Doklady Physical Chemistry

, Volume 472, Issue 1, pp 6–9 | Cite as

Effect of correlations in the interaction along polymer chain on the globule structure

  • A. M. Astakhov
  • V. A. Ivanov
  • V. V. Vasilevskaya
Physical Chemistry


A special potential for interaction between polymer chain units, whose energy decreases with increasing distance s between the units as s –1, was introduced for the first time. According to Monte Carlo simulation, interactions of this type result in the formation of a globule with an equilibrium packing of domains in space. The radius of gyration of a chain segment in these globules varies with segment length according to the scaling law typical of crumpled globules.


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  1. 1.
    Grosberg, A.Y., Nechaev, S.K., and Shakhnovich, E.I., J. Phys., 1988, vol. 49, no. 12, pp. 2095–2100.CrossRefGoogle Scholar
  2. 2.
    Grosberg, A.Y., Rabin, Y., Havlin, S., and Neer, A., Europhys. Lett., 1993, vol. 23, no. 5, pp. 373–378.CrossRefGoogle Scholar
  3. 3.
    Lieberman-Aiden, E., van Berkum, N.L., Williams, L., Imakaev, M., Ragoczy, T., Telling, A., Amit, I., Lajoie, B.R., Sabo, P.J., Dorschner, M.O., Sandstrom, R., Bernstein, B., Bender, M.A., Groudine, M., Gnirke, A., Stamatoyannopoulos, J., Mirny, L.A., Lander, E.S., and Dekker, J., Science, 2009, vol. 326, no. 5950, pp. 289–293.CrossRefGoogle Scholar
  4. 4.
    Tamm, M.V., Nazarov, L.I., Gavrilov, A.A., and Chertovich, A.V., Phys. Rev. Lett., 2015, vol. 114, no. 17, p. 178102.CrossRefGoogle Scholar
  5. 5.
    Mirny, L.A., Chromosome Res., 2011, vol. 19, no. 1, pp. 37–51.CrossRefGoogle Scholar
  6. 6.
    Imakaev, M.V., Tchourine, K.M., Nechaev, S.K., and Mirny, L.A., Soft Matter, 2015, vol. 11, no. 4, pp. 665–671.CrossRefGoogle Scholar
  7. 7.
    Schram, R.D., Barkema, G.T., and Schiessel, H., J. Chem. Phys., 2013, vol. 138, no. 22, p. 224901.CrossRefGoogle Scholar
  8. 8.
    Glagoleva, A.A., Vasilevskaya, V.V., and Khokhlov, A.R., Soft Matter, 2016, vol. 12, no. 23, pp. 5138–5145.CrossRefGoogle Scholar
  9. 9.
    Avetisov, V.A., Ivanov, V.A., Meshkov, D.A., and Nechaev, S.K., JETP Lett., 2013, vol. 98, no. 4, pp. 242–246.CrossRefGoogle Scholar
  10. 10.
    Bunin, G. and Kardar, M., Phys. Rev. Lett., 2015, vol. 115, no. 8, p. 088303.CrossRefGoogle Scholar
  11. 11.
    Chertovich, A. and Kos, P., J. Chem. Phys., 2014, vol. 141, no. 13, p. 134903.CrossRefGoogle Scholar
  12. 12.
    Gerroff, I., Milchev, A., Binder, K., and Paul, W., J. Chem. Phys., 1993, vol. 98, no. 8, pp. 6526–6539.CrossRefGoogle Scholar
  13. 13.
    Kremer, K. and Grest, G.S., J. Chem. Phys., 1990, vol. 92, no. 8, pp. 5057–5086.CrossRefGoogle Scholar
  14. 14.
    Grosberg A.Yu., Khokhlov A.R., Statisticheskaya fizika makromolekul (Statistical Physics of Macromolecules), Moscow Nauka, 1989.Google Scholar
  15. 15.
    Sadovnichy, V., Tikhonravov, A., Voevodin, V., and Opanasenko, V., in Contemporary High Performance Computing: From Petascale toward Exascale, London: Chapman and Hall/CRC, 2013, pp. 283–308.Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  • A. M. Astakhov
    • 1
    • 3
  • V. A. Ivanov
    • 1
  • V. V. Vasilevskaya
    • 2
  1. 1.Moscow State UniversityMoscowRussia
  2. 2.Nesmeyanov Institute of Organoelement CompoundsRussian Academy of SciencesMoscowRussia
  3. 3.Semenov Institute of Chemical PhysicsRussian Academy of SciencesMoscowRussia

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