Optimal Finite-Time Processes In Stochastic Thermodynamics

Tim Schmiedl and Udo Seifert
Phys. Rev. Lett. 98, 108301 – Published 7 March 2007

Abstract

For a small system like a colloidal particle or a single biomolecule embedded in a heat bath, the optimal protocol of an external control parameter minimizes the mean work required to drive the system from one given equilibrium state to another in a finite time. In general, this optimal protocol obeys an integro-differential equation. Explicit solutions both for a moving laser trap and a time-dependent strength of such a trap show finite jumps of the optimal protocol to be typical both at the beginning and at the end of the process.

  • Figure
  • Received 21 November 2006

DOI:https://doi.org/10.1103/PhysRevLett.98.108301

©2007 American Physical Society

Authors & Affiliations

Tim Schmiedl and Udo Seifert

  • II. Institut für Theoretische Physik, Universität Stuttgart, 70550 Stuttgart, Germany

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Issue

Vol. 98, Iss. 10 — 9 March 2007

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