Spatially inhomogeneous time-periodic propagating waves in anharmonic systems

被引：50

作者：

Cretegny, T ^{[1
]}

Aubry, S ^{[1
]}

机构：

[1] CENS, LAB LEON BRILLOUIN, CNRS, F-91191 GIF SUR YVETTE, FRANCE

来源：

PHYSICAL REVIEW B | 1997年 / 55卷 / 18期

关键词：

D O I：

10.1103/PhysRevB.55.R11929

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Strongly anharmonic and translationally invariant systems in arbitrary dimensions, exhibit a class of time periodic and stable solutions carrying an energy flow as well as the standard plane waves which an special cases. In general, the spatial distribution of these energy flows is very inhomogeneous and form arbitrarily complex networks of channels and vortices. These solutions are constructed from arbitrary, finite, or infinite clusters of breathers (multibreathers) with twisted phases. Examples of these solutions are numerically calculated in several one and two-dimensional nonlinear models.

引用

页码：11929 / 11932

页数：4

共 8 条

[1]

[Anonymous], 1986, NUMERICAL RECIPES C

[2] Breathers in nonlinear lattices: Existence, linear stability and quantization [J].

Aubry, S .

PHYSICA D-NONLINEAR PHENOMENA, 1997, 103 (1-4) :201-250

[3]

CAMPBELL DK, 1990, CHAOS SOVIET AM PERS

[4] Breather mobility in discrete phi(4) nonlinear lattices [J].

Chen, D ;

Aubry, S ;

Tsironis, GP .

PHYSICAL REVIEW LETTERS, 1996, 77 (23) :4776-4779

[5]

FLACH S, IN PRESS PHYS REP

[6] PROOF OF EXISTENCE OF BREATHERS FOR TIME-REVERSIBLE OR HAMILTONIAN NETWORKS OF WEAKLY COUPLED OSCILLATORS [J].

MACKAY, RS ;

AUBRY, S .

NONLINEARITY, 1994, 7 (06) :1623-1643

[7] Breathers in nonlinear lattices: Numerical calculation from the anticontinuous limit [J].

Marín, JL ;

Aubry, S .

NONLINEARITY, 1996, 9 (06) :1501-1528

[8] INTRINSIC LOCALIZED MODES IN ANHARMONIC CRYSTALS [J].

SIEVERS, AJ ;

TAKENO, S .

PHYSICAL REVIEW LETTERS, 1988, 61 (08) :970-973

← 1 →