Big Chemical Encyclopedia

Chemical substances, components, reactions, process design ...

Articles Figures Tables About

Model Lengyel-Epstein

Much use has been, and continues to be, made of simplified model schemes representative of general classes of chemical or themial feedback. The oregonator and Lengyel-Epstein models for the BZ and CDIMA systems have been given earlier. Pre-eminent among the more abstracted caricature models is the bnisselator introduced by Prigogine and Lefever [47] which has the following fomi ... [Pg.1113]

The Lengyel-Epstein model is a more realistic chemical reaction scheme. The Lengyel-Epstein model is a two-variable model for the chlorite-iodide-malonic acid (CIMA) reaction scheme and its variant, the chlorine dioxide-iodine-malonic acid (CDIMA) reaction scheme. In the model, the oscillatory behavior is related with ... [Pg.647]

Figure 13.8. Oscillations of concentrations and the limit cycle obtained from the Lengyel-Epstein model with the parameters cr = 2.0, a = 30.0, b= 11.0 > bM, h = 20, which indicates time (a) U, /versus time, the bold line is for V, (b) limit cycle /versus U with the initial conditions of 1/(0) = 0, and V(0) = 0, (c) U, Y versus time, the bold line is for V, (d) limit cycle V versus U with the initial conditions of 1/(0) = 0, and V(0) = 0 with the parameters Figure 13.8. Oscillations of concentrations and the limit cycle obtained from the Lengyel-Epstein model with the parameters cr = 2.0, a = 30.0, b= 11.0 > bM, h = 20, which indicates time (a) U, /versus time, the bold line is for V, (b) limit cycle /versus U with the initial conditions of 1/(0) = 0, and V(0) = 0, (c) U, Y versus time, the bold line is for V, (d) limit cycle V versus U with the initial conditions of 1/(0) = 0, and V(0) = 0 with the parameters <r = 2.0, a 30.0, b 8.0 <bH, h 20.
When a one-dimensional diffusion is considered with the Lengyel-Epstein model, we have... [Pg.649]

The kinetic equations of the two-variable Lengyel-Epstein model become (Horsthemke and Moore, 2004)... [Pg.665]

For the Lengyel-Epstein model. Sect. 1.4.9, the loss rate of the activator is afy =... [Pg.309]

We apply the result, (10.180), to the Oregonator model of the BZ reaction, see Sect. 1.4.8, and the Lengyel-Epstein model of the CDIMA reaction, see Sect. 1.4.9. Turing instabilities have been observed in experimental systems with normal diffusive behavior of the activator and inhibitor for both reactions. Equation (10.180) can... [Pg.321]

Fig. 10.2 Plot of 9 for the Lengyel-Epstein model. The parameters are a = 50.0 and b = 40.0. Reprinted with permission from [485]. Copyright 2008 by the American Physical Society... Fig. 10.2 Plot of 9 for the Lengyel-Epstein model. The parameters are a = 50.0 and b = 40.0. Reprinted with permission from [485]. Copyright 2008 by the American Physical Society...
RD,c> see (10.178). In the following we consider the Lengyel-Epstein model and the Schnakenberg model. Sect. 1.4.5, and the Gray-Scott model. Sect. 1.4.7. We will not display the explicit expression (10.184) for 6 for each model, but rather illustrate... [Pg.324]

Theory of Turing Patterns in the CIMA and CDIMA Reactions Lengyel-Epstein Model... [Pg.349]

The reaction-diffusion equations for the Lengyel-Epstein model,... [Pg.349]

As discussed in Sect. 1.4.9, the CDIMA reaction in a single CSTR is well described by the two-variable Lengyel-Epstein model. The evolution of a homogeneous network of n reactors with Lengyel-Epstein kinetics is governed by the set of ordinary differential equations... [Pg.375]

The effect of illumination on the CDIMA reaction can be taken into account by a modified two-variable Lengyel-Epstein model [98] ... [Pg.412]

If the coupling is via the inhibitor only, = 0, for kinetic schemes with a strucmre similar to the Lengyel-Epstein model, i.e., fiiPu, Pv) = —const/2(Pu> P ) then the instability threshold expressions simplify ... [Pg.416]

See other pages where Model Lengyel-Epstein is mentioned: [Pg.647]    [Pg.648]    [Pg.648]    [Pg.666]    [Pg.27]    [Pg.43]    [Pg.79]    [Pg.309]    [Pg.323]    [Pg.324]    [Pg.393]    [Pg.434]    [Pg.616]    [Pg.616]    [Pg.617]    [Pg.617]    [Pg.634]    [Pg.85]    [Pg.281]    [Pg.647]    [Pg.648]   
See also in sourсe #XX -- [ Pg.647 ]

See also in sourсe #XX -- [ Pg.29 , Pg.309 , Pg.322 , Pg.324 , Pg.349 , Pg.375 , Pg.393 , Pg.412 , Pg.416 ]

See also in sourсe #XX -- [ Pg.616 , Pg.617 ]



SEARCH



Epstein

Lengyel

Lengyel-Epstein-Rabai model

Theory of Turing Patterns in the CIMA and CDIMA Reactions Lengyel-Epstein Model

© 2024 chempedia.info