Energy oscillations in a one-dimensional harmonic crystal on an elastic substrate
- Autores: Babenkov M.1,2, Krivtsov A.1,2, Tsvetkov D.1,2
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Afiliações:
- Peter the Great St. Petersburg Polytechnic University
- Institute of Problems of Mechanical Engineering
- Edição: Volume 19, Nº 3 (2016)
- Páginas: 282-290
- Seção: Article
- URL: https://journals.rcsi.science/1029-9599/article/view/191152
- DOI: https://doi.org/10.1134/S1029959916030061
- ID: 191152
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Resumo
A one-dimensional harmonic crystal on an elastic substrate is considered as a stochastic system into which randomness is introduced through initial conditions. The use of the particle velocity and displacement covariances reduces the stochastic problem to a closed deterministic problem for statistical characteristics of particle pairs. An equation of rapid motion that describes oscillations of potential and kinetic energy components of the system has been derived and solved. The obtained solutions are used to determine the character and to estimate the time of decay of the transient process that brings the system to thermodynamic equilibrium.
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Sobre autores
M. Babenkov
Peter the Great St. Petersburg Polytechnic University; Institute of Problems of Mechanical Engineering
Email: akrivtsov@bk.ru
Rússia, St. Petersburg, 195251; St. Petersburg, 199178
A. Krivtsov
Peter the Great St. Petersburg Polytechnic University; Institute of Problems of Mechanical Engineering
Autor responsável pela correspondência
Email: akrivtsov@bk.ru
Rússia, St. Petersburg, 195251; St. Petersburg, 199178
D. Tsvetkov
Peter the Great St. Petersburg Polytechnic University; Institute of Problems of Mechanical Engineering
Email: akrivtsov@bk.ru
Rússia, St. Petersburg, 195251; St. Petersburg, 199178