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The constraint relation for efficiency and power is crucial to design optimal heat engines operating within finite time. We find a universal constraint between efficiency and output power for heat engines operating in the low-dissipation…

Quantum Physics · Physics 2018-10-09 Yu-Han Ma , Dazhi Xu , Hui Dong , Chang-Pu Sun

Onsager's regression hypothesis connects the temporal relaxation of close-to-equilibrium systems with their dynamical correlation functions at thermal equilibrium. While the hypothesis is provably correct in classical systems, it is known…

Statistical Mechanics · Physics 2024-07-17 Peter Reimann , Christian Eidecker-Dunkel

We study analytically a thermal Brownian motor model and calculate exactly the Onsager coefficients. We show how the reciprocity relation holds and that the determinant of the Onsager matrix vanishes. Such condition implies that the device…

Statistical Mechanics · Physics 2009-11-11 A. Gomez-Marin , J. M. Sancho

We optimize finite-time stochastic heat engines with a periodically scaled Hamiltonian under experimentally motivated constraints on the bath temperature $T$ and the scaling parameter $\lambda$. We present a general geometric proof that…

Statistical Mechanics · Physics 2022-11-28 Zhuolin Ye , Federico Cerisola , Paolo Abiuso , Janet Anders , Martí Perarnau-Llobet , Viktor Holubec

We prove the equivalence among symmetricity, time reversibility, and zero entropy production of the stationary solutions of linear stochastic differential equations. A sufficient and necessary reversibility condition expressed in terms of…

Mathematical Physics · Physics 2007-05-23 Hong Qian

Based on a quantum thermodynamic protocol for shortcut to isothermality that smoothly modify the system-reservoir interaction can significantly speed up an isothermal process while keeping the overall dissipation constant [Phys. Rev. X. 10,…

Quantum Physics · Physics 2022-11-15 Yanchao Zhang , Shuang Wang

We apply advanced methods of control theory to open quantum systems and we determine finite-time processes which are optimal with respect to thermodynamic performances. General properties and necessary conditions characterizing optimal…

Quantum Physics · Physics 2018-08-01 Vasco Cavina , Andrea Mari , Alberto Carlini , Vittorio Giovannetti

A microscopic model for a translational Brownian motor, dubbed as Brownian Translator, is introduced. It is inspired by the Brownian Gyrator of Filliger and Reimann (Filliger and Reimann 2007). The Brownian Translator consists of a…

Statistical Mechanics · Physics 2023-12-21 Bart Wijns , Ralf Eichhorn , Bart Cleuren

Hypocoercivity methods are applied to linear kinetic equations without any space confinement, when local equilibria have a sub-exponential decay. By Nash type estimates, global rates of decay are obtained, which reflect the behavior of the…

Analysis of PDEs · Mathematics 2024-01-12 Emeric Bouin , Jean Dolbeault , Laurent Lafleche , Christian Schmeiser

Recent advances in experimental control of colloidal systems have spurred a revolution in the production of mesoscale thermodynamic devices. Functional "textbook" engines, such as the Stirling and Carnot cycles, have been produced in…

Statistical Mechanics · Physics 2022-06-15 Adam G. Frim , Michael R. DeWeese

We derive bounds to the thermodynamic uncertainty relations in the linear-response regime for steady-state transport in two-terminal systems when time reversal symmetry is broken. We find that such bounds are different for charge and heat…

Mesoscale and Nanoscale Physics · Physics 2023-09-26 Fabio Taddei , Rosario Fazio

The application of a temperature gradient along a fluid-solid interface generates stresses in the fluid causing "thermo-osmotic" flow. Much of the understanding of this phenomenon is based on Derjaguin's work relating thermo-osmotic flows…

Soft Condensed Matter · Physics 2019-10-24 Oded Farago

Shortcuts to adiabaticity provide a general approach to mimic adiabatic quantum processes via arbitrarily fast evolutions in Hilbert space. For these counter-diabatic evolutions, higher speed comes at higher energy cost. Here, the…

Quantum Physics · Physics 2017-12-19 Alan C. Santos , Marcelo S. Sarandy

We propose a systematic method for learning stable and physically interpretable dynamical models using sampled trajectory data from physical processes based on a generalized Onsager principle. The learned dynamics are autonomous ordinary…

Dynamical Systems · Mathematics 2021-11-25 Haijun Yu , Xinyuan Tian , Weinan E , Qianxiao Li

Building on our earlier work (Proesmans et. al., Phys.~Rev.~X \textbf{6} (2016), 041010), we introduce the underdamped Brownian duet as a prototype model of a dissipative system or of a work-to-work engine. Several recent advances from the…

Statistical Mechanics · Physics 2017-10-11 Karel Proesmans , Christan Van den Broeck

The reversible nature of thermodynamical cycles is an idealisation based on the assumption of perfect quasi-static dynamics. As a consequence of this assumption, ideal engines operate at the maximum efficiency but have zero power. Realistic…

Quantum Physics · Physics 2014-09-05 A. del Campo , J. Goold , M. Paternostro

In contrast to the classical concept of a Carnot engine that alternates contact between heat baths of different temperatures, naturally occurring processes usually harvest energy from anisotropy, being exposed simultaneously to chemical and…

Systems and Control · Electrical Eng. & Systems 2022-12-27 Olga Movilla Miangolarra , Amirhossein Taghvaei , Yongxin Chen , Tryphon T. Georgiou

The theory of constructing instantaneous equilibrium (ieq) transition under arbitrary time-dependent temperature and potential variation for a Brownian particle is developed. It is shown that it is essential to consider the underdamped…

Statistical Mechanics · Physics 2021-08-18 Yonggun Jun , Pik-Yin Lai

We study the 1-d isotropic Heisenberg model of two spin-1/2 systems as a quantum heat engine. The engine undergoes a four-step Otto cycle where the two adiabatic branches involve changing the external magnetic field at a fixed value of the…

Quantum Physics · Physics 2015-05-20 George Thomas , Ramandeep S. Johal

We introduce a class of stochastic engines in which the regime of units operating synchronously can boost the performance. Our approach encompasses a minimal setup composed of $N$ interacting units placed in contact with two thermal baths…

Statistical Mechanics · Physics 2023-06-21 Fernando S. Filho , Gustavo A. L. Forão , D. M. Busiello , B. Cleuren , Carlos E. Fiore
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