Lawrence Berkeley National Laboratory
Near-optimal protocols in complex nonequilibrium transformations
- Author(s): Gingrich, TR
- Rotskoff, GM
- Crooks, GE
- Geissler, PL
- et al.
Published Web Locationhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC5027427/
The development of sophisticated experimental means to control nanoscale systems has motivated efforts to design driving protocols that minimize the energy dissipated to the environment. Computational models are a crucial tool in this practical challenge. We describe a general method for sampling an ensemble of finite-time, nonequilibrium protocols biased toward a low average dissipation. We show that this scheme can be carried out very efficiently in several limiting cases. As an application, we sample the ensemble of low-dissipation protocols that invert the magnetization of a 2D Ising model and explore how the diversity of the protocols varies in response to constraints on the average dissipation. In this example, we find that there is a large set of protocols with average dissipation close to the optimal value, which we argue is a general phenomenon.