Chemical Kinetics, Markov Chains, and the Imaginary Itô Interpretation

Alvaro Correales, Carlos Escudero*, Mariya Ptashnyk

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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Abstract

The abstract chemical reaction
A+A→∅,
understood as a Markov chain in continuous time, has been studied in the physical literature for several years. It has been claimed that this reaction can be described by means of the stochastic differential equation
dϕ=−ϕ2dt+iϕdWt,
where i is the imaginary unit. This affirmation is, at least, intriguing, and has led to controversy and criticisms in the literature. The goal of this work is to give partial evidence that such a description may be possible.
Original languageEnglish
Pages (from-to)3017-3068
Number of pages52
JournalAdvances in Theoretical and Mathematical Physics
Volume26
Issue number9
DOIs
Publication statusPublished - 30 Oct 2023

Keywords

  • General Mathematics
  • General Physics and Astronomy

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