Open AccessLateral instabilities of cubic autocatalytic reaction fronts in a constant electric field
Author(s) -
Ágota Tóth,
Dezső Horváth,
Wim van Saarloos
Publication year - 1999
Publication title -
the journal of chemical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.071
H-Index - 357
eISSN - 1089-7690
pISSN - 0021-9606
DOI - 10.1063/1.480459
Subject(s) - electric field , autocatalysis , instability , dispersion relation , ionic bonding , planar , front (military) , constant (computer programming) , field (mathematics) , diffusion , dispersion (optics) , reaction–diffusion system , physics , mechanics , chemistry , condensed matter physics , classical mechanics , thermodynamics , optics , mathematics , kinetics , quantum mechanics , ion , meteorology , computer graphics (images) , computer science , pure mathematics , programming language
The region of instability for planar reaction fronts of cubic autocatalysis between ionic species under constant electric field has been determined accurately. The ratio of diffusion coefficients at the onset of instability δcr is substantially varied by the component-dependent drift and directly proportional to the concentration of the autocatalyst behind the front βs as δcr=2.3002βs. This opens the possibility to use electric field as a control parameter for reaction-front instabilities. The dispersion relation calculated from the linear stability analysis of the full system is in good agreement with the initial evolution of the Fourier modes associated with the slightly perturbed planar reaction front obtained by the direct integration of the governing equations in two spatial dimensions.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom