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11 - Reactions

Published online by Cambridge University Press:  14 July 2022

Pierre Gaspard
Affiliation:
Université Libre de Bruxelles
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Summary

At the mesoscale, reaction networks are described in terms of stochastic processes. In well-stirred solutions, the time evolution is ruled by the chemical master equation for the probability distribution of the random numbers of molecules. The entropy production is obtained for these reactive processes in the framework of stochastic thermodynamics. The entropy production can be decomposed using the Hill–Schnakenberg cycle decomposition in terms of the affinities and the reaction rates of the stoichiometric cycles of the reaction network. The multivariate fluctuation relation is established for the reactive currents. The results are applied to several examples of reaction networks, in particular, describing autocatalytic bistability, noisy chemical clocks, enzymatic kinetics, and copolymerization processes.

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Publisher: Cambridge University Press
Print publication year: 2022

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  • Reactions
  • Pierre Gaspard, Université Libre de Bruxelles
  • Book: The Statistical Mechanics of Irreversible Phenomena
  • Online publication: 14 July 2022
  • Chapter DOI: https://doi.org/10.1017/9781108563055.012
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  • Reactions
  • Pierre Gaspard, Université Libre de Bruxelles
  • Book: The Statistical Mechanics of Irreversible Phenomena
  • Online publication: 14 July 2022
  • Chapter DOI: https://doi.org/10.1017/9781108563055.012
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Reactions
  • Pierre Gaspard, Université Libre de Bruxelles
  • Book: The Statistical Mechanics of Irreversible Phenomena
  • Online publication: 14 July 2022
  • Chapter DOI: https://doi.org/10.1017/9781108563055.012
Available formats
×