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
H. Haken, Synergetics: An Introduction (Springer-Verlag, Berlin, 1977) [Russian translation, Mir, Moscow, 1980].
A. M. Sanin and Yu. L. Ermolaev, Electron Synergetics [in Russian], Leningrad State Univ. Press, Leningrad (1989).
A. I. Mel’ker, Simulation of Experiments [in Russian], Ser. Fizika No. 10 (Znanie, Moscow, 1991).
I. Word, Mechanical Properties of Solid Polymers (Khimiya, Moscow, 1975).
H. G. Elias, Trends in Macromolecular Science (Gordon and Breach, New York, 1973) [Russian translation, Khimiya, Leningrad, 1975].
P. J. Flory, Statistical Mechanics of Chain Molecules (Wiley, New York, 1968) [Russian translation, Mir, Moscow, 1971].
B. Wunderlich, Macromolecular Physics: Crystals, Structure, Morphology and Defects, Vols. 1 and 2 (Academic Press, New York, 1973) [Russian translation, Mir, Moscow, 1976].
Th. W. Bell and H. Jousselin, Nature 367, 441 (1994).
I. A. Ovid’ko, Defects in Condensed Matter [in Russian], Znanie, Leningrad (1991).
H. S. Chan and K. A. Dill, Phys. Today, No. 2, 24 (1993).
V. A. Likhachev, A. I. Mikhalin, and L. V. Zhigilei, Philos. Mag. A 69, 421 (1994).
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.
A. I. Melker and T. V. Vorobyeva, Z. Naturforsch. Teil A 49, 1045 (1994).
A. I. Mel’ker and T. V. Vorobyeva, Fiz. Tverd. Tela (St. Petersburg) 37, 244 (1995) [Sov. Phys. Solid State 37, 130 (1995)].
G. M. P. Thompson, Instabilities and Catastrophes in Science and Engineering (Wiley, Chichester, England, 1982) [Russian translation, Mir, Moscow, 1985].
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.
A. Elgsaeter, K. D. Khudsen, and A. Mikkelsen, Polymer Physics (An Introduction) (Univ. Trondheim, 1973).
J. N. Murrel, S. F. A. Kettle, and J. M. Tedder, Valence Theory (Wiley, New York, 1965) [Russian translation, Mir, Moscow, 1968].
A. M. Kosevich, Fundamentals of the Mechanics of Crystal Lattices [in Russian], Nauka, Moscow (1972).
M. V. Vol’kenshtein, L. A. Gribov, M. A. Il’yashevich, and V. I. Stepanov, Molecular Vibrations [in Russian], Nauka, Moscow (1972).
A. I. Kitaigorodskii, Molecular Crystals [in Russian], Nauka, Moscow (1972).
A. Yu. Grosberg and A. R. Khokhlov, Physics in the Polymer World [in Russian], Nauka, Moscow (1989).
I. M. Lifshits, Collected Works [in Russian], Nauka, Moscow (1994).
A. I. Mikhailin and A. I. Mel’ker, Khim. Fiz. 4(1), 15 (1985).
A. Nordsieck, Math. Comput. 16, 22 (1962).
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).
L. D. Landau and E. M. Lifshits, Statistical Physics, Parts 1 and 2, 3rd ed. (Pergamon Press, Oxford, 1980) [Russian original, Nauka, Moscow, 1964].
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.
T. V. Vorobyeva, A. I. Melker, K. D. Khudsen, and A. Elgsaeter, Acta Chem. Scandinavica 50(1), 18 (1996).
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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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DOI: https://doi.org/10.1134/1.1129889