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Solitons on a diatomic chain with alternating interactions

  • Part I : Hydrogen-Bonded Chains
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Nonlinear Coherent Structures

Part of the book series: Lecture Notes in Physics ((LNP,volume 353))

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Abstract

We search for pulse-like solitary waves on a one-dimensional lattice with two alternating masses and two alternating interactions. The equations of motion in Fourier space are treated by an iterative method which takes into account the discreteness effects. We present numerical results for the case that one of the interactions is linear (this is an excellent approximation in the case of a generalized Yomosa model for the energy transport in cc-helical proteins). Moreover we discuss the finite lifetime of the solitons due to the emission of optical phonons.

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References

  1. S. Yomosa, J. Phys. Soc. Japan 53, 3692 (1984); Phys. Rev. A 32, 1752 (1985)

    Article  Google Scholar 

  2. A.S. Davydov, J. Theor. Biol. 38, 559 (1973); Stud. Biophys. 47, 221 (1984); Phys. Scr. 20, 387 (1979), Biology and Quantum Mechanics (Pergamon, New York, 1982)

    PubMed  Google Scholar 

  3. D. Hochstraßer, F.G. Mertens, and H. Büttner, Phys. Rev. A, in press

    Google Scholar 

  4. D. Hochstraßer, F.G. Mertens, and H. Büttner, Physica D 35, 259 (1989)

    Article  Google Scholar 

  5. M. Peyrard, St. Pnevmatikos, and N. Flytzanis, Physica 19 D, 268 (1986)

    Google Scholar 

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M. Barthes J. Léon

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© 1990 Springer-Verlag

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Mertens, F.G., Hochstraßer, D. (1990). Solitons on a diatomic chain with alternating interactions. In: Barthes, M., Léon, J. (eds) Nonlinear Coherent Structures. Lecture Notes in Physics, vol 353. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0033629

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  • DOI: https://doi.org/10.1007/BFb0033629

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52240-9

  • Online ISBN: 978-3-540-46937-7

  • eBook Packages: Springer Book Archive

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