Fractal dimension of reaction-diffusion wave fronts

被引：9

作者：

Lemarchand, A ^{[1
]}

Nainville, I ^{[1
]}

Mareschal, M ^{[1
]}

机构：

[1] FREE UNIV BRUSSELS,SERV CHIM PHYS,B-1050 BRUSSELS,BELGIUM

来源：

EUROPHYSICS LETTERS | 1996年 / 36卷 / 03期

关键词：

D O I：

10.1209/epl/i1996-00209-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Determining the fractal dimension associated with the percolating interface of chemical wave fronts, we show that two different types of reaction-diffusion fronts, propagating either into a stable or an unstable stationary state, belong to the same universality class as pure diffusion fronts. The results are deduced from microscopic simulations and stochastic partial differential equations.

引用

页码：227 / 231

页数：5

共 39 条

[1]

[Anonymous], 1937, B MOSCOW U MATH MECH, DOI DOI 10.1007/978-94-011-3030-1_38

[2] MULTIDIMENSIONAL NON-LINEAR DIFFUSION ARISING IN POPULATION-GENETICS [J].

ARONSON, DG ;

WEINBERGER, HF .

ADVANCES IN MATHEMATICS, 1978, 30 (01) :33-76

[3]

BARAS F, 1992, PHYSICA A, V188

[4] FLUCTUATION EFFECTS ON WAVE-PROPAGATION IN A REACTION-DIFFUSION PROCESS [J].

BREUER, HP ;

HUBER, W ;

PETRUCCIONE, F .

PHYSICA D-NONLINEAR PHENOMENA, 1994, 73 (03) :259-273

[5] THE MACROSCOPIC LIMIT IN A STOCHASTIC REACTION-DIFFUSION PROCESS [J].

BREUER, HP ;

HUBER, W ;

PETRUCCIONE, F .

EUROPHYSICS LETTERS, 1995, 30 (02) :69-74

[6] ON SCALING RELATIONS IN GROWTH-MODELS FOR PERCOLATING CLUSTERS AND DIFFUSION FRONTS [J].

BUNDE, A ;

GOUYET, JF .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (06) :L285-L287

[7] TRANSITION IN THE RELAXATION DYNAMICS OF A REVERSIBLE DIFFUSION-LIMITED REACTION [J].

BURSCHKA, MA ;

DOERING, CR ;

BENAVRAHAM, D .

PHYSICAL REVIEW LETTERS, 1989, 63 (07) :700-703

[8] PROPERTIES OF THE REACTION FRONT IN A REVERSIBLE A+B-HALF-ARROW-RIGHT-OVER-HALF-ARROW-LEFT-C(G)(K) REACTION-DIFFUSION PROCESS [J].

CHOPARD, B ;

DROZ, M ;

KARAPIPERIS, T ;

RACZ, Z .

PHYSICAL REVIEW E, 1993, 47 (01) :R40-R43

[9] MICROSCOPIC STUDY OF THE PROPERTIES OF THE REACTION FRONT IN AN A+B-]C REACTION-DIFFUSION PROCESS [J].

CHOPARD, B ;

DROZ, M .

EUROPHYSICS LETTERS, 1991, 15 (04) :459-465

[10] ROLE OF FLUCTUATIONS FOR INHOMOGENEOUS REACTION-DIFFUSION PHENOMENA [J].

CORNELL, S ;

DROZ, M ;

CHOPARD, B .

PHYSICAL REVIEW A, 1991, 44 (08) :4826-4832

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