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The efficiency of microscopic heat engines in a thermally heterogenous environment is considered. We show that, as a consequence of the recently discovered entropic anomaly, quasi-static engines, whose efficiency is maximal in a fluid at…

Statistical Mechanics · Physics 2015-06-12 Stefano Bo , Antonio Celani

We study the optimal performance of Carnot-like heat engines working in low dissipation regime using the product of the efficiency and the power output, also known as the efficient power, as our objective function. Efficient power function…

Statistical Mechanics · Physics 2018-12-26 Varinder Singh , Ramandeep S. Johal

A specific class of stochastic heat engines driven cyclically by time-dependent potential, which is defined in the half-line ($0<x<+\infty$), is analysed. For such engines, most of their physical quantities can be obtained explicitly,…

Statistical Mechanics · Physics 2020-02-18 Yunxin Zhang

We investigate the performance of an underdamped stochastic heat engine for a time-dependent harmonic oscillator. We analytically determine the optimal protocol that maximizes the efficiency at fixed power. The maximum efficiency reduces to…

Statistical Mechanics · Physics 2017-12-06 Andreas Dechant , Nikolai Kiesel , Eric Lutz

For a four-stroke asymmetrically driven quantum Otto engine with working medium modeled by a single qubit, we study the bounds on non-equilibrium fluctuations of work and heat. We find strict relations between the fluctuations of work and…

Statistical Mechanics · Physics 2023-08-02 Sandipan Mohanta , Madhumita Saha , B. Prasanna Venkatesh , Bijay Kumar Agarwalla

We consider an isothermal machine composed of two Brownian particles (say particle A and B) connected by a harmonic spring. A constant load is attached to particle A, and the particle B is trapped in a harmonic confinement whose minimum is…

Statistical Mechanics · Physics 2018-08-01 Deepak Gupta

A heat engine operating in the one-shot finite-size regime, where systems composed of a small number of quantum particles interact with hot and cold baths and are restricted to one-shot measurements, delivers fluctuating work. Further,…

Quantum Physics · Physics 2021-02-15 Mohit Lal Bera , Maciej Lewenstein , Manabendra Nath Bera

We propose a two-stage cycle for an optimized linear-irreversible heat engine that operates, in a finite time, between a hot (cold) reservoir and a finite auxiliary system acting as a sink (source) in the first (second) stage. Under the…

Statistical Mechanics · Physics 2019-08-02 I. Iyyappan , Ramandeep S. Johal

Single-molecule experiments have found near-perfect thermodynamic efficiency in the rotary motor F1-ATP synthase. To help elucidate the principles underlying nonequilibrium energetic efficiency in such stochastic machines, we investigate…

Statistical Mechanics · Physics 2019-09-05 Joseph N. E. Lucero , Aliakbar Mehdizadeh , David A. Sivak

We study the nonequilibrium steady state realized in a general stochastic system attached to multiple heat baths and/or driven by an external force. Starting from the detailed fluctuation theorem we derive concise and suggestive expressions…

Statistical Mechanics · Physics 2009-11-13 Teruhisa S. Komatsu , Naoko Nakagawa

Here, we investigate the maximum power and corresponding efficiency of thermoelectric generators through devising a set of protocols for the isothermal and adiabatic processes of thermoelectricity to build a Carnot-like thermoelectric…

Applied Physics · Physics 2023-11-28 Yuchao Hua , Lingai Luo , Zeng-Yuan Guo

Returning a system to a desired state under a force field involves a thermodynamic cost, i.e., {\it work}. This cost fluctuates for a small-scale system from one experimental realization to another. We introduce a general framework to…

Statistical Mechanics · Physics 2022-12-07 Deepak Gupta , Carlos A. Plata

Thermodynamic Uncertainty Relations express a trade-off between precision, defined as the noise-to-signal ratio of a generic current, and the amount of associated entropy production. These results have deep consequences for autonomous heat…

In the standard framework of thermodynamics the work produced or consumed in a process is a random variable whose average value is bounded by the change in the free energy of the system. This work is calculated without regard for the size…

Quantum Physics · Physics 2017-04-19 Jonathan G. Richens , Lluis Masanes

We use a relationship between response and correlation function in nonequilibrium systems to establish a connection between the heat production and the deviations from the equilibrium fluctuation-dissipation theorem. This scheme extends the…

Statistical Mechanics · Physics 2014-04-11 E. Lippiello , M. Baiesi , A. Sarracino

We study the efficiency at maximum power of non-adiabatic dissipative (internally dissipative friction in finite time adiabatic processes) Carnot-like heat engines operate in finite time under the power law dissipation regime. We find that…

Statistical Mechanics · Physics 2020-04-22 M. Ponmurugan

Collisional Brownian engines have attracted significant attention due to their simplicity, experimental accessibility, and amenability to exact analytical solutions. While previous research has predominantly focused on optimizing mean…

Statistical Mechanics · Physics 2025-11-11 Gustavo A. L. Forão , Fernando S. Filho , Pedro V. Paraguassú

We consider the quality factor Q, which quantifies the trade-off between power, efficiency, and fluctuations in steady-state heat engines modeled by dynamical systems. We show that the nonlinear scattering theory, both in classical and…

Statistical Mechanics · Physics 2020-10-28 Giuliano Benenti , Giulio Casati , Jiao Wang

We study a periodically driven (symmetric as well as asymmetric)double-well potential system at finite temperature. We show that mean heat loss by the system to the environment(bath) per period of the applied field is a good quantifier of…

Statistical Mechanics · Physics 2009-11-13 Mamata Sahoo , Shantu Saikia , Mangal C. Mahato , A. M. Jayannavar

A fluctuation relation for heat engines (FRHE) has been derived recently. In the beginning, the system is in contact with the cooler bath. The system is then coupled to the hotter bath and external parameters are changed cyclically,…

Statistical Mechanics · Physics 2015-06-05 Sourabh Lahiri , Shubhashis Rana , A. M. Jayannavar