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Controlling the evolution of nonequilibrium systems to minimize dissipated heat or work is a key goal for designing nanodevices, both in nanotechnology and biology. Progress in computing optimal protocols has thus far been limited to either…

计算物理 · 物理学 2022-01-04 Megan C. Engel , Jamie A. Smith , Michael P. Brenner

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,…

统计力学 · 物理学 2008-07-23 Alex Gomez-Marin , Tim Schmiedl , Udo Seifert

For a small system like a colloidal particle or a single biomolecule embedded in a heat bath, the optimal protocol of an external control parameter minimizes the mean work required to drive the system from one given equilibrium state to…

统计力学 · 物理学 2009-11-13 Tim Schmiedl , Udo Seifert

We propose nearly-optimal control strategies for changing states of a quantum system. We argue that quantum control optimization can be studied analytically within some protocol families that depend on a small set of parameters for…

量子物理 · 物理学 2017-09-13 Chen Sun , Avadh Saxena , Nikolai A. Sinitsyn

We analyze the control of the motion of a charged particle by means of an external electric field. The system is constrained to move along a given direction. The goal of the control is to change the speed of the particle in a fixed time…

最优化与控制 · 数学 2020-01-22 V. Martikyan , D. Guéry-Odelin , D. Sugny

We present a method for determining optimal modes of operation for autonomously oscillating systems with uncertain parameters. In a typical application of the method, a nonlinear dynamical system is optimized with respect to an economic…

动力系统 · 数学 2013-08-20 Darya Kastsian , Martin Mönnigmann

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…

统计力学 · 物理学 2026-05-08 Luca Cocconi , Henry Alston , Thibault Bertrand

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…

统计力学 · 物理学 2026-02-05 Marco Baldovin , Alessandro Manacorda

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…

统计力学 · 物理学 2022-10-27 Adrianne Zhong , Michael R. DeWeese

Quantifying energy flows at nanometer scales promises to guide future research in a variety of disciplines, from microscopic control and manipulation, to autonomously operating molecular machines. A general understanding of the…

统计力学 · 物理学 2018-11-26 Steven J. Large , Raphaël Chetrite , David A. Sivak

Optimal control theory deals with finding protocols to steer a system between assigned initial and final states, such that a trajectory-dependent cost function is minimized. The application of optimal control to stochastic systems is an…

统计力学 · 物理学 2024-09-18 Julia Sanders , Marco Baldovin , Paolo Muratore-Ginanneschi

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…

统计力学 · 物理学 2023-03-15 Shriram Chennakesavalu , Grant M. Rotskoff

For systems in an externally controllable time-dependent potential, the optimal protocol minimizes the mean work spent in a finite-time transition between given initial and final values of a control parameter. For an initially thermalized…

统计力学 · 物理学 2015-05-13 Tim Schmiedl , Eckhard Dieterich , Peter-Simon Dieterich , Udo Seifert

A control framework is proposed for inducing non-equilibrium state transitions in confined active matter, where the statistics of self-propulsion serve as the only control parameter. Positivity of the noise amplitudes and fundamental bounds…

统计力学 · 物理学 2026-04-22 Kristian Stølevik Olsen , Hartmut Löwen

A central goal of thermodynamics is to identify optimal processes during which the least amount of energy is dissipated into the environment. Generally, even for simple systems, such as the parametric harmonic oscillator, optimal control…

统计力学 · 物理学 2018-10-11 Marcus V. S. Bonança , Sebastian Deffner

By transforming identification and control for nonlinear system into optimization problems, a novel optimization method named state transition algorithm (STA) is introduced to solve the problems. In the proposed STA, a solution to a…

最优化与控制 · 数学 2015-11-18 Xiaojun Zhou , Chunhua Yang , Weihua Gui

We study a mechanism for reliable switching in biomolecular signal-transduction cascades. Steady bistable states are created by system-size cooperative effects in populations of proteins, in spite of the fact that the phosphorylation-state…

亚细胞过程 · 定量生物学 2015-05-30 Eric Smith , Supriya Krishnamurthy , Walter Fontana , David Krakauer

Cells use temporal dynamical patterns to transmit information via signaling pathways. As optimality with respect to the environment plays a fundamental role in biological systems, organisms have evolved optimal ways to transmit information.…

生物物理 · 物理学 2016-12-21 Yoshihiko Hasegawa

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…

统计力学 · 物理学 2026-02-23 Jann van der Meer , Andreas Dechant

Non-equilibrium thermodynamics can provide strong advantages when compared to more standard equilibrium situations. Here, we present a general framework to study its application to concrete problems, which is valid also beyond the…

量子物理 · 物理学 2023-03-16 Qiongyuan Wu , Matteo Carlesso
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