Equilibration of kinetic temperatures in face-centered cubic lattices

Physical Review. E
Vitaly A Kuzkin, Sergei D Liazhkov

Abstract

We study thermal equilibration in face-centered cubic lattices with harmonic and anharmonic (Lennard-Jones) interactions. Initial conditions are chosen such that the kinetic temperatures, corresponding to three spatial directions, are different. We show that in the anharmonic case the approach to thermal equilibrium has two time scales. The first time scale is the period of atomic vibration. At times of the order of several atomic periods, the approach to equilibrium is accompanied by decaying high frequency oscillations of the temperatures. The oscillations are described analytically using the harmonic approximation. In particular, the characteristic frequencies of the oscillations are calculated. It is shown that the oscillations decay in time more slowly than expected. The second time scale, presented in the anharmonic case only, depends on the initial temperature of the system. Normalizing time by this scale, we obtain numerically a universal curve describing equilibration in the Lennard-Jones crystal over a wide range of temperatures.

References

Apr 20, 2005·Chaos·G P Berman, F M Izrailev
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Wm G Hoover, Carol G Hoover
Sep 28, 2010·The Journal of Chemical Physics·Brad Lee HolianRamon Ravelo
Jun 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Venkateshan KannanJ L Lebowitz
Apr 29, 2014·Physical Review Letters·Wm G HooverKarl P Travis
Aug 15, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Suman G DasHerbert Spohn
Mar 26, 2015·Proceedings of the National Academy of Sciences of the United States of America·Miguel OnoratoYuri V Lvov
Nov 9, 2017·Journal of Physics. Condensed Matter : an Institute of Physics Journal·V A Kuzkin, A M Krivtsov
Dec 14, 2018·Journal of Physics. Condensed Matter : an Institute of Physics Journal·A S MurachevD V Tsvetkov
Oct 3, 2019·Physical Review. E·S N Gavrilov, A M Krivtsov
Nov 26, 2019·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·I Berinskii, V A Kuzkin
May 20, 2020·Physical Review. E·Vitaly A Kuzkin, Anton M Krivtsov

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Citations

Feb 11, 2021·Journal of Physics. Condensed Matter : an Institute of Physics Journal·A M Krivtsov, A S Murachev

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