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The structure of percolated polymer systems: a computer simulation study

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Abstract

We studied the percolation process in a system consisting of long flexible polymer chains and solvent molecules. The polymer chains were approximated by linear sequences of beads on a two-dimensional triangular lattice. The system was athermal and the excluded volume was the only potential. The properties of the model system across the entire range of polymer concentrations were determined by Monte Carlo simulations employing a cooperative motion algorithm (CMA). The scaling behavior and the structure of the percolation clusters are presented and discussed.

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References

  1. Stauffer D, Aharony A (1994) Introduction to percolation theory. Taylor and Francis, London

  2. Vigil RD, Ziff RM (1989) J Chem Phys 91:2599–2602

    Article  Google Scholar 

  3. Ziff RM, Vigil RD (1990) J Phys A 23:5103–5108

    Google Scholar 

  4. Vandewalle N, Galam S, Kramer M (2000) Eur Phys J B 14:407–410

    Article  CAS  Google Scholar 

  5. Kondrat G, Pekalski A (2001) Phys Rev E 63:051108

    Google Scholar 

  6. Kondrat G, Pekalski A (2001) Phys Rev E 64:056118

    Google Scholar 

  7. Adamczyk P, Romiszowski P, Sikorski A (2008) J Chem Phys 128:154911

    Article  Google Scholar 

  8. Evans JW (1993) Rev Mod Phys 65:1281–1329

    Article  CAS  Google Scholar 

  9. Tarasevich YY, Cherkasova VA (2007) Eur Phys J B 60:97–100

    Article  CAS  Google Scholar 

  10. De Gennes PG (1979) Scaling concepts in polymer physics. Cornell University Press, Ithaca

  11. Becklehimer JL, Pandey RB (1994) J Stat Phys 75:765–771

    Article  Google Scholar 

  12. Wang SJ, Pandey RB (1996) Phys Rev Lett 77:1773–1776

    Article  CAS  Google Scholar 

  13. Kondrat G (2003) J Chem Phys 117:6662–6666

    Article  Google Scholar 

  14. Jia LC, Lai PY (1996) J Chem Phys 105:11319–11325

    Article  CAS  Google Scholar 

  15. Sikorski A (2001) Macromol Theory Simul 10:38–45

    Article  CAS  Google Scholar 

  16. Kosmas MK (1990) Macromolecules 23:2061–2065

    Article  CAS  Google Scholar 

  17. Wang X, Chatterjee AP (2003) J Chem Phys 118:10787–10793

    Article  CAS  Google Scholar 

  18. Otten R HJ, van der Schoot P (2009) Phys Rev Lett (2009) 103:225704

    Google Scholar 

  19. Williams SR, Philipse AP (2003) Phys Rev E 67:051301

    Google Scholar 

  20. Chatterjee AP (2008) J Phys Condens Matter 20:255250

    Article  Google Scholar 

  21. Adamczyk P, Polanowski P, Sikorski A (2009) J Chem Phys 131:234901

    Article  Google Scholar 

  22. Wu Y, Schmittmann B, Zia RKP (2008) J Phys A 41:025004

    Google Scholar 

  23. Zia RKP, Wu Y, Schmittmann B (2009) J Math Chem 45:58–64

    Article  CAS  Google Scholar 

  24. Schilling T, Jungblut S, Miller AA (2007) Phys Rev Lett 98:108303

    Article  CAS  Google Scholar 

  25. Pakula T (1987) Macromolecules 20:679–682

    Article  CAS  Google Scholar 

  26. Pakula T, Geyler S (1987) Macromolecules 20:2909–2914

    Article  CAS  Google Scholar 

  27. Geyler S, Pakula T, Reiter J (1990) J Chem Phys 92:2676–2680

    Article  CAS  Google Scholar 

  28. Reiter J, Edling T, Pakula T (1990) J Chem Phys 93:837–844

    Article  CAS  Google Scholar 

  29. Polanowski P, Jeszka JK (2007) Langmuir 23:8678–8680

    Article  CAS  Google Scholar 

  30. Drory A, Balberg I, Alon U (1991) Phys Rev Abstr 43:6604–6612

    Google Scholar 

  31. Yethiraj A (2003) Macromolecules 36:5854–5862

    Article  CAS  Google Scholar 

  32. Rudnick JA, Gaspari G (1986) J Phys A 19:L191–L193

    Article  Google Scholar 

  33. Cornette V, Ramirez-Pastor AJ, Nieto F (2003) Eur Phys J B 36:391–399

    Article  CAS  Google Scholar 

  34. Yi YB, Sastry AM (2004) P Roy Soc Lond A 460:2353–2380

    Google Scholar 

  35. Lebovka N, Lisunova M, Mamunya YP, Vygornitskii N (2006) J Phys D 39:2264–2271

    Google Scholar 

Download references

Acknowledgments

The computational part of this work was done using the computer cluster at the Computing Center of the Department of Chemistry at the University of Warsaw.

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Authors and Affiliations

  1. Department of Chemistry, University of Warsaw, Pasteura 1, 02-093, Warsaw, Poland

    Andrzej Sikorski, Piotr Adamczyk & Szymon Żerko

  2. Department of Molecular Physics, Technical University of Łódź, Żeromskiego 116, 90-924, Łódź, Poland

    Piotr Polanowski

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  1. Andrzej Sikorski
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  2. Piotr Polanowski
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  3. Piotr Adamczyk
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  4. Szymon Żerko
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Correspondence to Andrzej Sikorski.

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Sikorski, A., Polanowski, P., Adamczyk, P. et al. The structure of percolated polymer systems: a computer simulation study. J Mol Model 17, 2209–2215 (2011). https://doi.org/10.1007/s00894-011-0984-9

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  • DOI: https://doi.org/10.1007/s00894-011-0984-9

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