Abstract
Asking for the optimal protocol of an external control parameter that minimizes the mean work required to drive a nanoscale system from one equilibrium state to another in finite time, Schmiedl and Seifert [ T. Schmiedl and U. Seifert Phys. Rev. Lett. 98 108301 (2007)] found the Euler-Lagrange equation to be a nonlocal integrodifferential equation of correlation functions. For two linear examples, we show how this integrodifferential equation can be solved analytically. For nonlinear physical systems we show how the optimal protocol can be found numerically and demonstrate that there may exist several distinct optimal protocols simultaneously, and we present optimal protocols that have one, two, and three jumps, respectively.
| Translated title of the contribution | Computing the optimal protocol for finite-time processes in stochastic thermodynamics |
|---|---|
| Original language | English |
| Article number | 041105 |
| Number of pages | 8 |
| Journal | Physical Review E: Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 77 |
| Issue number | 4 |
| Early online date | 4 Apr 2008 |
| DOIs | |
| Publication status | Published - Apr 2008 |
Keywords
- Fluctuation phenomena random processes noise and Brownian motion
- Colloids
- Dynamics of biomolecules
- Nonequilibrium and irreversible thermodynamics