X.; Miao, B.; Yan, L. T. . Optimal reactivity and improved self-healing capability of structurally dynamic polymers grafted on Janus nanoparticles governed by chain stiffness and spatial organization . Small , 2017 . 13 1603155 DOI: 10.1002/smll.201603155 http://doi.org/10.1002/smll.201603155 .

Yu, Q.; Wang, R. . Effect of chain rigidity on the crystallization of DNA-directed nanoparticle system . Macromolecules , 2018 . 51 8372 - 8376 . DOI: 10.1021/acs.macromol.8b01767 http://doi.org/10.1021/acs.macromol.8b01767 .

Views

106

Downloads

CSCD

Alert me when the article has been cited

Submit

Tools

Publicity Resources

Sliding Dynamics of Ring Chain on a Rod-Coil Block Copolymer in Rotaxane

Salt Effects on Sliding Dynamics of Charged Ring on Diblock Polyelectrolyte Chain in Catenane

Role of Hydrodynamic Interactions in the Deformation of Star Polymers in Poiseuille Flow

Molecularly Engineered Polyimide Films with Switchable Cavitation for Bidirectional Passive Thermal Regulation

Advances in Polymer-based Circularly Polarized Luminescent Materials

Related Author

Lin-Li He

Ke Li

Xiang-Hong Wang

Si-Yi Yan

Lin-Xi Zhang

Zhi-Yong Yang

Jia-Xin Wu

Zhen-Yue Yang

Related Institution

Department of Physics, Wenzhou University

Shanghai Technical Institute of Electronics & Information

College of Electronics and Information Engineering, Shanghai University of Electric Power

School of Physics, Zhejiang University

Department of Physics, Jiangxi Agricultural University

⁰