This article is cited in 6 papers

Oscillatory-damping temperature behavior in one-dimensional harmonic model of a perfect crystal

M. A. Guzev^a, A. A. Dmitriev<sup>ab

a</sup> Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
^b Far Eastern Federal University, Vladivostok

Abstract: We constructed an analytical solution for the equations modeling a one-dimensional harmonic crystal. The solution is used to calculate the temperature as a measure of kinetic energy. For stochastic initial conditions, we obtain a law of temperature distribution which differs from the Fourier law. It is demonstrated that the correlations linking the position of the particles leads to the appearance of harmonics at twice the frequency compared with the main oscillation generated due to correlations between the initial velocities.

Key words: one-dimensional harmonic crystal, the temperature distribution, correlation, speed.

UDC: 517.927.2, 531

MSC: Primary 34A25; Secondary 34A30, 70B99

Received: 30.10.2017

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