Abstract
Problems in nonlinear properties of carbon nanotubes with a strong interaction of electrons are considered if the electron mobility, the Coulomb repulsion of electrons at one site of a carbon nanotube, and variations in the distance between neighboring sites owing to acoustic oscillations are taken into account. The possible occurrence of nonlinear acoustic lattices in carbon nanotubes that are small in diameter is investigated.
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References
Dresselhaus, M.S., Dresselhaus, G., and Eklund, P.C., Science of Fullerenes and Carbon Nanotubes, N.Y., etc.: Acad. Press, 1996.
Harris, P.J.F., Carbon Nanotubes and Related Structures. XXI century New Materials, Cambridge Univ. Press, 1999.
Dodd, R.K., Eilbeck, J.C., Gibbon, J.D., and Morris, H.C., Solitons and Nonlinear Wave Equations, Academic Press, 1987.
Wadati, M. and Gibbs, H.M., Solitons, Ed. by Bullough, R.K. and Caudrey, P.J., Heidelberg: Springer-Verlag, 1980. Translated under the title Solitony, Moscow: Mir, 1983.
Samarskii, A.A., Vvedenie v chislennye metody (Introduction to Numerical Methods), Moscow: Nauka, 1976. Dewar, M.J.S. and Thiel, W., J. Amer. Chem. Soc., 1977, vol. 99, p. 4899.
Dresselhaus, M.S., Dresselhaus, G., and Avouris, P., Carbon Nanotubes: Synthesis, Structure, Properties, and Applications, Berlin: Springer-Verlag, 2000.
Sakhnenko, V.P. and Chechin, G.M., Bull. Phys., 1993, vol. 330, p. 308.
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Original Russian Text © M.B. Belonenko, E.V. Demushkina, N.G. Lebedev, 2007, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2007, Vol. 71, No. 1, pp. 140–144.
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Belonenko, M.B., Demushkina, E.V. & Lebedev, N.G. Nonlinear electron density waves and nonlinear acoustic waves in carbon nanotubes. Bull. Russ. Acad. Sci. Phys. 71, 134–138 (2007). https://doi.org/10.3103/S1062873807010340
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DOI: https://doi.org/10.3103/S1062873807010340