We study, both numerically and analytically, the time needed to observe the breaking of an FPU -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 -model.

Chopping Time of the FPU α -Model / A. Carati, A. Ponno. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - 170:5(2018 Mar), pp. 883-894. [10.1007/s10955-018-1962-8]

Chopping Time of the FPU α -Model

A. Carati
Primo
;
2018

Abstract

We study, both numerically and analytically, the time needed to observe the breaking of an FPU -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 -model.
FPU system; numerical simulations; non equilibrium states
Settore MAT/07 - Fisica Matematica
24-feb-2018
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/556242
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