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

来源：

PHYSICAL REVIEW LETTERS | 1997年 / 78卷 / 06期

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

[1] EUCLIDEAN SYMMETRY AND THE DYNAMICS OF ROTATING SPIRAL WAVES [J].

BARKLEY, D .

PHYSICAL REVIEW LETTERS, 1994, 72 (01) :164-167

[2] MEASUREMENT OF THE TRANSITION FROM UNIDIRECTIONAL TO BIDIRECTIONAL FRONT PROPAGATION INA REACTION-DIFFUSION SYSTEM [J].

BODE, M ;

REUTER, A ;

SCHMELING, R ;

PURWINS, HG .

PHYSICS LETTERS A, 1994, 185 (01) :70-76

[3] Exact solutions for the kinematic model of autowaves in two-dimensional excitable media [J].

Brazhnik, PK .

PHYSICA D, 1996, 94 (04) :205-220

[4] BREAKING CHIRALITY IN NONEQUILIBRIUM SYSTEMS [J].

COULLET, P ;

LEGA, J ;

HOUCHMANDZADEH, B ;

LAJZEROWICZ, J .

PHYSICAL REVIEW LETTERS, 1990, 65 (11) :1352-1355

[5] DYNAMIC FRONT TRANSITIONS AND SPIRAL-VORTEX NUCLEATION [J].

ELPHICK, C ;

HAGBERG, A ;

MERON, E .

PHYSICAL REVIEW E, 1995, 51 (04) :3052-3058

[6]

Fife P. C., 1979, LECT NOTES BIOMATHEM, V28

[7] SPIRAL WAVES IN LIQUID-CRYSTAL [J].

FRISCH, T ;

RICA, S ;

COULLET, P ;

GILLI, JM .

PHYSICAL REVIEW LETTERS, 1994, 72 (10) :1471-1474

[8] Interface proliferation and the growth of labyrinths in a reaction-diffusion system [J].

Goldstein, RE ;

Muraki, DJ ;

Petrich, DM .

PHYSICAL REVIEW E, 1996, 53 (04) :3933-3957

[9] OBSERVATION OF FRONT BIFURCATIONS IN CONTROLLED GEOMETRIES - FROM ONE TO 2 DIMENSIONS [J].

HAAS, G ;

BAR, M ;

KEVREKIDIS, IG ;

RASMUSSEN, PB ;

ROTERMUND, HH ;

ERTL, G .

PHYSICAL REVIEW LETTERS, 1995, 75 (19) :3560-3563

[10] PATTERN-FORMATION IN NONGRADIENT REACTION-DIFFUSION SYSTEMS - THE EFFECTS OF FRONT BIFURCATIONS [J].

HAGBERG, A ;

MERON, E .

NONLINEARITY, 1994, 7 (03) :805-835