journal article·2011-12-01Open access

Reversible Oregonator model revisited: Thermodynamic validity

Arun K. Dutt

AIP Advances· Volume 1· Issue 4

Abstract

We have investigated the features of thermodynamic equilibrium state of the reversible Oregonator (RO) model with close system approximation for a plausible stoichiometry, in which there is no overall change in the concentrations of the intermediates. For Field-Försterling (ff) parameters, this model with close system approximation attains the state of thermodynamic equilibrium at equilibrium concentration of its final product in the order of 104 mol l-1, which is obviously unrealistic in a laboratory experiment. From numerical experiment, we report that if the equilibrium constant of the fifth step (K5) is assigned a value less than 1.0 (which is opposite to that proposed by Field), the RO model under open system approximation could execute oscillations, as well as under close system approximation could evolve to a thermodynamic equilibrium state with reasonably low and realistic equilibrium concentration of its final product for the overall reaction considered here. To accommodate the findings of this numerical work for the RO kinetic steps with K5 <1, we have found it necessary to revise the 2-variable diffusion-reaction model of Tyson.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Nonlinear Dynamics and Pattern Formation · Advanced Thermodynamics and Statistical Mechanics · Spectroscopy and Quantum Chemical Studies

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

University of the West of England (Frenchay Campus) Faculty of Computing, Engineering and Mathematical Sciences (Du Pont Building), , Bristol BS16 1QY, United Kingdom

References (35)

Show source-provided references
1. J. Am. Chem.Soc. · 1972 · 94 · 864910.1021/ja00780a001 ↗
2. J. Am. Chem. Soc. · 1971 · 93 · 731510.1021/ja00755a033 ↗
3. J. Am. Chem. Soc. · 1980 · 102 · 464410.1021/ja00534a013 ↗
4. In Oscillations and Travelling Waves
5. In Oscillations and Travelling Waves
6. J. Am. Chem. Soc. · 1985 · 107 · 231410.1021/ja00294a019 ↗
7. Z. Phys. Chem. Neue Folge · 1984 · 141 · 6510.1524/zpch.1984.141.1.065 ↗
8. Int. J. Chem. Kinet. · 1979 · 11 · 15510.1002/kin.550110207 ↗
9. J. Phys. Chem. · 1979 · 83 · 294410.1021/j100486a003 ↗
10. J. Phys. Chem. · 1984 · 88 · 284410.1021/j150657a035 ↗
11. J. Phys. Chem. · 1985 · 89 · 370710.1021/j100263a026 ↗
12. J. Am. Chem. Soc. · 1979 · 101 · 106310.1021/ja00499a001 ↗
13. Physica D · 1986 · 21 · 30710.1016/0167-2789(86)90007-2 ↗
14. J. Phys. Chem. · 1985 · 89 · 202210.1021/j100256a045 ↗
15. Ann. NewYork Acad. Sci. · 1979 · 316 · 27910.1111/j.1749-6632.1979.tb29475.x ↗
16. J. Phys. Chem. · 1982 · 86 · 300610.1021/j100212a039 ↗
17. J. Phys. Chem. · 1983 · 87 · 51010.1021/j100226a027 ↗
18. J. Phys. Chem. · 1986 · 90 · 110.1021/j100273a001 ↗
19. J. Phys. Chem. · 1986 · 90 · 149610.1021/j100399a005 ↗
20. J. Phys. Chem. · 1986 · 90 · 540010.1021/j100412a101 ↗
21. J. Phys. Chem. · 1986 · 90 · 540710.1021/j100412a102 ↗
22. J. Chem. Phys. · 1974 · 60 · 187710.1063/1.1681288 ↗
23. J. Chem. Phys. · 1975 · 63 · 228910.1063/1.431679 ↗
24. Chem. Phys. · 1992 · 152 · 26510.1016/0301-0104(92)85004-E ↗
25. 1961
26. Arch. Rat. Mech. Anal. · 1976 · 60 · 37110.1007/BF00248886 ↗
27. J. Math. Biol. · 1978 · 5 · 16910.1007/BF00275897 ↗
28. J. Chem. Phys. · 1990 · 93 · 792910.1063/1.459322 ↗
29. Chem. Phys. Letts. · 1993 · 208 · 13910.1016/0009-2614(93)80091-3 ↗
30. J. Chem. Phy. · 1978 · 69 · 251410.1063/1.436894 ↗
31. J. Phys. Chem. · 1993 · 97 · 193110.1021/j100111a035 ↗
32. J. Phys. Chem. · 1990 · 94 · 486710.1021/j100375a022 ↗
33. J. Chem. Phys. · 1980 · 73 · 222410.1063/1.440418 ↗
34. Physica D · 1986 · 21 · 30710.1016/0167-2789(86)90007-2 ↗
35. 1995