DISCRETENESS EFFECTS ON THE FORMATION AND PROPAGATION OF BREATHERS IN NONLINEAR KLEIN-GORDON EQUATIONS

被引:52
作者
DAUXOIS, T [1 ]
PEYRARD, M [1 ]
WILLIS, CR [1 ]
机构
[1] BOSTON UNIV,DEPT PHYS,BOSTON,MA 02215
来源
PHYSICAL REVIEW E | 1993年 / 48卷 / 06期
关键词
D O I
10.1103/PhysRevE.48.4768
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Oscillating localized solutions are studied in the case of a nonlinear Klein-Gordon equation, extending previous results. The discreteness effects are studied on the propagation of the breathers and we show that the Peierls-Nabarro potential is an increasing function of the amplitude of a breather. Showing the possible role of impurities to trap the modes in a finite region and results for the collision phenomenon between such excitations, we exhibit a mechanism to localize energy as large-amplitude breathers in the lattices. Their creation is thus explained by a physically relevant mechanism.
引用
收藏
页码:4768 / 4778
页数:11
相关论文
共 28 条
[1]   SOLITONS AND PROTON MOTION IN ICE-LIKE STRUCTURES [J].
ANTONCHENKO, VY ;
DAVYDOV, AS ;
ZOLOTARIUK, AV .
PHYSICA STATUS SOLIDI B-BASIC RESEARCH, 1983, 115 (02) :631-640
[2]  
BISHOP AR, 1979, SOLITONS CONDENSED M
[3]   DISCRETENESS EFFECTS ON A SINE-GORDON BREATHER [J].
BOESCH, R ;
PEYRARD, M .
PHYSICAL REVIEW B, 1991, 43 (10) :8491-8508
[4]   EXACT DETERMINATION OF THE PEIERLS-NABARRO FREQUENCY [J].
BOESCH, R ;
WILLIS, CR .
PHYSICAL REVIEW B, 1989, 39 (01) :361-368
[5]   SPONTANEOUS EMISSION OF RADIATION FROM A DISCRETE SINE-GORDON KINK [J].
BOESCH, R ;
WILLIS, CR ;
ELBATANOUNY, M .
PHYSICAL REVIEW B, 1989, 40 (04) :2284-2296
[6]   ENERGY-TRANSPORT IN ONE-DIMENSIONAL AND 2-DIMENSIONAL ANHARMONIC LATTICES WITH ISOTOPIC DISORDER [J].
BOURBONNAIS, R ;
MAYNARD, R .
PHYSICAL REVIEW LETTERS, 1990, 64 (12) :1397-1400
[7]   NONLINEAR DYNAMICS OF THE FRENKEL-KONTOROVA MODEL WITH IMPURITIES [J].
BRAUN, OM ;
KIVSHAR, YS .
PHYSICAL REVIEW B, 1991, 43 (01) :1060-1073
[8]  
CAI D, UNPUB
[9]  
Campbell D. K., 1990, Chaos/Xaoc. Soviet-American Perspectives on Nonlinear Science, P305
[10]   SINGLE-KINK DYNAMICS IN A ONE-DIMENSIONAL ATOMIC CHAIN - A NONLINEAR ATOMISTIC THEORY AND NUMERICAL-SIMULATION [J].
COMBS, JA ;
YIP, S .
PHYSICAL REVIEW B, 1983, 28 (12) :6873-6885