Skip to main content
SpringerLink
Log in

Diffusion of Nanoparticles in Polymer Systems

  • Published:
Polymer Science, Series C Aims and scope Submit manuscript

Abstract

The state-of-the-art in research of the mobility of nanoparticles in polymer melts is presented. It is important to determine the mechanisms of diffusion processes in these systems and factors affecting the diffusion of nanoparticles of different sizes when developing methods for controlling the distribution of nanoparticles in polymer nanocomposites that play an increasingly important role in various industries. The modern theoretical concepts of the diffusion of small particles in solutions and polymer melts, as well as results of computer simulation and experimental studies, are discussed. It is shown that the key factor determining the nature of the motion of nanoparticles is the ratio of the particle size to the characteristic dimensions of the polymer, which explains the strong relationship between the mobility of nanoparticles and the local structure of polymer molecules.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. I. Bessonov, M. M. Koton, V. V. Kydryavtsev, and L. A. Laius, Polyimides: Thermally Stable Polymers (Plenum, New York, 1987).

    Book  Google Scholar 

  2. Polyimides: Fundamentals and Applications, Ed. by M. Ghosh (CRC Press, Boca Raton, 1996).

  3. T. Takekoshi, in Advances in Polymer Science, Ed. by C. G. Overberger (Springer, Berlin, 1990), Vol. 94, p.1.

    Article  CAS  Google Scholar 

  4. Composite Materials. Processing, Applications, Characterisations, Ed. by K. K. Kar (Springer, Berlin; Heidelberg, 2017).

  5. M. Yoonessi, Y. Shi, D. A. Scheiman, M. Lebron-Colon, D. M. Tigelaar, R. A. Weiss, and M. A. Meador, ACS Nano 6 (9), 7644.

    Google Scholar 

  6. H. Tang, G. J. Ehlert, Y. Lin, and H. A. Sodano, Nano Lett. 12 (1), 84 (2012).

    Article  CAS  PubMed  Google Scholar 

  7. V. E. Yudin, V. M. Svetlichnyi, G. N. Gubanova, A. L. Didenko, T. E. Sukhanova, V. V. Kudryavtsev, S. Ratner, and G. Marom, J. Appl. Polym. Sci. 83 (13), 2873 (2002).

    Article  CAS  Google Scholar 

  8. Thermoplastic Materials: Properties, Manufacturing Methods, and Applications, Ed. by C. C. Ibeh (CRC Press, Boca Raton, 2011).

  9. M. L. Katsevman, Chem. J. 1–2, 66 (2013).

    Google Scholar 

  10. Functionalized Nanomaterials, Ed. by M. A. Farrukh (InTech, Rijeka, 2016).

  11. G. Mittal, V. Dhand, K. Y. Rhee, S.-J. Park, and W. R. Lee, J. Ind. Eng. Chem. 21, 11 (2015).

    Article  CAS  Google Scholar 

  12. L. Peponi, D. Puglia, L. Torre, L. Valentini, J. M. Kenny, Mater. Sci. Eng., R 85, 1 (2014).

    Article  Google Scholar 

  13. V. Georgakilas, J. A. Perman, J. Tucek, and R. Zboril, Chem. Rev. 115 (11), 4744 (2015).

    Article  CAS  PubMed  Google Scholar 

  14. M. Bhattacharya, Materials 9 (4), 262 (2016).

    Article  CAS  PubMed Central  Google Scholar 

  15. J. Gu, C. Xie, H. Li, J. Dang, W. Geng, and Q. Zhang, Polym. Compos. 35 (6), 1087 (2014).

    CAS  Google Scholar 

  16. A. S. Rahate, K. R. Nemade, and S. A. Waghuley, Rev. Chem. Eng. 29 (6), 471 (2013).

    Article  CAS  Google Scholar 

  17. M. Yoonessi, J. R. Gaier, M. Sahimi, T. L. Daulton, R. B. Kaner, and M. A. Meador, ACS Appl. Mater. Interfaces 9 (49), 43230 (2017).

