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PreprintarXiv licencearXiv

Information-Theoretic Characterization of Macroscopic Chaos Emerging from the Chemical Master Equation

  • Kenshin Matsumoto
  • Shin-ichi Sasa
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Abstract

Open chemical reaction networks exhibit stochastic concentration dynamics at finite system sizes, whereas their macroscopic limit is governed by deterministic rate equations that can display chaos. In this Letter, we show theoretically that a rate of information loss constructed from two-time mutual information recovers the Kolmogorov-Sinai entropy in the deterministic limit. We verify this result through numerical simulations of a Markov jump process for a three-species system involving seven reactions.

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Cite

BibTeXRIS
BibTeX
@misc{matsumoto2026informationtheoretic,
  title = {{Information-Theoretic Characterization of Macroscopic Chaos Emerging from the Chemical Master Equation}},
  author = {Kenshin Matsumoto and Shin-ichi Sasa},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.11340},
  eprint = {2609.11340},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.11340},
}
RIS
TY  - UNPB
TI  - Information-Theoretic Characterization of Macroscopic Chaos Emerging from the Chemical Master Equation
AU  - Kenshin Matsumoto
AU  - Shin-ichi Sasa
PY  - 2026
DA  - 2026/09/10
PB  - arXiv
DO  - 10.48550/arxiv.2609.11340
UR  - https://arxiv.org/abs/2609.11340
AB  - Open chemical reaction networks exhibit stochastic concentration dynamics at finite system sizes, whereas their macroscopic limit is governed by deterministic rate equations that can display chaos. In this Letter, we show theoretically that a rate of information loss constructed from two-time mutual information recovers the Kolmogorov-Sinai entropy in the deterministic limit. We verify this result through numerical simulations of a Markov jump process for a three-species system involving seven reactions.
ER  -