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We present an analysis of the work performed on a system of interest that is kept thermally isolated during the switching of a control parameter. We show that there exists, for a certain class of systems, a finite-time family of switching…

Statistical Mechanics · Physics 2015-05-07 Thiago V. Acconcia , Marcus V. S. Bonança

Starting from the stochastic thermodynamics description of two coupled underdamped Brownian particles, we showcase and compare three different coarse-graining schemes leading to an effective thermodynamic description for the first of the…

Statistical Mechanics · Physics 2020-02-20 Tim Herpich , Kamran Shayanfard , Massimiliano Esposito

In conventional thermodynamics, it is widely acknowledged that the realization of an isothermal process for a system requires a quasi-static controlling protocol. Here we propose and design a strategy to realize a finite-rate isothermal…

Statistical Mechanics · Physics 2017-07-25 Geng Li , H. T. Quan , Z. C. Tu

We present and characterize a method to accelerate the relaxation of a Brownian object between two distinct equilibrium states. Instead of relying on a deterministic time-dependent control parameter, we use stochastic resetting to guide and…

Statistical Mechanics · Physics 2024-06-07 Rémi Goerlich , Tommer D. Keidar , Yael Roichman

While optimal control theory offers effective strategies for minimizing energetic costs in noisy microscopic systems over finite durations, a significant opportunity lies in exploiting the temporal structure of non-equilibrium forces. We…

Statistical Mechanics · Physics 2025-04-10 Kristian Stølevik Olsen , Rémi Goerlich , Yael Roichman , Hartmut Löwen

We study the problem of minimising the connection time between non-equilibrium steady states of the Brownian Gyrator. This is a paradigmatic model in non-equilibrium statistical mechanics, an overdamped Brownian particle trapped in a…

Statistical Mechanics · Physics 2025-03-25 A. Patrón , C. A. Plata , A. Prados

We review a series of experimental studies of the thermodynamics of nonequilibrium processes at the microscale. In particular, in these experiments we studied the fluctuations of the thermodynamic properties of a single optically-trapped…

Statistical Mechanics · Physics 2016-06-22 L. Dinis , I. A. Martínez , É. Roldán , J. M. R. Parrondo , R. A. Rica

Thermodynamics of small systems has become an important field of statistical physics. They are driven out of equilibrium by a control, and the question is naturally posed how such a control can be optimized. We show that optimization…

Statistical Mechanics · Physics 2011-09-08 Erik Aurell , Carlos Mejia-Monasterio , Paolo Muratore-Ginanneschi

Measurement and feedback allows an external agent to extract work from a system in contact with a single thermal bath. The maximum amount of work that can be extracted in a single measurement and the corresponding feedback loop is given by…

Statistical Mechanics · Physics 2024-01-19 L. Dinis , J. M. R. Parrondo

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

Brownian escape is key to a wealth of physico-chemical processes, including polymer folding, and information storage. The frequency of thermally activated energy barrier crossings is assumed to generally decrease exponentially with…

Soft Condensed Matter · Physics 2020-06-19 Marie Chupeau , Jannes Gladrow , Alexei Chepelianskii , Ulrich F. Keyser , Emmanuel Trizac

A system's configurational state can be manipulated using dynamic variation of control parameters, such as temperature, pressure, or magnetic field; for finite-duration driving, excess work is required above the equilibrium free-energy…

Statistical Mechanics · Physics 2022-09-16 Miranda D. Louwerse , David A. Sivak

Understanding and manipulating work fluctuations in microscale and nanoscale systems are of both fundamental and practical interest. For example, aspects of work fluctuations will be an important factor in designing nanoscale heat engines.…

Statistical Mechanics · Physics 2014-11-26 Gaoyang Xiao , Jiangbin Gong

Extracting useful work from quantum systems is a fundamental problem in quantum thermodynamics. In scenarios where rapid protocols are desired -- whether due to practical constraints or deliberate design choices -- a fundamental trade-off…

Quantum Physics · Physics 2026-04-23 Shoki Sugimoto , Takahiro Sagawa , Ryusuke Hamazaki

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…

A formalism based on Pontryagin's maximum principle is applied to determine the time-optimal protocol that drives a general initial state to a target state by a Hamiltonian with limited control, i.e., there is a single control field with…

Quantum Physics · Physics 2020-02-19 Chungwei Lin , Dries Sels , Yebin Wang

The piston system (particles in a box) is the simplest and paradigmatic model in traditional thermodynamics. However, the recently established framework of stochastic thermodynamics (ST) fails to apply to this model system due to the…

Statistical Mechanics · Physics 2016-10-28 Zongping Gong , Yueheng Lan , H. T. Quan

We analytically solve the finite-time control problem of driving an overdamped particle via an optical trap under costly measurement. By formulating this mesoscopic information engine within the Partially Observable Markov Decision Process…

Statistical Mechanics · Physics 2026-04-10 Emanuele Panizon

The context of the present paper is stochastic thermodynamics - an approach to nonequilibrium thermodynamics rooted within the broader framework of stochastic control. In contrast to the classical paradigm of Carnot engines, we herein…

Systems and Control · Electrical Eng. & Systems 2021-01-08 Rui Fu , Olga Movilla Miangolarra , Amirhossein Taghvaei , Yongxin Chen , Tryphon T. Georgiou

We consider a Brownian particle in harmonic confinement of stiffness $k$, in one dimension in the underdamped regime. The whole setup is immersed in a heat bath at temperature $T$. The center of harmonic trap is dragged under any arbitrary…

Statistical Mechanics · Physics 2020-03-18 Deepak Gupta , Amos Maritan
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