    Article  CAS  PubMed  Google Scholar 

  18. A. M. Díez-Pascual, M. Naffakh, C. Marco, G. Ellis, and M. A. Gómez-Fatou, Prog. Mater. Sci. 57 (7), 1106 (2012).

    Article  CAS  Google Scholar 

  19. I. Aliga, P. Pötschke, D. Lellinger, T. Skipa, S. Pegel, G. R. Kasaliwal, and T. Villmow, Polymer 53 (1), 4 (2012).

    Article  CAS  Google Scholar 

  20. A. Greco, A. Timo, and A. Maffezzoli, Materials 5 (10), 1972 (2012).

    Article  CAS  PubMed Central  Google Scholar 

  21. Structural Nanocomposites. Engineering Materials, Ed. by J. Njuguna (Springer, Berlin, 2013).

  22. Recent Advances in Polymer Nanocomposites: Synthesis and Characterisation, Ed. by S. Thomas, G. Zaikov, and V. Meera (CRC Press; Boca Raton, 2010).

  23. G. Xu, Y. Zhuang, R. Xia, J. Cheng, and Y. Zhang, Mater. Lett. 89, 272 (2012).

    Article  CAS  Google Scholar 

  24. H. G. Chae, M. L. Minus, and S. Kumar, Polymer 47 (10), 3494 (2006).

    Article  CAS  Google Scholar 

  25. S. Chatterjee, F. A. Nüesch, and B. T. T. Chu, Nanotecnology 22 (27), 275714 (2011).

    Article  CAS  Google Scholar 

  26. J.-S. Yang, C.-L. Yang, M.-S. Wang, B.-D. Chen, and X.-G. Ma, Phys. Chem. Chem. Phys. 13 (34), 15476 (2011).

    Article  CAS  PubMed  Google Scholar 

  27. S. V. Larin, S. G. Falkovich, V. M. Nazarychev, A. A. Gurtovenko, A. V. Lyulin, and S. V. Lyulin, RSC Adv. 4 (2), 830 (2014).

    Article  CAS  Google Scholar 

  28. S. G. Falkovich, S. V. Larin, A. V. Lyulin, V. E. Yudin, J. M. Kenny, and S. V. Lyulin, RSC Adv. 4 (89), 48606 (2014).

    Article  CAS  Google Scholar 

  29. A. Asadinezhad and P. Kelich, Appl. Surf. Sci. 392, 981 (2017).

    Article  CAS  Google Scholar 

  30. V. M. Nazarychev, S. V. Larin, A. V. Lyulin, T. Dingemans, J. M. Kenny, and S. V. Lyuilin, Polymers 9 (10), 548 (2017).

    Article  CAS  PubMed Central  Google Scholar 

  31. S. G. Falkovich, V. M. Nazarychev, S. V. Larin, J. M. Kenny, and S. V. Lyulin, J. Phys. Chem. C 120 (12), 6771 (2016).

    Article  CAS  Google Scholar 

  32. M. Moniruzzaman and K. I. Winey, Macromolecules 39 (16), 5194 (2006).

    Article  CAS  Google Scholar 

  33. H. E. Miltner, N. Grossiord, K. Lu, J. Loos, C. E. Koning, and B. Van Mele, Macromolecules 41 (15), 5753 (2008).

    Article  CAS  Google Scholar 

  34. A. V. Penkova, M. E. Dmitrenko, M. P. Sokolova, B. Chen, T. V. Plisko, D. A. Markelov, and S. S. Ermakov, J. Mater. Sci. 51 (16), 7652 (2016).

    Article  CAS  Google Scholar 

  35. A. C. Nechifor, S. Sava, S. I. Voicu, and G. Nechifor, Int. J. Renewable Energy Environ. Eng. 5 (5), 645 (2011).

    Google Scholar 

  36. M. Zhang, X. Wang, Y. Bai, Z. Li, and B. Cheng, Sci. Rep. 7, Article No. 4443 (2017).

  37. D. Xi, W. Huang, Z. Li, J. Lu, X. Chen, and Z. Zhou, Mater. Lett. 81, 189 (2012).

    Article  CAS  Google Scholar 

  38. N. V. Kamanina, S. V. Serov, N. A. Shurpo, S. V. Likhomanova, D. N. Timonin, P. V. Kuzhakov, N. N. Rozhkova, I. V. Kityk, K. J. Plucinski, and D. P. Uskokovic, J. Mater. Sci.: Mater. Electron. 23 (8), 1538 (2012).

