Spiral flow wave in a reaction-diffusion-convection system

被引:0
|
作者
Sakurai, T [1 ]
Miike, H
Okada, K
Müller, SC
机构
[1] Ube Natl Coll Technol, Dept Elect Engn, Ube, Yamaguchi 7558555, Japan
[2] Yamaguchi Univ, Grad Sch Sci & Engn, Ube, Yamaguchi 7558611, Japan
[3] Otto Von Guericke Univ, Inst Phys Expt, D-39016 Magdeburg, Germany
关键词
Belousov-Zhabotinsky reaction; reaction-diffusion-convection system; Marangoni effect; oscillatory flow;
D O I
10.1143/JPSJ.72.2177
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The excitable Belousov-Zhabotinsky (BZ) reaction coupled with diffusion can exhibit a large variety of spatial patterns. In this letter, we report on superimposed spiral structures, providing evidence of a hierarchical self-organized order that connects two complex phenomena involving the coupling of a reaction-diffusion pattern with convection. A macroscopic propagating spiral flow wave (wavelength about 50 mm) is induced spontaneously by the preexcited reaction-diffusion structure of chemical spiral waves (wavelength about 1 mm). The pattern dynamics links two different hierarchical levels of structure formation in a nonlinear system.
引用
收藏
页码:2177 / 2180
页数:4
相关论文
共 50 条
  • [1] Numerical analysis of a reaction-diffusion-convection system
    Alhumaizi, K
    Henda, R
    Soliman, M
    COMPUTERS & CHEMICAL ENGINEERING, 2003, 27 (04) : 579 - 594
  • [2] Segmented waves in a reaction-diffusion-convection system
    Rossi, Federico
    Budroni, Marcello A.
    Marchettini, Nadia
    Carballido-Landeira, Jorge
    CHAOS, 2012, 22 (03)
  • [3] Competition between transport phenomena in a reaction-diffusion-convection system
    Ciotti, L.
    Budroni, M. A.
    Masia, M.
    Marchettini, N.
    Rustici, M.
    CHEMICAL PHYSICS LETTERS, 2011, 512 (4-6) : 290 - 296
  • [4] Reaction-diffusion-convection problems in unbounded cylinders
    Texier-Picard, R
    Volpert, V
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2001, 333 (12): : 1077 - 1082
  • [5] NUCLEATION STRUCTURES IN REACTION-DIFFUSION-CONVECTION SYSTEMS
    ZANETTE, DH
    PHYSICAL REVIEW E, 1995, 52 (02): : 1726 - 1733
  • [6] Ruelle-Takens-Newhouse scenario in reaction-diffusion-convection system
    Budroni, Marcello Antonio
    Masia, Marco
    Rustici, Mauro
    Marchettini, Nadia
    Volpert, Vitaly
    Cresto, Pier Carlo
    JOURNAL OF CHEMICAL PHYSICS, 2008, 128 (11):
  • [7] STABILITY OF REACTION-DIFFUSION-CONVECTION SYSTEMS - THE CASE OF LINEAR SHEAR-FLOW
    DOERING, CR
    HORSTHEMKE, W
    PHYSICS LETTERS A, 1993, 182 (2-3) : 227 - 231
  • [8] The speed of reaction-diffusion-convection wavefronts in nonuniform media
    Rocha, E. M.
    Rodrigues, M. M.
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, 2007, 936 : 666 - +
  • [9] On solutions to nonlinear reaction-diffusion-convection equations with degenerate diffusion
    Lu, YG
    Jäger, W
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 170 (01) : 1 - 21
  • [10] A new estimate of the minimal wave speed for travelling fronts in reaction-diffusion-convection equations
    Marcelli, Cristina
    Papalini, Francesca
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2018, (10) : 1 - 13