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Poissonian stationary distribution: A degenerate case of stochastic kinetics

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Abstract

There is practically no chemical reaction with independent reaction rates having Poissonian stationary (equilibrium) distribution. There exists, hovewer, a manifold of reactions with dependent reaction rates and with Poissonian stationary distribution. In this case the explicit form of the interdependence between the reaction rates is also given.

Abstract

На практике не существуют химические реакции с независимыми скоростями, имеющими пуассоновское стационарное (равновесное) распределение. Однако существует совокупность реакций, скорости которых имеют пуассоновское распределение и являются взаимно зависимыми. Для этого случая дается также явная форма взаимной зависимости скоростей реакций.

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Authors and Affiliations

  1. Computing Group, Semmelweis University of Medicine, Kulich Gy. tér 5, H-1089, Budapest

    J. Tóth & T. L. Török

  2. Central Research Institute for Physics, H-1525, Budapest

    J. Tóth & T. L. Török

Authors
  1. J. Tóth
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  2. T. L. Török
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Tóth, J., Török, T.L. Poissonian stationary distribution: A degenerate case of stochastic kinetics. React Kinet Catal Lett 13, 167–171 (1980). https://doi.org/10.1007/BF02074190

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  • DOI: https://doi.org/10.1007/BF02074190

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