2017
DOI: 10.1088/1674-1056/26/10/100505
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Dynamical energy equipartition of the Toda model with additional on-site potentials

Abstract: We study the dynamical energy equipartition properties in the integrable Toda model with additional uniform or disordered on-site energies by extensive numerical simulations. The total energy is initially equidistributed among some of the lowest frequency linear modes. For the Toda model with uniform on-site potentials, the energy spectrum keeps its profile nearly unchanged in a relatively short time scale. On a much longer time scale, the energies of tail modes increase slowly with time. Energy equipartition … Show more

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Cited by 6 publications
(2 citation statements)
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“…Over the past decades, the study of energy relaxation in anharmonic disordered systems has attracted a lot of interest both theoretically [1][2][3][4][5][6][7][8][9][10][11][12] and experimentally. [13][14][15][16][17][18] In a simple case of harmonic disordered systems, this is relevant to the celebrated Anderson localization phenomenon predicted for noninteracting electrons propagating in uncorrelated random landscapes, [19] which has the strongest effect in one dimension.…”
Section: Introductionmentioning
confidence: 99%
“…Over the past decades, the study of energy relaxation in anharmonic disordered systems has attracted a lot of interest both theoretically [1][2][3][4][5][6][7][8][9][10][11][12] and experimentally. [13][14][15][16][17][18] In a simple case of harmonic disordered systems, this is relevant to the celebrated Anderson localization phenomenon predicted for noninteracting electrons propagating in uncorrelated random landscapes, [19] which has the strongest effect in one dimension.…”
Section: Introductionmentioning
confidence: 99%
“…Several studies have addressed this question. The pinned Toda system was studied in [28] where it was found that energy transfer to high-frequency modes is slow and energy equipartition is not observed in the studied time scale. Similar features were observed in the trapped hard rod system [29], where it was observed that the system become chaotic after a characteristic time scale but fails to thermalize even at extremely large times.…”
Section: Introductionmentioning
confidence: 99%