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12 - Active Processes

Published online by Cambridge University Press:  14 July 2022

Pierre Gaspard
Affiliation:
Université Libre de Bruxelles
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Summary

Active nonequilibrium processes are characterized by the coupling of an ionic current or a mechanical motion to a chemical reaction. This coupling induces energy transduction, satisfying Onsager reciprocal relations in the linear regime close to equilibrium and the bivariate fluctuation relation in regimes farther away from equilibrium. These considerations concern, in particular, molecular motors as well as active colloidal particles that are self-propelled by chemical reactions catalyzed at their surface and diffusiophoresis. These active processes can be described by stochastic processes obeying bivariate fluctuation relations for the coupled currents. The mechanochemical coupling can be characterized in terms of the linear and nonlinear response coefficients, as well as the efficiencies defined in the different regimes of energy transduction, i.e., propulsion by the chemical reaction on the one hand, and the synthesis of fuel from products on the other hand.

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Publisher: Cambridge University Press
Print publication year: 2022

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  • Active Processes
  • Pierre Gaspard, Université Libre de Bruxelles
  • Book: The Statistical Mechanics of Irreversible Phenomena
  • Online publication: 14 July 2022
  • Chapter DOI: https://doi.org/10.1017/9781108563055.013
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  • Active Processes
  • Pierre Gaspard, Université Libre de Bruxelles
  • Book: The Statistical Mechanics of Irreversible Phenomena
  • Online publication: 14 July 2022
  • Chapter DOI: https://doi.org/10.1017/9781108563055.013
Available formats
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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.

  • Active Processes
  • Pierre Gaspard, Université Libre de Bruxelles
  • Book: The Statistical Mechanics of Irreversible Phenomena
  • Online publication: 14 July 2022
  • Chapter DOI: https://doi.org/10.1017/9781108563055.013
Available formats
×