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Self-organization and the formation of helicoidal polymer structures

  • Polymers. Liquid Crystals
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Abstract

The self-organization of three-dimensional anharmonic chains of atoms with strong interactions between nearest-neighbor atoms and various types of weak interactions between non-nearest neighbors is investigated by the method of molecular dynamics. It is observed that in all cases short helical segments form initially, causing the molecule either to evolve into a stable helicoidal structure or to collapse into a globule. It is shown that the stability of the helicoidal structure is caused by correlations among the weak interactions.

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References

  1. H. Haken, Synergetics: An Introduction (Springer-Verlag, Berlin, 1977) [Russian translation, Mir, Moscow, 1980].

    Google Scholar 

  2. A. M. Sanin and Yu. L. Ermolaev, Electron Synergetics [in Russian], Leningrad State Univ. Press, Leningrad (1989).

    Google Scholar 

  3. A. I. Mel’ker, Simulation of Experiments [in Russian], Ser. Fizika No. 10 (Znanie, Moscow, 1991).

    Google Scholar 

  4. I. Word, Mechanical Properties of Solid Polymers (Khimiya, Moscow, 1975).

    Google Scholar 

  5. H. G. Elias, Trends in Macromolecular Science (Gordon and Breach, New York, 1973) [Russian translation, Khimiya, Leningrad, 1975].

    Google Scholar 

  6. P. J. Flory, Statistical Mechanics of Chain Molecules (Wiley, New York, 1968) [Russian translation, Mir, Moscow, 1971].

    Google Scholar 

  7. B. Wunderlich, Macromolecular Physics: Crystals, Structure, Morphology and Defects, Vols. 1 and 2 (Academic Press, New York, 1973) [Russian translation, Mir, Moscow, 1976].

    Google Scholar 

  8. Th. W. Bell and H. Jousselin, Nature 367, 441 (1994).

    Article  ADS  Google Scholar 

  9. I. A. Ovid’ko, Defects in Condensed Matter [in Russian], Znanie, Leningrad (1991).

    Google Scholar 

  10. H. S. Chan and K. A. Dill, Phys. Today, No. 2, 24 (1993).

  11. V. A. Likhachev, A. I. Mikhalin, and L. V. Zhigilei, Philos. Mag. A 69, 421 (1994).

    Google Scholar 

  12. A. I. Melker and T. V. Vorobyeva, in NATO ARW on Hydrogen Bond Networks, Institut d’Etudes Scientifiques de Cargese, August 16–22, 1993, p. 52.

  13. A. I. Melker and T. V. Vorobyeva, Z. Naturforsch. Teil A 49, 1045 (1994).

    Google Scholar 

  14. A. I. Mel’ker and T. V. Vorobyeva, Fiz. Tverd. Tela (St. Petersburg) 37, 244 (1995) [Sov. Phys. Solid State 37, 130 (1995)].

    Google Scholar 

  15. G. M. P. Thompson, Instabilities and Catastrophes in Science and Engineering (Wiley, Chichester, England, 1982) [Russian translation, Mir, Moscow, 1985].

    Google Scholar 

  16. A. I. Mel’ker, S. V. Govorov, and V. N. Bungov, Bull. 25th All-Union Seminar on Current Problems in Hardness, Staraya Russa, April 1–5, 1991; publ. NPI, Novgorod, 1991, Vol. 2, p. 28.

  17. A. Elgsaeter, K. D. Khudsen, and A. Mikkelsen, Polymer Physics (An Introduction) (Univ. Trondheim, 1973).

  18. J. N. Murrel, S. F. A. Kettle, and J. M. Tedder, Valence Theory (Wiley, New York, 1965) [Russian translation, Mir, Moscow, 1968].

    Google Scholar 

  19. A. M. Kosevich, Fundamentals of the Mechanics of Crystal Lattices [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  20. M. V. Vol’kenshtein, L. A. Gribov, M. A. Il’yashevich, and V. I. Stepanov, Molecular Vibrations [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  21. A. I. Kitaigorodskii, Molecular Crystals [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  22. A. Yu. Grosberg and A. R. Khokhlov, Physics in the Polymer World [in Russian], Nauka, Moscow (1989).

    Google Scholar 

  23. I. M. Lifshits, Collected Works [in Russian], Nauka, Moscow (1994).

    Google Scholar 

  24. A. I. Mikhailin and A. I. Mel’ker, Khim. Fiz. 4(1), 15 (1985).

    Google Scholar 

  25. A. Nordsieck, Math. Comput. 16, 22 (1962).

    ADS  MATH  MathSciNet  Google Scholar 

  26. A. I. Mel’ker, A. I. Mikhailin, N. P. Likhodedov, and O. A. Usov, Preprint No. 661 [in Russian] A. F. Ioffe Physicotechnical Institute, Leningrad (1980).

  27. L. D. Landau and E. M. Lifshits, Statistical Physics, Parts 1 and 2, 3rd ed. (Pergamon Press, Oxford, 1980) [Russian original, Nauka, Moscow, 1964].

    Google Scholar 

  28. T. V. Vorobyeva, A. I. Melker, K. D. Khudsen, and A. Elgsaeter, in Preprints of the 8th Major International Conference Polymat’94, London, September 19–22, 1994, p. 190.

  29. T. V. Vorobyeva, A. I. Melker, K. D. Khudsen, and A. Elgsaeter, Acta Chem. Scandinavica 50(1), 18 (1996).

    Google Scholar 

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Fiz. Tverd. Tela (St. Petersburg) 39, 1883–1888 (October 1997)

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Mel’ker, A.I., Vorob’eva, T.V. Self-organization and the formation of helicoidal polymer structures. Phys. Solid State 39, 1685–1690 (1997). https://doi.org/10.1134/1.1129889

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