Reaction-diffusion fronts

Florvath D and Showalter K 1995 Instabilities in propagating reaction-diffusion fronts of the iodate-arsenous acid reaction J. Chem. Rhys. 102 2471-8... 

K. Tucci and R. Kapral, Mesoscopic multiparticle collision dynamics of reaction-diffusion fronts, J. Phys. Chem. B 109, 21300 (2005). 

Gray, P., Showalter, K., and Scott, S. K. (1987). Propagating reaction-diffusion fronts with cubic autocatalysis the effects of reversibility. J. Chim. Phys., 84, 1329-33. 

Saul, A. and Showalter, K. (1985). Propagating reaction-diffusion fronts. In Oscillations and traveling waves in chemical systems, (ed. R. J. Field and M. Burger), ch. 11, pp. 419-39. Wiley, New York. 

Example 9.15 Long-term asymptotic solution of reversible reaction diffusion systems The formation of dynamic reaction-diffusion fronts occurs when two species A and B are uniformly distributed on opposite sides of an impenetrable barrier, which is removed at time t 0 at isothermal conditions. The species A and B start to diffuse and react upon mixing, and produce species C. This creates a dynamic reaction front, and the spatio-temporal evolution of this front may exhibit some unique features, which may be valuable in understanding many phenomena in physical, chemical, biological, and geological systems. The long-term behavior of this reversible reaction-diffusion system was studied by Koza (2003). 

Based on similar arguments as for the autocatalytic case the width of a filament of the C = 1 state flanked by sharp fronts can be obtained from the balance between the strain A and the propagation speed of the bistable reaction-diffusion front wp ss v/X. By using the expression (4.27), v = (1 — 2a) kD/2, we find for the stable filament solution... 

Scott S K and Showalter K 1992 Simple and complex propagating reaction-diffusion fronts J. Phys. Chem. 96 8702-11... 

We have restricted our discussion in this section to bistability in well-stirred, homogeneous systems. Multiple steady states may also occur in unstirred systems, where domains of the system in one steady state coexist with domains in the other steady state. In addition to the obvious application to nondhemical systems, chemical systems (in fact the iodate-arsenite system considered here) sometimes exhibit domains that are connected by propagating reaction-diffusion fronts. We will return to this system in our discussion of chemical waves, which will include a description of these fronts. 

Chemical Waves Propagating Reaction-Diffusion Fronts... 

F utc 16 Evolution of reaction— diffusion fronts. Reaction is initiated locally by addition of a small amount of die autocatalyst (shown as the small rectangle at the origin). The time intervals between the four outermost curves are equal, and the constant propagation distances show that a constant velocity is exhibited. (Reprinted from Ref. 43 with permission of die American Chemical Society.)... 

Reaction-Diffusion Fronts in General Heterogeneous Media... 

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