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Thermodynamic Uncertainty Relations express a trade-off between precision, defined as the noise-to-signal ratio of a generic current, and the amount of associated entropy production. These results have deep consequences for autonomous heat…

The thermodynamic uncertainty relations provide a universal trade-offs between entropy dissipation rate and fluctuations in transport current. This relation has been mostly used to estimate a minimum entropy dissipation rate by…

Statistical Mechanics · Physics 2019-11-25 Jiawei Yan

Maximizing the speed and precision of communication while minimizing power dissipation is a fundamental engineering design goal. Also, biological systems achieve remarkable speed, precision and power efficiency using poorly understood…

Statistical Mechanics · Physics 2016-03-30 Subhaneil Lahiri , Jascha Sohl-Dickstein , Surya Ganguli

When a system is driven out of equilibrium by a time-dependent protocol that modifies the Hamiltonian, it follows a nonequilibrium path. Samples of these paths can be used in nonequilibrium work theorems to estimate equilibrium quantities,…

Statistical Mechanics · Physics 2009-05-29 David D. L. Minh

Technical components are usually well optimized. However, simply combining these optimized components in a technical system does not necessarily lead to optimal systems. Therefore, focusing on a system perspective reveals new potential for…

Optimization and Control · Mathematics 2018-10-31 Jonas Benjamin Weber , Ulf Lorenz

We propose an optimization strategy to control the dynamics of a stochastic system transferred from one thermal equilibrium to another and apply it experimentally to a Brownian particle in an optical trap under compression. Based on a…

This paper investigates the relations between three different properties, which are of importance in optimal control problems: dissipativity of the underlying dynamics with respect to a specific supply rate, optimal operation at steady…

Systems and Control · Computer Science 2017-07-18 Timm Faulwasser , Milan Korda , Colin N. Jones , Dominique Bonvin

Micro- and nano-scale systems driven by rapid changes in control parameters (control protocols) dissipate significant energy. In the fast-protocol limit, we find that protocols that minimize dissipation at fixed duration are universally…

Statistical Mechanics · Physics 2021-08-11 Steven Blaber , Miranda D. Louwerse , David A. Sivak

Diverse physical systems are characterized by their response to small perturbations. Near thermodynamic equilibrium, the fluctuation-dissipation theorem provides a powerful theoretical and experimental tool to determine the nature of…

Statistical Mechanics · Physics 2020-03-25 Jeremy A. Owen , Todd R. Gingrich , Jordan M. Horowitz

There are many functional contexts where it is desirable to maintain a mesoscopic system in a nonequilibrium state. However, such control requires an inherent energy dissipation. In this article, we unify and extend a number of works on the…

Statistical Mechanics · Physics 2017-11-07 Jordan M. Horowitz , Jeremy L. England

We show a new mechanism to extract energy from non-equilibrium fluctuations typical of periodically driven non-Hermitian systems. The transduction of energy between the driving force and the system is revealed by an \emph{anomalous}…

Statistical Mechanics · Physics 2009-10-31 T. Alarcon , A. Perez-Madrid , J. M. Rubi

For classical ballistic transport in a multi-terminal geometry, we derive a universal trade-off relation between total dissipation and the precision, at which particles are extracted from individual reservoirs. Remarkably, this bound…

Statistical Mechanics · Physics 2018-03-06 Kay Brandner , Taro Hanazato , Keiji Saito

Nonequilibrium information thermodynamics determines the minimum energy dissipation to reliably erase memory under time-symmetric control protocols. We demonstrate that its bounds are tight and so show that the costs overwhelm those implied…

Statistical Mechanics · Physics 2021-04-28 Gregory W. Wimsatt , Alexander B. Boyd , Paul M. Riechers , James P. Crutchfield

Stochastic thermodynamics is formulated under the assumption of perfect knowledge of all thermodynamic parameters. However, in any real-world experiment, there is non-zero uncertainty about the precise value of temperatures, chemical…

Statistical Mechanics · Physics 2024-01-11 Jan Korbel , David H. Wolpert

Stochastic resetting is a driving mechanism that is known to minimize the first passage time to reach a target, at the cost of energy expenditure. The choice of the physical implementation of each resetting event determines the tradeoff…

Statistical Mechanics · Physics 2025-07-29 Rémi Goerlich , Kristian Stølevik Olsen , Hartmut Löwen , Yael Roichman

Large optimal transport problems can be approached via domain decomposition, i.e. by iteratively solving small partial problems independently and in parallel. Convergence to the global minimizers under suitable assumptions has been shown in…

Optimization and Control · Mathematics 2021-06-16 Mauro Bonafini , Ismael Medina , Bernhard Schmitzer

We derive an equality for non-equilibrium statistical mechanics in finite-dimensional quantum systems. The equality concerns the worst-case work output of a time-dependent Hamiltonian protocol in the presence of a Markovian heat bath. It…

In a stochastic heat engine driven by a cyclic non-equilibrium protocol, fluctuations in work and heat give rise to a fluctuating efficiency. Using computer simulations and tools from large deviation theory, we have examined these…

Statistical Mechanics · Physics 2014-10-27 Todd R. Gingrich , Grant M. Rotskoff , Suriyanarayanan Vaikuntanathan , Phillip L. Geissler

Chemical processes in closed systems are poorly controllable since they always relax to equilibrium. Living systems avoid this fate and give rise to a much richer diversity of phenomena by operating under nonequilibrium conditions. Recent…

Chemical Physics · Physics 2019-09-11 Emanuele Penocchio , Riccardo Rao , Massimiliano Esposito

Two robots stand at the origin of the infinite line and are tasked with searching collaboratively for an exit at an unknown location on the line. They can travel at maximum speed $b$ and can change speed or direction at any time. The two…