Abstract
Unentangled ring polymers take a Rouse-like relaxation process, which is shorter than the relaxation time of the linear chain of the same length. However, the relaxation time of the entangled ring-shaped polymer is still under debate since the polymer has their no free end. The physical properties of an entangled polymer chain can be obtained by a single polymer chain via establishing a mesh model. We have simulated the diffusion motion of the circular chains, and obtained the relaxation times by using three different methods. Four different scaling models have been proposed to predict the scaling exponents for the dynamics of nonconcatenated entangled rings. And our results are coincide with the Multi-ring model. At the same time, we also compare the difference between linear and circular chains, including relaxation time and diffusion motion. Indicated by our simulation results for same length of the chains, the plateau of g2(t) for ring chains are below that of linear polymers, and the relaxation times of the ring chains are shorter than that of linear polymers show by simulation results which are completely consistent with theoretical results.
Similar content being viewed by others
References
Ferry JD (1980) Viscoelastic properties of polymers. Wiley, New York
Rubinstein M, Colby RH (2003) Polymer physics. Oxford University Press, New York
Hou JX, Yu XC, Huang ZW (2107) J Polym Res 24:97
Hou JX, Zhang YH, Chen Y, Yu XC (2017) Modern Phys Lett B 31:1750028
de Gennes PG (1971) J Chem Phys 55:572
McLeish TCB (2002) Advances in Physics 51:1379
Edwards SF, Vilgis TA (1988) Rep Prog Phys 51:24
Hou JX, Svaneborg C, Everaers R, Grest GS (2010) Phys Rev Lett 105:068301
Tsolou G, Stratikis N, Baig C, Stephanou PS, Mavrantzas VG (2010) Macromolecules 43:10692
Bloomfield V, Zimm BH (1966) J Chem Phys 44:315
Halverson JD, Lee WB, Grest GS, Grosberg AY, Kremer K (2011) J Chem Phys 134:204904
Klein J (1986) Macromolecules 19:105
Watanabe H, Inoue T, Matsumiya Y (2006) Macromolecules 39:5419
Qin J, Milner ST (2016) Phys Rev Lett 116:068307
Kapnistos M, Lang M, Vlassopoulos D, Pyckhout-Hintzen W, Richter D, Cho D, Rubinstein M (2008) Nat Mater 7:997
Ge T, Panyukov S, Rubinstein M (2016) Macromolecules 49:708
Ge T, Kalathi JT, Halverson JD, Grest GS, Rubinstein M (2017) Macromolecules 50:1749
Likhtman AE, Talib MS, Vorselaars B, Ramirez J (2013) Macromolecules 46:1187
Chen Q, Zhang Z, Colby RH (2016) Journal of Rheology 60:1031
Hou JX (2017) J Chem Phys 146:026101
Rubinstein M (1986) Phys Rev Lett 57:3023
Grosberg AY (2014) Soft Matter 10:560
Acknowledgments
This work was jointly supported by the Educational Reform and Research Foundation of Southeast University under Grant 2019-074, the Physical Education Foundation of Higher Education Steering Committee of the Ministry of Education, the Pilot Class in Natural Sciences Foundation of Southeast University.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Xue, KL., Hu, YF., Yu, XC. et al. The diffusion properties of a ring polymer in a grid matrix. J Polym Res 27, 123 (2020). https://doi.org/10.1007/s10965-020-02088-3
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10965-020-02088-3