    CAS  Google Scholar 

  39. M. E. Cagiao, A. O. Pozdnyakov, M. Krumova, V. V. Kudryavtsev, and F. J. Balta Calleja, Compos. Sci. Technol. 67 (10), 2175 (2007).

    Article  CAS  Google Scholar 

  40. A. V. Yakimanskii and B. M. Ginzburg, Zh. Prikl. Khim. 73, 688 (2000).

    CAS  Google Scholar 

  41. A. M. Valenkov, I. V. Gofman, K. S. Nosov, V. M. Shapovalov, and V. E. Yudin, Russ. J. Appl. Chem. 84 (5), 735 (2011).

    Article  CAS  Google Scholar 

  42. A. Tuteja, P. M. Duxbury, and M. E. Mackay, Macromolecules 40 (26), 9427 (2007).

    Article  CAS  Google Scholar 

  43. M. Mu, N. Clarke, R. J. Composto, and K. I. Winey, Macromolecules 44 (18), 191 (2011).

    Article  CAS  Google Scholar 

  44. V. V. Guzeev, M. N. Rafikov, and Yu. M. Malinskii, Vysokomol. Soedin., Ser. A 17 (4), 804 (1975).

    CAS  Google Scholar 

  45. V. V. Guzeev, M. N. Rafikov, and Yu. M. Malinskii, Vysokomol. Soedin., Ser. B 20 (5), 387 (1978).

    CAS  Google Scholar 

  46. M. Mu, R. J. Composto, N. Clarke, and K. I. Winey, Macromolecules 42 (21), 8365 (2009).

    Article  CAS  Google Scholar 

  47. Graphite, Graphene, and Their Polymer Nanocomposites, Ed. by P. Mukhopadhyay and R. K. Gupta (CRC Press, Boca Raton, 2012).

  48. V. D. Punethaa, S. Rana, H. J. Yoo, A. Chaurasia, Jr., J. T. McLeskey, M. S. Ramasamy, N. G. Sahoo, and J. W. Cho, Prog. Polym. Sci. 67, 1 (2017).

    Article  CAS  Google Scholar 

  49. V. Georgakilas, J. N. Tiwari, K. C. Kemp, J. A. Perman, A. B. Bourlinos, K. S. Kim, and R. Zboril, Chem. Rev. 116 (9), 5464 (2016).

