Near-optimal protocols in complex nonequilibrium transformations
Author(s)Gingrich, Todd R.; Rotskoff, Grant M.; Crooks, Gavin E.; Geissler, Phillip L.
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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.
DepartmentMassachusetts Institute of Technology. Department of Physics
Proceedings of the National Academy of Sciences
National Academy of Sciences (U.S.)
Gingrich, Todd R.; Rotskoff, Grant M.; Crooks, Gavin E. and Geissler, Phillip L. “Near-Optimal Protocols in Complex Nonequilibrium Transformations.” Proceedings of the National Academy of Sciences 113, no. 37 (August 2016): 10263–10268. © National Academy of Sciences
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