# Chopping Time of the FPU $${\alpha }$$ α -Model

Chopping Time of the FPU $${\alpha }$$ α -Model We study, both numerically and analytically, the time needed to observe the breaking of an FPU $$\alpha$$ α -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 $$\alpha$$ α -model. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Statistical Physics Springer Journals

# Chopping Time of the FPU $${\alpha }$$ α -Model

, Volume 170 (5) – Feb 2, 2018
12 pages

/lp/springer_journal/chopping-time-of-the-fpu-alpha-model-Yic0AzFcYS
Publisher
Springer Journals
Subject
Physics; Statistical Physics and Dynamical Systems; Theoretical, Mathematical and Computational Physics; Physical Chemistry; Quantum Physics
ISSN
0022-4715
eISSN
1572-9613
D.O.I.
10.1007/s10955-018-1962-8
Publisher site
See Article on Publisher Site

### Abstract

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

### Journal

Journal of Statistical PhysicsSpringer Journals

Published: Feb 2, 2018

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