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Free energy landscapes encode the kinetics, intermediates, and transition states that govern molecular processes and are thus a key target of single biomolecule research. Typical approaches to deriving optimal, error-minimizing,…

Biological Physics · Physics 2025-11-25 Oliver Cheng , Zosia Adamska , Michael P. Brenner , Megan C. Engel

Biological systems fundamentally exist out of equilibrium in order to preserve organized structures and processes. Many changing cellular conditions can be represented as transitions between nonequilibrium steady states, and organisms have…

Statistical Mechanics · Physics 2014-08-08 Patrick R. Zulkowski , David A. Sivak , Michael R. DeWeese

Recent studies have explored finite-time dissipation-minimizing protocols for stochastic thermodynamic systems driven arbitrarily far from equilibrium, when granted full external control to drive the system. However, in both simulation and…

Statistical Mechanics · Physics 2022-10-27 Adrianne Zhong , Michael R. DeWeese

The realization of efficient micro-machines built from active matter requires precise thermodynamic control far from equilibrium. Despite theoretical progress, the focus on single-parameter driving, coupled with strict theoretical…

Soft Condensed Matter · Physics 2026-03-18 Luke K. Davis

For systems in an externally controllable time-dependent potential, the optimal protocol minimizes the mean work spent in a finite-time transition between two given equilibrium states. For overdamped dynamics which ignores inertia effects,…

Statistical Mechanics · Physics 2008-07-23 Alex Gomez-Marin , Tim Schmiedl , Udo Seifert

The development of efficient artificial nanodevices poses challenges which are of fundamental and technological nature. Recent progress has been made in the context of finite-time thermodynamics. A central question in finite-time…

Statistical Mechanics · Physics 2014-03-18 Mario Einax

The development of sophisticated experimental means to control nanoscale systems has motivated efforts to design driving protocols which minimize the energy dissipated to the environment. Computational models are a crucial tool in this…

Statistical Mechanics · Physics 2016-09-14 Todd R. Gingrich , Grant M. Rotskoff , Gavin E. Crooks , Phillip L. Geissler

Nonequilibrium physics encompasses a broad range of natural and synthetic small-scale systems. Optimizing transitions of such systems will be crucial for the development of nanoscale technologies and may reveal the physical principles…

Statistical Mechanics · Physics 2015-09-23 Patrick R. Zulkowski , Michael R. DeWeese

Controlling thermodynamic cycles to minimize the dissipated heat is a longstanding goal in thermodynamics, and more recently, a central challenge in stochastic thermodynamics for nanoscale systems. Here, we introduce a theoretical and…

Statistical Mechanics · Physics 2023-03-15 Shriram Chennakesavalu , Grant M. Rotskoff

We present a method to design driving protocols that achieve fast thermal equilibration of a system of interest using techniques inspired by machine learning training algorithms. For example, consider a Brownian particle manipulated by…

Statistical Mechanics · Physics 2025-06-25 Diego Rengifo , Gabriel Téllez

The optimal control of passive systems in equilibrium typically favours quasistatic (infinite-time) protocols. We show that a breakdown of quasistatic optimality occurs when the controller itself is dissipative. Concretely, we study a…

Statistical Mechanics · Physics 2026-05-08 Luca Cocconi , Henry Alston , Thibault Bertrand

Transferring a physical system from an initial to a final state while minimizing energetic losses is an interdisciplinary control problem that bridges stochastic thermodynamics and optimal transport theory. Recent research typically…

Statistical Mechanics · Physics 2026-02-23 Jann van der Meer , Andreas Dechant

Run-and-tumble particles constitute one of the simplest models of self-propelled active matter, and provide an ideal playground to the understanding of out-of-equilibrium systems. We consider an idealized setup where one such particle is…

Statistical Mechanics · Physics 2026-02-05 Marco Baldovin , Alessandro Manacorda

We propose a reformulation of the problem of optimally controlled transitions in stochastic thermodynamics. We impose that any terminal cost specified by a thermodynamic functional should depend only on state variables and not on control…

Statistical Mechanics · Physics 2025-10-03 Julia Sanders , Paolo Muratore-Ginanneschi

Information processing machines at the nanoscales are unavoidably affected by thermal fluctuations. Efficient design requires understanding how nanomachines can operate at minimal energy dissipation. In this letter we focus on mechanical…

Statistical Mechanics · Physics 2015-03-17 Paolo Muratore-Ginanneschi , Kay Schwieger

A computational revolution unleashed the power of artificial neural networks. At the heart of that revolution is automatic differentiation, which calculates the derivative of a performance measure relative to a large number of parameters.…

Quantitative Methods · Quantitative Biology 2023-12-27 Steven A. Frank

Optimal control of nanomagnets has become an urgent problem for the field of spintronics as technological tools approach thermodynamically determined limits of efficiency. In complex, fluctuating systems, like nanomagnetic bits, finding…

Statistical Mechanics · Physics 2017-02-01 Grant M. Rotskoff , Gavin E. Crooks , Eric Vanden-Eijnden

Microscopic machines utilize free energy to create and maintain out-of-equilibrium organization in virtually all living things. Often this takes the form of converting the free energy stored in nonequilibrium chemical potential differences…

Statistical Mechanics · Physics 2019-08-23 Steven J. Large , David A. Sivak

Optimal control is a central problem in quantum thermodynamics. When minimizing dissipated work and work fluctuations defined via the two-point measurement scheme in open quantum systems, existing approaches largely focus on the rapid- and…

Quantum Physics · Physics 2026-04-08 Yuki Kurokawa , Yoshihiko Hasegawa

A general understanding of optimal control in non-equilibrium systems would illuminate the operational principles of biological and artificial nanoscale machines. Recent work has shown that a system driven out of equilibrium by a linear…

Statistical Mechanics · Physics 2015-12-23 Grant M. Rotskoff , Gavin E. Crooks
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