Energy transduction of isothermal ratchets: Generic aspects and specific examples close to and far from equilibrium

Andrea Parmeggiani, Frank Jülicher, Armand Ajdari, and Jacques Prost
Phys. Rev. E 60, 2127 – Published 1 August 1999
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Abstract

We study the energetics of isothermal ratchets which are driven by a chemical reaction between two states, and operate in contact with a single heat bath of constant temperature. We discuss generic aspects of energy transduction such as Onsager relations in the linear response regime as well as the efficiency and dissipation close to and far from equilibrium. In the linear response regime where the system operates reversibly, the efficiency is in general nonzero. Studying the properties for specific examples of energy landscapes and transitions, we observe in the linear response regime that the efficiency can have a maximum as a function of temperature. Far from equilibrium in the fully irreversible regime, we find a maximum of the efficiency with values larger than in the linear regime for an optimal choice of the chemical driving force. We show that the corresponding efficiencies can be of the order of 50%. A simple analytic argument allows us to estimate the efficiency in this irreversible regime for small external forces.

  • Received 19 March 1999

DOI:https://doi.org/10.1103/PhysRevE.60.2127

©1999 American Physical Society

Authors & Affiliations

Andrea Parmeggiani, Frank Jülicher, Armand Ajdari, and Jacques Prost

  • Institut Curie, Physico-Chimie Curie, UMR CNRS/IC 168, 26 rue d’Ulm, 75248 Paris Cedex 05, France
  • Laboratoire de Physico Chimie Théorique, Esa CNRS 7083, ESPCI, 10 rue Vauquelin, 75231 Paris Cedex 05, France

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Vol. 60, Iss. 2 — August 1999

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