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Macroscopic evidence of microscopic dynamics in the Fermi-Pasta-Ulam oscillator chain from nonlinear time series analysis | | M. Romero-Bastida
; D. Castaneda
; E. Braun
; | | Date: |
28 Feb 2005 | | Subject: | Chaotic Dynamics; Statistical Mechanics | nlin.CD cond-mat.stat-mech | | Abstract: | The problem of detecting specific features of microscopic dynamics in the macroscopic behavior of a many-degrees-of-freedom system is investigated by analyzing the position and momentum time series of a heavy impurity embedded in a chain of nearest-neighbor anharmonic Fermi-Pasta-Ulam oscillators. Results obtained in a previous work [M. Romero-Bastida, Phys. Rev. E {f69}, 056204 (2004)] suggest that the impurity does not contribute significantly to the dynamics of the chain and can be considered as a probe for the dynamics of the system to which the impurity is coupled. The ($r, au$) entropy, which measures the amount of information generated by unit time at different scales $ au$ of time and $r$ of the observable, is numerically computed by methods of nonlinear time-series analysis using the position and momentum signals of the heavy impurity for various values of the energy density $epsilon$ (energy per degree of freedom) of the system and some values of the impurity mass $M$. Results obtained from these two time series are compared and discussed. | | Source: | arXiv, nlin.CD/0502064 | | Services: | Forum | Review | PDF | Favorites | |
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