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This article is cited in 4 scientific papers (total in 4 papers)
Low dimensional systems
Equilibrium distribution of the wave energy in a carbyne chain
D. A. Kovrigina, S. P. Nikitenkovab a Nizhny Novgorod State Technical University
b Lobachevsky State University of Nizhny Novgorod
Abstract:
The steady-state energy distribution of thermal vibrations at a given ambient temperature has been investigated based on a simple mathematical model that takes into account central and noncentral interactions between carbon atoms in a one-dimensional carbyne chain. The investigation has been performed using standard asymptotic methods of nonlinear dynamics in terms of the classical mechanics. In the first-order nonlinear approximation, there have been revealed resonant wave triads that are formed at a typical nonlinearity of the system under phase matching conditions. Each resonant triad consists of one longitudinal and two transverse vibration modes. In the general case, the chain is characterized by a superposition of similar resonant triplets of different spectral scales. It has been found that the energy equipartition of nonlinear stationary waves in the carbyne chain at a given temperature completely obeys the standard Rayleigh–Jeans law due to the proportional amplitude dispersion. The possibility of spontaneous formation of three-frequency envelope solitons in carbyne has been demonstrated. Heat in the form of such solitons can propagate in a chain of carbon atoms without diffusion, like localized waves.
Keywords:
Soliton, Vibration Mode, Dark Soliton, Phase Match Condition, Carbyne.
Received: 13.05.2015
Citation:
D. A. Kovrigin, S. P. Nikitenkova, “Equilibrium distribution of the wave energy in a carbyne chain”, Fizika Tverdogo Tela, 58:3 (2016), 595–604; Phys. Solid State, 58:3 (2016), 611–621
Linking options:
https://www.mathnet.ru/eng/ftt10059 https://www.mathnet.ru/eng/ftt/v58/i3/p595
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