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Solitons in stochastic molecular chains

Abstract

The dynamics of solitary collective excitations in one-dimensional molecular crystals under the action of stochastic perturbations is studied. An equation is derived for the mean field of nonlinear collective excitations a(x, t) and deformation of the lattice ρ(x, t). The law describing the decay of collective excitations is obtained.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 21–25, December, 1981.

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Abdullaev, F.K., Abdumalikov, A.A. & Rakhmatov, A.S. Solitons in stochastic molecular chains. Soviet Physics Journal 24, 1082–1086 (1981). https://doi.org/10.1007/BF00893728

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Keywords

  • Soliton
  • Molecular Chain
  • Molecular Crystal
  • Collective Excitation
  • Stochastic Perturbation