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arXiv · 2203.00428

Precision-dissipation trade-off for driven stochastic systems

Karel Proesmans
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Abstract

In this paper, I derive a closed expression for how precisely a small-scaled system can follow a pre-defined trajectory, while keeping its dissipation below a fixed limit. The total amount of dissipation is approximately inversely proportional to the expected deviation from the pre-defined trajectory. The optimal driving protocol is derived and it is shown that associated time-dependent probability distribution conserves its shape throughout the protocol. Potential applications are discussed in the context of bit erasure and electronic circuits.

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Karel Proesmans. 2022-03-01. Precision-dissipation trade-off for driven stochastic systems. https://arxiv.org/abs/2203.00428

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