Energy oscillations in a one-dimensional harmonic crystal on an elastic substrate
- 作者: Babenkov M.1,2, Krivtsov A.1,2, Tsvetkov D.1,2
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隶属关系:
- Peter the Great St. Petersburg Polytechnic University
- Institute of Problems of Mechanical Engineering
- 期: 卷 19, 编号 3 (2016)
- 页面: 282-290
- 栏目: Article
- URL: https://journals.rcsi.science/1029-9599/article/view/191152
- DOI: https://doi.org/10.1134/S1029959916030061
- ID: 191152
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详细
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.
作者简介
M. Babenkov
Peter the Great St. Petersburg Polytechnic University; Institute of Problems of Mechanical Engineering
Email: akrivtsov@bk.ru
俄罗斯联邦, St. Petersburg, 195251; St. Petersburg, 199178
A. Krivtsov
Peter the Great St. Petersburg Polytechnic University; Institute of Problems of Mechanical Engineering
编辑信件的主要联系方式.
Email: akrivtsov@bk.ru
俄罗斯联邦, 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
俄罗斯联邦, St. Petersburg, 195251; St. Petersburg, 199178