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Single-particle heat engines at atomic and colloidal scales obey the universal thermodynamic bounds on work and efficiency. Here, we translate these principles to the macroscale by building an athermal Stirling engine whose working medium…

Statistical Mechanics · Physics 2025-12-15 Niloyendu Roy , Pragya Arora , A K Sood , Rajesh Ganapathy

We solve a set of selected exercises on rotational motion requiring a mechanical and thermodynamical analysis. When non-conservative forces or thermal effects are present, a complete study must use the first law of thermodynamics together…

Classical Physics · Physics 2014-04-08 Julio Güémez , Manuel Fiolhais

The steady states of two gases of hard spheres or disks separated by an adiabatic piston in presence of a temperature gradient are discussed. The temperature field is generated by two thermal walls at different temperatures, each of them in…

Statistical Mechanics · Physics 2013-05-06 J Javier Brey , Nagi Khalil

We model a tiny heat engine as a Brownian particle that moves in a viscous medium in a sawtooth potential (with or without load) assisted by $\it {alternately}$ placed hot and cold heat baths along its path. We find closed form expression…

Statistical Mechanics · Physics 2009-11-11 Mesfin Asfaw , Mulugeta Bekele

Engines are open systems that can generate work cyclically, at the expense of an external disequilibrium. They are ubiquitous in nature and technology, but the course of mathematical physics over the last 300 years has tended to make their…

Statistical Mechanics · Physics 2021-09-01 Robert Alicki , David Gelbwaser-Klimovsky , Alejandro Jenkins

We study the energestics of a thermal motor driven by temperature differences, which consists of Brownian particles moving in a sawtooth potential with an external load where the viscous medium is alternately in contact with hot and cold…

Biological Physics · Physics 2009-11-11 Baoquan Ai , Liqiu Wang , Huizhang Xie , Lianggang Liu

Conventional heat-engine models typically assume two heat reservoirs at fixed temperatures. In contrast, radioisotope power systems introduce a fundamentally different paradigm in which the hot sources supply heat at a constant generation…

Statistical Mechanics · Physics 2025-06-26 Xinshu Xia , Hongbo Huang , Hui Dong

We investigate the performance of a Brownian heat engine working in a heterogeneous thermal bath where the mobility fluctuates. Brownian particle is trapped by the time-dependent harmonic potential, by changing the stiffness coefficient and…

Statistical Mechanics · Physics 2024-05-20 I. Iyyappan , Jetin E. Thomas , Sibasish Ghosh

Heat engines that convert thermal energy into work are a cornerstone of classical thermodynamics and remain an active area of contemporary research. Notable examples include microscopic heat engines, trade-off relations between power and…

Statistical Mechanics · Physics 2026-04-07 Gustavo A. L. Forão , Arya Datta , Carlos E. Fiore , Andre C. Barato

We model a microscopic heat engine as a particle hopping on a one-dimensional lattice in a periodic sawtooth potential, with or without load, assisted by the thermal kicks it gets from alternately placed hot and cold thermal baths. We find…

Statistical Mechanics · Physics 2009-11-11 Mesfin Asfaw , Mulugeta Bekele

A colloidal particle confined in a time-dependent optical trap can function as a microscopic heat engine, with optimization strategies playing a crucial role in enhancing its performance. In this study, we numerically investigate a Stirling…

Statistical Mechanics · Physics 2025-09-22 Amrutayani Panda , Biswajit Das , Shuvojit Paul , Arnab Saha , Ayan Banerjee

We investigate a model for a Stirling-like engine consisting of a passive Brownian particle confined by a harmonic potential and interacting with a suspension of active Brownian particles that self-propel in a viscous solvent, which…

Soft Condensed Matter · Physics 2022-12-06 Carlos Antonio Guevara-Valadez , Rahul Marathe , Juan Ruben Gomez-Solano

We present the stochastic thermodynamics analysis of an open quantum system weakly coupled to multiple reservoirs and driven by a rapidly oscillating external field. The analysis is built on a modified stochastic master equation in the…

Statistical Mechanics · Physics 2015-05-12 Gregory Bulnes Cuetara , Andreas Engel , Massimiliano Esposito

Colloidal heat engines are paradigmatic models to understand the conversion of heat into work in a noisy environment - a domain where biological and synthetic nano/micro machines function. While the operation of these engines across thermal…

Statistical Mechanics · Physics 2021-09-01 Niloyendu Roy , Nathan Leroux , A K Sood , Rajesh Ganapathy

We consider a heavy piston in an infinite cylinder surrounded by ideal gases on both sides. The piston moves under elastic collisions with gas atoms. We assume here that the gases always exert equal pressures on the piston, hence the piston…

Statistical Mechanics · Physics 2007-05-23 N. Chernov

Thermodynamics of nanoscale devices is an active area of research. Despite their noisy surrounding they often produce mechanical work (e.g. micro-heat engines), display rectified Brownian motion (e.g. molecular motors). This invokes…

Statistical Mechanics · Physics 2018-12-05 Arnab Saha , Rahul Marathe , P. S. Pal , A. M. Jayannavar

Brownian particles interacting sequentially with distinct temperatures and driving forces at each stroke have been tackled as a reliable alternative for the construction of engine setups. However they can behave very inefficiently depending…

Statistical Mechanics · Physics 2022-12-28 Iago N. Mamede , Angel L. L. Stable , C. E. Fiore

We introduce an alternative route for obtaining reliable cyclic engines, based on interacting Brownian particles under time-periodic drivings. General expressions for the thermodynamic fluxes, such as power and heat, are obtained using the…

Statistical Mechanics · Physics 2022-02-16 Iago N. Mamede , Pedro E. Harunari , Bruno A. N. Akasaki , Karel Proesmans , Carlos E. Fiore

This study developed the theory of nonequilibrium thermodynamics for populations of low-temperature-differential (LTD) Stirling engines weakly-coupled in a general class of networks to clarify the effects of synchronous and asynchronous…

Statistical Mechanics · Physics 2025-02-26 Songhao Yin , Hiroshi Kori , Yuki Izumida

We introduce quantum heat engines that perform quantum Otto cycle and the quantum Stirling cycle by using a coupled pair of harmonic oscillator as its working substance. In the quantum regime, different working medium is considered for the…

Quantum Physics · Physics 2021-08-25 Tanmoy Pandit , Pritam Chattopadhyay , Goutam Paul