Stochastic effects on the isothermal explosion arising in the oxidation of iron (II) by nitric acid

Mauricio, F.; Velasco, S.

doi:10.1007/bf01020651

Cited by 9 publications

(4 citation statements)

References 4 publications

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“…Therefore, because of the discrete nature of the chemical process the fluctuations in the number of particles should be important. 19 Finally let us remark that the qualitative features of the model discussed here are shared by the model of adiabatic thermal explosion in a one-dimensional slab. It is described by two coupled evolution equations of the same type as (5) for temperature and concentration changes.…”

Section: Resultsmentioning

confidence: 81%

Stochastic effects in front propagation: the acetylcholinesterase reaction

Frankowicz¹,

Kawczyński²

1989

J. Phys. Chem.

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so that (kc/k-c) = (fc"/fc_u).Breaking down the cubic step into constituents is done in two main ways. That adopted here (2B -B2; A + B2 -B2 + B)was suggested by Tyson, who ascribes8 the proposal to B. B.Edelstein. These authors comment on the limiting case when [B2] =» A"3[B]2. The alternative writes a sequence of associations-the model for allosteric enzyme catalysis. This speedily produces a multivariable, multiparameter system remote from any general attack save numerical computation.

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Section: Resultsmentioning

confidence: 81%

Stochastic effects in front propagation: the acetylcholinesterase reaction

Frankowicz¹,

Kawczyński²

1989

J. Phys. Chem.

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“…On this purpose we first obtain an equation for the reduced 3P{Y\X)/dt = (<-T)fP(Y\X) + (£/-DgPOVO (7) which allows us to calculate the conditional averages (/|Y> and (gpO and to close eq 6.…”

Section: Stochastic Approachmentioning

confidence: 99%

“…It is clear that the method can be valid only if the fluctuations of the fast variable are not too large. Then we have Wycx)/at = (E;b -IlF(ycx) + (E;d -I ) g W W(7) …”

mentioning

confidence: 99%

Fast variables elimination in stochastic kinetics

Frankowicz¹,

Moreau²,

Szczesny³

et al. 1993

J. Phys. Chem.

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The elimination of fast variables from the master equation of a complex chemical system is studied. Numerical treatments of full chemical schemes are compared with the results given by the master equation of r e d u d chemical schemes, and to a simple approximation of the full master equation based on a quasistationary assumption.It is found that although both methods give correct values of the deterministic concentrations, they do not permit the precise estimation of the variances. It is also shown that the systematic projection technique developed by other authors, when available, yields accurate values for the variance; in case this procedure cannot be used practically, useful bounds can nevertheless be obtained from the simple methods studied here.

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“…15 Autocatalysis is a typical example of such studies. 15,16 A few studies have also addressed isothermal open systems in mass, [17][18][19] and the lattice gas cellular automata has been employed to investigate chemical dynam-ics ͑see, e.g., Ref. 20͒.…”

Section: Introductionmentioning

confidence: 99%

Instabilities in homogeneous nonisothermal reactors: Comparison of deterministic and Monte Carlo simulations

Vlachos

1995

The Journal of Chemical Physics

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Stochastic effects on the isothermal explosion arising in the oxidation of iron (II) by nitric acid

Cited by 9 publications

References 4 publications

Stochastic effects in front propagation: the acetylcholinesterase reaction

Stochastic effects in front propagation: the acetylcholinesterase reaction

Fast variables elimination in stochastic kinetics

Instabilities in homogeneous nonisothermal reactors: Comparison of deterministic and Monte Carlo simulations

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