The dynamics of curved fronts: Beyond geometry

被引:45
作者
Hagberg, A
Meron, E
机构
[1] BEN GURION UNIV NEGEV,JACOB BLAUSTEIN INST DESERT RES,IL-84990 SEDE BOQER,ISRAEL
[2] BEN GURION UNIV NEGEV,DEPT PHYS,IL-84990 SEDE BOQER,ISRAEL
关键词
D O I
10.1103/PhysRevLett.78.1166
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We derive a new set of kinematic equations for front motion in two-dimensional bistable media The equations generalize the geometric approach by complementing the equation for the front curvature with an order parameter equation associated with a nonequilibrium Ising-Bloch bifurcation. The resulting equations capture the core structure of spiral waves and spontaneous spiral-wave nucleation.
引用
收藏
页码:1166 / 1169
页数:4
相关论文
共 25 条
[11]   FROM LABYRINTHINE PATTERNS TO SPIRAL TURBULENCE [J].
HAGBERG, A ;
MERON, E .
PHYSICAL REVIEW LETTERS, 1994, 72 (15) :2494-2497
[12]   Controlling domain patterns far from equilibrium [J].
Hagberg, A ;
Meron, E ;
Rubinstein, I ;
Zaltzman, B .
PHYSICAL REVIEW LETTERS, 1996, 76 (03) :427-430
[13]   Complex patterns in reaction-diffusion systems: A tale of two front instabilities [J].
Hagberg, Aric ;
Meron, Ehud .
CHAOS, 1994, 4 (03) :477-484
[14]   Breathing spots in a reaction-diffusion system [J].
Haim, D ;
Li, G ;
Ouyang, Q ;
McCormick, WD ;
Swinney, HL ;
Hagberg, A ;
Meron, E .
PHYSICAL REVIEW LETTERS, 1996, 77 (01) :190-193
[15]   GLOBAL BIFURCATION PHENOMENA OF TRAVELING WAVE SOLUTIONS FOR SOME BISTABLE REACTION DIFFUSION-SYSTEMS [J].
IKEDA, H ;
MIMURA, M ;
NISHIURA, Y .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1989, 13 (05) :507-526
[16]   WAVES IN EXCITABLE MEDIA [J].
KEENER, JP .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1980, 39 (03) :528-548
[17]   LAMELLAR STRUCTURES AND SELF-REPLICATING SPOTS IN A REACTION-DIFFUSION SYSTEM [J].
LEE, KJ ;
SWINNEY, HL .
PHYSICAL REVIEW E, 1995, 51 (03) :1899-1915
[18]   EXPERIMENTAL-OBSERVATION OF SELF-REPLICATING SPOTS IN A REACTION-DIFFUSION SYSTEM [J].
LEE, KJ ;
MCCORMICK, WD ;
PEARSON, JE ;
SWINNEY, HL .
NATURE, 1994, 369 (6477) :215-218
[19]   MODEL FOR SPIRAL WAVE FORMATION IN EXCITABLE MEDIA [J].
MERON, E ;
PELCE, P .
PHYSICAL REVIEW LETTERS, 1988, 60 (18) :1880-1883
[20]   PATTERN-FORMATION IN EXCITABLE MEDIA [J].
MERON, E .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1992, 218 (01) :1-66