Numerical studies on boundary effects on the FPU paradox

被引：4

作者：

Bambusi, D. ^{[1
]}

Muraro, D. ^{[1
]}

Penati, T. ^{[1
]}

机构：

[1] Univ Milan, Dipartmento Matemat F Enriques, I-20133 Milan, Italy

来源：

PHYSICS LETTERS A | 2008年 / 372卷 / 12期

关键词：

FPU model; metastability; boundary effects;

D O I：

10.1016/j.physleta.2007.11.011

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study numerically the dynamics of a chain of particles subjected to an on site restoring nonlinear force and a first neighbor harmonic coupling. We excite the first linear mode and investigate the distribution of the average harmonic energies at metastable regime, in the spirit of Fermi Pasta Ulam experiment. The limit distribution turns out to strongly depend on the boundary conditions. A theoretical discussion of the phenomenon is also given. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：2039 / 2042

页数：4

共 9 条

[1] On metastability in FPU [J].

Bambusi, D ;

Ponno, A .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2006, 264 (02) :539-561

[2] Birkhoff normal form for some nonlinear PDEs [J].

Bambusi, D .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2003, 234 (02) :253-285

[3]

BAMBUSI D, UNPUB BOUNDARY EFFEC

[4] Time scale for energy equipartition in a two-dimensional FPU model [J].

Benettin, G .

CHAOS, 2005, 15 (01)

[5]

BENETTIN G, 2007, STUDY FERMI PASTA UL

[6]

Berchialla L, 2004, DISCRETE CONT DYN-A, V11, P855

[7]

CARATI A, COMMUNICATION

[8]

FERMI E, 1955, LA1940, V2, P1939

[9] Tail resonances of Fermi-Pasta-Ulam q-breathers and their impact on the pathway to equipartition [J].

Penati, Tiziano ;

Flach, Sergej .

CHAOS, 2007, 17 (02)

← 1 →