Optimal finite-time processes in stochastic thermodynamics

Details Optimal finite-time processes in stochastic thermodynamics Optimal finite-time processes in stochastic thermodynamics

2007-01-23

arxiv.org/abs/cond-mat/0701554v1

Phys. Rev. Lett. 98, 108301 (2007)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure, accepted for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.98.108301

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. Explicite 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 the end of the process.

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