    Article  CAS  PubMed  Google Scholar 

  50. G. Heinrich, M. Klüppel, and T. A. Vilgis, Curr. Opin. Solid State Mater. Sci. 6, 195 (2002).

    Article  CAS  Google Scholar 

  51. G. Huber, T. A. Vilgis, and G. Heinrich, J. Phys.: Condens. Matter 8, L409 (1996).

    CAS  Google Scholar 

  52. G. Heinrich and T. A. Vilgis, Macromol. Symp. 93, 253 (1995).

    Article  CAS  Google Scholar 

  53. A. I. Leonov, J. Rheol. 34, 1039 (1990).

    Article  Google Scholar 

  54. C. Wang, Z.-X. Guo, S. Fu, W. Wu, and D. Zhu, Prog. Polym. Sci. 29 (11), 1079 (2004).

    Article  CAS  Google Scholar 

  55. F. Hussain, M. Hojjati, M. Okamoto, and R. E. Gorga, J. Compos. Mater. 40, 1511 (2006).

    Article  CAS  Google Scholar 

  56. S. W. Kim, T. Kim, Y. S. Kim, H. S. Choi, H. J. Lim, S. J. Yang, and C. R. Park, Carbon 50, 3 (2012).

    Article  CAS  Google Scholar 

  57. Computer Simulations of Liquids, Ed. by M. P. Allen and D. J. Tildesley (Oxford Sci. Publ., Oxford, 1987).

  58. R. Zwanzig and A. K. Harrison, J. Chem. Phys. 83 (11), 5861 (1985).

    Article  CAS  Google Scholar 

  59. R. A. Omari, A. M. Aneese, C. A. Grabowski, and A. J. Mukhopadhyay, J. Phys. Chem. B 113 (25), 8449 (2009).

    Article  CAS  PubMed  Google Scholar 

  60. H. Guo, G. Bourret, R. B. Lennox, M. Sutton, J. L. Harden, and R. L. Leheny, Phys. Rev. Lett. 109 (5), 055901 (2012).

    Article  CAS  PubMed  Google Scholar 

  61. I. Kohli and A. Mukhopadhyay, Macromolecules 45 (15), 6143 (2012).

    Article  CAS  Google Scholar 

  62. I. Kohli, S. Alam, B. Patel, and A. Mukhopadhyay, Appl. Phys. Lett. 102 (20), 203705 (2013).

    Article  CAS  Google Scholar 

  63. F. B. Khorasani, R. Poling-Skutvik, R. Krishnamoorti, and J. C. Conrad, Macromolecules 47 (15), 5328 (2014).

    Article  CAS  Google Scholar 

  64. C. Xue, X. Zheng, K. Chen, Y. Tian, and G. Hu, J. Phys. Chem. Lett. 7 (3), 514 (2016).

    Article  CAS  PubMed  Google Scholar 

  65. D. W. de Kort, W. H. Rombouts, F. J. M. Hoeben, H. Janssen, H. Van As, and J. P. M. van Duynhoven, Macromolecules 48 (20), 7585 (2015).

    Article  CAS  Google Scholar 

  66. R. Poling-Skutvik, R. Krishnamoorti, and J. C. Conrad, ACS Macro Lett. 4 (10), 1169 (2015).

    Article  CAS  Google Scholar 

  67. A.-Y. Jee, J. L. Curtis-Fisk, and S. Granick, Macromolecules 47 (16), 5793 (2014).

    Article  CAS  Google Scholar 

  68. T. Cherdhirankorn, A. Best, K. Koynov, K. Peneva, K. Muellen, and G. Fytas, J. Phys. Chem. B 113 (11), 3355 (2009).

    Article  CAS  PubMed  Google Scholar 

  69. A. Tuteja, M. E. Mackay, S. Narayanan, S. Asokan, and M. S. Wong, Nano Lett. 7 (5), 1276 (2007).

    Article  CAS  PubMed  Google Scholar 

  70. C. A. Grabowski, B. Adhikary, and A. Mukhopadhyaya, Appl. Phys. Lett. 94 (2), 021903 (2009).

    Article  CAS  Google Scholar 

  71. C. A. Grabowski and A. Mukhopadhyay, Macromolecules 47 (20), 7238 (2014).

    Article  CAS  Google Scholar 

  72. L. Maldonado-Camargo and C. Rinaldi, Nano Lett. 16 (11), 6767 (2016).

    Article  CAS  PubMed  Google Scholar 

  73. J. Choi, M. Cargnello, C. B. Murray, N. Clarke, K. I. Winey, and R. J. Composto, ACS Macro Lett. 4 (9), 952 (2015).

    Article  CAS  Google Scholar 

  74. B. Carroll, V. Bocharova, J.-M. Y. Carrillo, A. Kisliuk, S. Cheng, U. Yamamoto, K. S. Schweizer, B. G. Sumpter, and A. P. Sokolov, Macromolecules 51 (6), 2268 (2018).

    Article  CAS  Google Scholar 

  75. M. Lungova, M. Krutyeva, W. Pyckhout-Hintzen, A. Wischnewski, M. Monkenbusch, J. Allgaier, M. Ohl, M. Sharp, and D. Richter, Phys. Rev. Lett. 117 (14), 147803 (2016).

