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arXiv · 1705.00932

Chopping time of the FPU $\alpha$-model

Andrea Carati·Antonio Ponno
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Abstract

We study, both numerically and analytically, the time needed to observe the breaking of an FPU $\alpha$-chain in two or more pieces, starting from an unbroken configuration at a given temperature. It is found that such a "chopping" time is given by a formula that, at low temperatures, is of the Arrhenius-Kramers form, so that the chain does not break up on an observable time-scale. The result explains why the study of the FPU problem is meaningful also in the ill-posed case of the $\alpha$-model

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BibTeXRIS

Andrea Carati, Antonio Ponno. 2017-05-02. Chopping time of the FPU $\alpha$-model. https://doi.org/10.1007/s10955-018-1962-8

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