Energy oscillations in a one-dimensional harmonic crystal on an elastic substrate
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 statistic...
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| Veröffentlicht in: | Physical mesomechanics 2016-07, Vol.19 (3), p.282-290 |
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| container_title | Physical mesomechanics |
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| creator | Babenkov, M. B. Krivtsov, A. M. Tsvetkov, D. V. |
| description | 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. |
| doi_str_mv | 10.1134/S1029959916030061 |
| format | Article |
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B.</creatorcontrib><creatorcontrib>Krivtsov, A. M.</creatorcontrib><creatorcontrib>Tsvetkov, D. V.</creatorcontrib><title>Energy oscillations in a one-dimensional harmonic crystal on an elastic substrate</title><title>Physical mesomechanics</title><addtitle>Phys Mesomech</addtitle><description>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. 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| issn | 1029-9599 1990-5424 |
| language | eng |
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| subjects | Classical Mechanics Initial conditions Kinetic energy Materials Science Oscillations Physics Physics and Astronomy Randomness Solid State Physics Thermodynamic equilibrium |
| title | Energy oscillations in a one-dimensional harmonic crystal on an elastic substrate |
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