Cadenas de Markov para seguimiento de reacciones quı́micas

Authors

  • Ana Lisette Flores Robles Universidad Autonoma del Estado de Hidalgo
  • Liliana Peralta Hernández Universidad Nacional Autónoma de México
  • Victor Manuel Trejos Montoya Universidad Autónoma del Estado de Hidalgo

DOI:

https://doi.org/10.31349/RevMexFisE.20.020210

Keywords:

chemical reactions, Markov chain

Abstract

Chemical kinetics studies chemical reactions and their mechanisms. These kind of mechanisms are understood as a sequence of elementary steps to carry out the chemical reaction. In the present work, a Markov chain model is applied to the modeling of chemical reactions such as 1st- and 2nd-order reactions, competitive-parallel reactions, consecutive or serial reactions, and competitive-consecutive reactions. Additionally, a comparison of the Markov chain model with analytical and numerical solutions is included. In all cases, a good agreement is observed between the results.

La  cinética quı́mica estudia las reacciones quı́micas y sus mecanismos de reacción. Estos mecanismos se entienden como una secuencia de pasos elementales  para llevar a cabo la reacción química. En el presente trabajo se utiliza un modelo de cadenas de Markov aplicado al modelado de reacciones quı́micas tales como: reacciones de primer y segundo orden, reacciones competitivas-paralelas, reacciones consecutivas o en serie y reacciones competitivas-consecutivas. Adicionalmente, se incluye una comparación de las soluciones analı́ticas y numéricas de cada una de las reacciones de interés. En todos los casos se observa una buena concordancia entre los resultados empleando cadenas de Markov, la solución numérica y la solución analı́tica.

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Published

2023-06-28

How to Cite

[1]
A. L. Flores Robles, L. . Peralta Hernández, and V. M. . Trejos Montoya, “Cadenas de Markov para seguimiento de reacciones quı́micas”, Rev. Mex. Fis. E, vol. 20, no. 2 Jul-Dec, pp. 020210 1–, Jun. 2023.