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Misha Sinder

Publications and source records attributed to Misha Sinder.

3 recordsLinked to original sources

Competing reactions with initially separated components in the asymptotic time region.

Two competing irreversible reactions with initially separated components and with essentially different reaction constants are theoretically studied in the asymptotic time region. The description of the two simultaneous reactions is reduced to the consideration of two reactions separated in space. It is shown that the reaction rate profile can have two maxima and their ratio is independent of time. The location and relative value of the maxima are functions of the reaction constants and initial concentrations.

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Two reaction zones in a competing reactions system with initially separated components.

The long-time properties of a system with initially separated components and two competing reactions, reversible A1+B<-->C1 and irreversible A2+B-->C2, are studied. It is assumed that the backward constant g(1) of the reversible reaction A1+B<-->C1 is small. The dynamics of the system is described by means of a crossover from an "irreversible" regime (for times t< >g(-1)(1)). It is shown that in contrast to the "irreversible" regime, where both reactions occur in one reaction zone, the "reversible" regime is characterized by two distinctive reaction zones. These are the A1+B<-->C1 reversible reaction zone and the A2+C1-->A1+C2 irreversible reaction zone. Numerical computations of the mean-field kinetic equations confirm these asymptotic results.

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Theory for competing reactions with initially separated components.

The asymptotic long-time properties of a system with initially separated components and two competing irreversible reactions A1+B-->C1 and A2+B-->C2 are studied. It is shown that the system is characterized by a single reaction zone, with width growing like t(1/6), in which both reactions occur. Numerical computations of the mean-field kinetic equations confirm these asymptotic results.

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