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Related papers: Coefficient of performance at maximum \chi-criteri…

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We estimate the performance of Feynman's ratchet at given values of the ratio of cold to hot reservoir temperatures ($\theta$) and the figure of merit (efficiency in the case of engine and coefficienct of performance in the case of…

Statistical Mechanics · Physics 2015-08-03 George Thomas , Ramandeep S. Johal

A unified $\chi$-criterion for heat devices (including heat engines and refrigerators) which is defined as the product of the energy conversion efficiency and the heat absorbed per unit time by the working substance [de Tom\'{a}s \emph{et…

Statistical Mechanics · Physics 2015-03-13 Shiqi Sheng , Z. C. Tu

The maximum power of Feynman's ratchet as a heat engine and the corresponding efficiency ($\eta_\ast$) are investigated by optimizing both the internal parameter and the external load. When a perfect ratchet device (no heat exchange between…

Statistical Mechanics · Physics 2008-07-03 Z. C. Tu

We study the optimal performance of a three-level quantum refrigerator using two different objective functions: cooling power and $\chi$-function. For both cases, we obtain general expressions for the coefficient of performance (COP) and…

Statistical Mechanics · Physics 2020-07-01 Varinder Singh , Tanmoy Pandit , Ramandeep S. Johal

A two-level atomic system as a working substance is used to set up a refrigerator consisting of two quantum adiabatic and two isochoric processes (two constant-frequency processes $\omega_a$ and $\omega_b$ with $\omega_a<\omega_b$), during…

Statistical Mechanics · Physics 2014-12-03 Yuan Yuan , Rui Wang , Jizhou He , Yongli Ma , Jianhui Wang

The figure of merit for refrigerators performing finite-time Carnot-like cycles between two reservoirs at temperature $T_h$ and $T_c$ ($<T_h$) is optimized. It is found that the coefficient of performance at maximum figure of merit is…

Statistical Mechanics · Physics 2012-07-26 Yang Wang , Mingxing Li , Z. C. Tu , A. Calvo Hernández , J. M. M. Roco

The efficiency of a Brownian particle moving in periodic potential in the presence of asymmetric unbiased fluctuations is investigated. We found that there is a regime where the efficiency can be a peaked function of temperature, which…

Biological Physics · Physics 2007-05-23 Bao-Quan Ai , Xian-Ju Wang , Guo-Tao Liu , De-Hua Wen , Hui-Zhang Xie , Wei Chen , Liang-Gang Liu

We study the refrigerator working between a finite-sized cold heat bath and an infinite-sized hot heat bath (environment) in the nonlinear response regime. We assume that the initial temperature $T_i$ of the finite-sized cold heat bath…

Statistical Mechanics · Physics 2025-09-01 I. Iyyappan , Yuki Izumida , Sibasish Ghosh

Feynman's ratchet and pawl is a paradigmatic model for energy conversion using thermal fluctuations in the mesoscopic regime. Here, we optimize the power output of the ratchet as a heat engine in the high temperatures limit, and derive the…

Statistical Mechanics · Physics 2018-08-15 Varinder Singh , Ramandeep S. Johal

We study a refrigerator model which consists of two $n$-level systems interacting via a pulsed external field. Each system couples to its own thermal bath at temperatures $T_h$ and $T_c$, respectively ($\theta\equiv T_c/T_h<1$). The…

Statistical Mechanics · Physics 2015-05-19 Armen E. Allahverdyan , Karen Hovhannisyan , Guenter Mahler

Stochastic model of the Feynman-Smoluchowski ratchet is proposed and solved using generalization of the Fick-Jacobs theory. The theory fully captures nonlinear response of the ratchet to the difference of heat bath temperatures. The ratchet…

We study a refrigerator model which consists of two $n$-level systems interacting via a pulsed external field. Each system couples to its own thermal bath at temperatures $T_h$ and $T_c$, respectively ($\theta\equiv T_c/T_h<1$). The…

Statistical Mechanics · Physics 2009-06-16 Armen E. Allahverdyan , Karen Hovhannisyan , Guenter Mahler

Feynman's ratchet is a microscopic machine in contact with two heat reservoirs, at temperatures $T_A$ and $T_B$, that was proposed by Richard Feynman to illustrate the second law of thermodynamics. In equilibrium ($T_A=T_B$), thermal…

Statistical Mechanics · Physics 2018-10-30 Jaehoon Bang , Rui Pan , Thai M. Hoang , Jonghoon Ahn , Christopher Jarzynski , H. T. Quan , Tongcang Li

A general formalism is derived describing both dynamical and energetic properties of a microscopic Feynman ratchet. Work and heat flows are given as a series expansion in the thermodynamic forces, obtaining analytical expressions for the…

Statistical Mechanics · Physics 2023-04-19 Bart Cleuren , Ralf Eichhorn

The present work investigates the generalized extreme bounds of the coefficient of performance (COP) for the power law dissipative Carnot-like refrigerator in the presence of non-adiabatic dissipation under $\chi$ and $\dot{\Omega}$…

Statistical Mechanics · Physics 2021-11-03 K. Nilavarasi , M. Ponmurugan

An implementation of quantum absorption chillers with three qubits has been recently proposed, that is ideally able to reach the Carnot performance regime. Here we study the working efficiency of such self-contained refrigerators, adopting…

Quantum Physics · Physics 2013-04-30 Luis A. Correa , José P. Palao , Gerardo Adesso , Daniel Alonso

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 study dynamic fluctuations in non-disordered finite dimensional ferromagnetic systems quenched to the critical point and the low-temperature phase. We investigate the fluctuations of two two-time quantities, called $\chi$ and $C$, the…

Statistical Mechanics · Physics 2015-05-13 Federico Corberi , Leticia Cugliandolo

This paper focuses on the coefficient of performance (COP) at maximum figure of merit $\chi$ for a Brownian Carnot-like refrigerator, within the context of symmetric Low-Dissipation approach. Our proposal is based on the Langevin equation…

Statistical Mechanics · Physics 2024-02-09 O. Contreras-Vergara , G. Valencia-Ortega , N. Sánchez-Salas , J. I. Jiménez-Aquino

The concepts of weighted reciprocal of temperature and weighted thermal flux are proposed for a heat engine operating between two heat baths and outputting mechanical work. With the aid of these two concepts, the generalized thermodynamic…

Statistical Mechanics · Physics 2014-01-23 Shiqi Sheng , Z. C. Tu
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