Wave front depinning transition in discrete one-dimensional reaction-diffusion systems

被引:36
作者
Carpio, A [1 ]
Bonilla, LL
机构
[1] Univ Complutense Madrid, Dept Matemat Aplicada, E-28040 Madrid, Spain
[2] Univ Carlos III Madrid, Escuela Politecn Super, Dept Matemat, Leganes 28911, Spain
关键词
D O I
10.1103/PhysRevLett.86.6034
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Pinning and depinning of wave fronts are ubiquitous features of spatially discrete systems describing a host of phenomena in physics, biology, etc. A large class of discrete systems is described by overdamped chains of nonlinear oscillators with nearest-neighbor coupling and controlled by constant external forces. A theory of the depinning transition for these systems, including scaling laws and asymptotics of wave fronts, is presented and confirmed by numerical calculations.
引用
收藏
页码:6034 / 6037
页数:4
相关论文
共 28 条
[2]   DYNAMICS OF ELECTRIC-FIELD DOMAINS AND OSCILLATIONS OF THE PHOTOCURRENT IN A SIMPLE SUPERLATTICE MODEL [J].
BONILLA, LL ;
GALAN, J ;
CUESTA, JA ;
MARTINEZ, FC ;
MOLERA, JM .
PHYSICAL REVIEW B, 1994, 50 (12) :8644-8657
[3]   Microscopic derivation of transport coefficients and boundary conditions in discrete drift-diffusion models of weakly coupled superlattices [J].
Bonilla, LL ;
Platero, G ;
Sánchez, D .
PHYSICAL REVIEW B, 2000, 62 (04) :2786-2796
[4]   Calcium waves in a model with a random spatially discrete distribution of Ca2+ release sites [J].
Bugrim, AE ;
Zhabotinsky, AM ;
Epstein, IR .
BIOPHYSICAL JOURNAL, 1997, 73 (06) :2897-2906
[5]   Wave solutions for a discrete reaction-diffusion equation [J].
Carpio, A ;
Chapman, SJ ;
Hastings, S ;
McLeod, JB .
EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2000, 11 :399-412
[6]   Wave fronts may move upstream in semiconductor superlattices [J].
Carpio, A ;
Bonilla, LL ;
Wacker, A ;
Schöll, E .
PHYSICAL REVIEW E, 2000, 61 (05) :4866-4876
[7]  
Carpio A., UNPUB
[8]  
CARPIO A, IN PRESS PHYS REV E
[9]  
CHAIKIN PM, 1995, PRINCIPLES CONDENSED, pCH10
[10]  
Filip AM, 1999, COMMUN PUR APPL MATH, V52, P693, DOI 10.1002/(SICI)1097-0312(199906)52:6<693::AID-CPA2>3.3.CO