    Article  CAS  PubMed  Google Scholar 

  76. L.-H. Cai, S. Panyukov, and M. Rubinstein, Macromolecules 48 (3), 847 (2015).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  77. U. Yamamoto and K. S. Schweizer, Macromolecules 48 (1), 152 (2015).

    Article  CAS  Google Scholar 

  78. G. I. Gurevich, Deformability of Media and Development of Earth Wave (Nauka, Moscow, 1974) [in Russian].

    Google Scholar 

  79. R. Mangal, S. Srivastava, S. Narayanan, and L. A. Archer, Langmuir 32 (2), 596 (2016).

    Article  CAS  PubMed  Google Scholar 

  80. S. Cheng, S.-J. Xie, J.-M. Y. Carrillo, B. Carroll, H. Martin, P.-F. Cao, M. D. Dadmun, B. G. Sumpter, V. N. Novikov, K. S. Schweizer, and A. P. Sokolov, ACS Nano 11 (1),752.

  81. F. Brochard-Wyart and P. G. de Gennes, Eur. Phys. J. E: Soft Matter Biol. Phys. 1 (1), 93 (2000).

    Article  Google Scholar 

  82. L.-H. Cai, S. Panyukov, and M. Rubinstein, Macromolecules 44 (19), 7853 (2011).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  83. H. Nakanishi and S. Redner, Phys. Lett. A 88 (2), 67 (1982).

    Article  Google Scholar 

  84. V. M. Nazarychev, A. V. Lyulin, S. V. Larin, I. V. Gofman, J. M. Kenny, and S. V. Lyulin, Macromolecules 49 (17), 6700 (2016).

    Article  CAS  Google Scholar 

  85. M. Damaceanu, R. Rusu, M. Cristea, V. Musteata, M. Bruma, and A. Wolinska-Grabczyk, Macromol. Chem. Phys. 215 (16), 1573 (2014).

    Article  CAS  Google Scholar 

  86. A. V. Lyulin, J. Li, T. Mulder, B. Vorselaars, and M. A. J. Michels, Macromol. Symp. 237 (1),108.

  87. V. M. Nazarychev, A. Yu. Dobrovskiy, S. V. Larin, A. V. Lyulin, and S. V. Lyulin, J. Polym. Sci., Part B: Polym. Phys. 56 (5), 375 (2018).

    Article  CAS  Google Scholar 

  88. C. Bennemann, W. Paul, K. Binder, and B. Dünweg, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 57 (1), 843 (1998).

    Article  CAS  Google Scholar 

  89. F. W. Starr, T. B. Schroder, and S. C. Glotzer, Macromolecules 35 (11), 4481 (2002).

    Article  CAS  Google Scholar 

  90. J. D. Ferry, Viscoelastic Properties of Polymers (Wiley, New York, 1980).

    Google Scholar 

  91. S. V. Lyulin, S. V. Larin, A. A. Gurtovenko, N. V. Lukasheva, V. E. Yudin, V. M. Svetlichnyi, and A. V. Lyulin, Polym. Sci., Ser. A 54 (8), 631 (2012).

    Article  CAS  Google Scholar 

  92. V. M. Nazarychev, S. V. Larin, N. V. Lukasheva, A. D. Glova, and S. V. Lyulin, Polym. Sci., Ser. A 55 (9), 570 (2013).

    Article  CAS  Google Scholar 

  93. M. Doi and S. F. Edwards, Theory of Polymer Dynamics (Acad. Press, New York, 1986).

    Google Scholar 

  94. Yu. Ya. Gotlib, A. A. Darinskii, and Yu. E. Svetlov, Physical Kinetics of Macromolecules (Khimiya, Leningrad, 1986) [in Russian].

