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.
| File | Dimensione | Formato | |
|---|---|---|---|
|
FPUchop_revised.pdf
Open Access dal 12/06/2019
Descrizione: Articolo in formato PDF
Tipologia:
Post-print, accepted manuscript ecc. (versione accettata dall'editore)
Dimensione
846.37 kB
Formato
Adobe PDF
|
846.37 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
