Geodesic
Non-stationary thermo-diffusion processes in finite one-dimensional crystal
Čebyševskij sbornik, Tome 18 (2017) no. 3, pp. 332-351

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A periodic one-dimensional harmonic crystal subjected to an instantaneous spatially uniform thermal perturbation is considered. Fast transitional and long evolutionary processes are observed. Time dependance of thermal and diffusion characteristics is analyzed. Influence of the crystal finite size on the transitional and evolutionary processes is considered. The principal difference in long time behavior for statistical averages for squares of velocities and squares of displacements is demonstrated.
Keywords: Harmonic crystal, nonequilibrium thermodynamics, temperature, diffusion. 
@article{CHEB_2017_18_3_a19,
     author = {A. M. Krivtsov and A. S. Murachev and D. V. Tsvetkov},
     title = {Non-stationary thermo-diffusion  processes in finite one-dimensional  crystal},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {332--351},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2017_18_3_a19/}
}
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A. M. Krivtsov; A. S. Murachev; D. V. Tsvetkov. Non-stationary thermo-diffusion  processes in finite one-dimensional  crystal. Čebyševskij sbornik, Tome 18 (2017) no. 3, pp. 332-351. http://geodesic.mathdoc.fr/item/CHEB_2017_18_3_a19/