    Google Scholar 

  95. P. Langevin, C. R. Acad. Sci. 146, 530 (1908).

    CAS  Google Scholar 

  96. Y. E. Meroz and I. M. Sokolov, Phys. Rep. 573, 1 (2015).

    Article  Google Scholar 

  97. I. M. Sokolov, Soft Matter 8 (35), 9043 (2012).

    Article  CAS  Google Scholar 

  98. R. Metzler, J.-H. Jeon, A. G. Cherstvy, and E. Barkai, Phys. Chem. Chem. Phys. 16 (44), 24128 (2014).

    Article  CAS  PubMed  Google Scholar 

  99. T. G. Mason, Rheol. Acta 39 (4), 371 (2000).

    Article  CAS  Google Scholar 

  100. T. A. Waigh, Rep. Prog. Phys. 79, 074601 (2016).

    Article  CAS  PubMed  Google Scholar 

  101. GG. Vogiatzis and D. N. Theodorou, Arch. Comput. Methods Eng. 25, 591 (2018).

    Article  PubMed  Google Scholar 

  102. Modeling and Prediction of Polymer Nanocomposite Properties, Ed. by V. Mittal (Wiley-VCH Verlag, Weinheim, 2013).

  103. Simulation Methods for Polymers, Ed. by M. Kotelyanskii and D. N. Theodorou (CRC Press, Boca Raton, 2004).

  104. J. L. Barrat, J. Baschnagel, and A. Lyulin, Soft Matter 6 (15), 3430 (2010).

    Article  CAS  Google Scholar 

  105. S. V. Lyulin, A. A. Gurtovenko, S. V. Larin, V. M. Nazarychev, and A. V. Lyulin, Macromolecules 46 (15), 6357 (2013).

    Article  CAS  Google Scholar 

  106. P. M. De Biase, S. Markosyan, and S. Noskov, J. Comput. Chem. 35 (9), 711 (2014).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  107. E. A. Cino, W.-Y. Choy, and M. Karttunen, J. Chem. Theory Comput. 8 (8), 2725 (2012).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  108. S. V. Lyulin, S. V. Larin, A. A. Gurtovenko, V.M. Nazarychev, S. G. Falkovich, V. E. Yudin, V. M. Svetlichnyi, I. V. Gofman, and A. V. Lyulin, Soft Matter 10, 1224 (2014).

    Article  CAS  PubMed  Google Scholar 

  109. J. Liu, D. Cao, and L. Zhang, J. Phys. Chem. C 112 (17), 6653 (2008).

    Article  CAS  Google Scholar 

  110. J. T. Kalathi, U. Yamamoto, K. S. Schweizer, G. S. Grest, and S. K. Kumar, Phys. Rev. Lett. 112 (10), 108301 (2014).

    Article  CAS  PubMed  Google Scholar 

  111. U. Yamamoto, J.-M. Y. Carrillo, V. Bocharova, A. P. Sokolov, B. G. Sumpter, and K. S. Schweizer, Macromolecules 51 (6), 2258 (2018).

    Article  CAS  Google Scholar 

  112. A. Patti, J. Phys. Chem. B 118 (13), 3731 (2014).

    Article  CAS  PubMed  Google Scholar 

  113. Physical Properties of Polymers Handbook, Ed. by J. E. Mark (Springer-Verlag, New York, 2007).

  114. I. V. Volgin, S. V. Larin, E. Abad, and S. V. Lyulin, Macromolecules 50 (5), 2207 (2017).

    Article  CAS  Google Scholar 

  115. I. V. Volgin, S. V. Larin, A. V. Lyulin, and S. V. Lyulin, Polymer 145, 80 (2018).

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Macromolecular Compounds, Russian Academy of Sciences, St. Petersburg, 199004, Russia

    I. V. Volgin, S. V. Larin & S. V. Lyulin

Authors
  1. I. V. Volgin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. V. Larin
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. V. Lyulin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. V. Larin.

Additional information

Original Russian Text © I.V. Volgin, S.V. Larin, S.V. Lyulin, 2018, published in Vysokomolekulyarnye Soedineniya, Seriya C, 2018, Vol. 60, No. 2, pp. 221–235.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Volgin, I.V., Larin, S.V. & Lyulin, S.V. Diffusion of Nanoparticles in Polymer Systems. Polym. Sci. Ser. C 60 (Suppl 1), 122–134 (2018). https://doi.org/10.1134/S1811238218020212

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1811238218020212

Search

Navigation