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We have developed a thermodynamic theory in the non-equilibrium regime, which we describe as a thermodynamic system-bath model [S. Koyanagi and Y. Tanimura, J. Chem. Phys. \textbf{160}, 234112 (2024)]. Based on the dimensionless (DL)…

Statistical Mechanics · Physics 2024-09-24 Shoki Koyanagi , Yoshitaka Tanimura

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

The topic of microscopic heat engine has undergone intensive research in recent years. Microscopic heat engines can exploit thermal as well as active fluctuations to extract thermodynamic work. We investigate the properties of a microscopic…

Statistical Mechanics · Physics 2020-03-18 Aradhana Kumari , P. S. Pal , Arnab Saha , Sourabh Lahiri

The study of free piston Stirling engine (FPSE) requires both accurate thermodynamic and dynamic modelling to predict its performances. The steady state behaviour of the engine partly relies on non linear dissipative phenomena such as…

Classical Physics · Physics 2013-01-22 Fabien Formosa

Stick-slip is a ubiquitous phenomenon in many scientific fields, such as earthquake and glacier dynamics, acoustics, cell biology, interface science and tribology. As a fundamental mechanism of energy dissipation in nanofriction, it can be…

Classical Physics · Physics 2021-12-28 Dongyang Zhao

A nanoscale-sized Stirling engine with an atomistic working fluid has been modeled using molecular dynamics simulation. The design includes heat exchangers based on thermostats, pistons attached to a flywheel under load, and a regenerator.…

Computational Physics · Physics 2009-05-03 D. C. Rapaport

In this review the debated rapport between thermodynamics and quantum mechanics is addressed in the framework of the theory of periodically-driven/controlled quantum-thermodynamic machines. The basic model studied here is that of a…

Quantum Physics · Physics 2015-09-15 D. Gelbwaser-Klimovsky , Wolfgang Niedenzu , Gershon Kurizki

In order to study further the promising free piston Stirling engine architecture, there is a need of an analytical thermodynamic model which could be used in a dynamical analysis for preliminary design. To aim at more realistic values, the…

Classical Physics · Physics 2013-01-22 Fabien Formosa , Ghislain Despesse

The fundamentals of a quantum heat engine are derived from first principles. The study is based on the equation of motion of a minimum set of operators which is then used to define the state of the system. The relation between the quantum…

Quantum Physics · Physics 2009-11-10 Tova Feldmann , Ronnie Kosloff

Bifurcation properties, stability behavior, dynamics, and the heat transfer of convection structures in a horizontal fluid layer that is driven away from thermal equilibrium by imposing a vertical temperature difference are compared with…

Pattern Formation and Solitons · Physics 2009-11-11 P. Matura , M. Luecke

A dynamical model of a highly efficient heat engine is proposed, where an applied temperature difference maintains the motion of particles around the circuit consisting of two asymmetric narrow channels, in one of which the current flows…

Statistical Mechanics · Physics 2022-10-06 Giuliano Benenti , Giulio Casati , Fabio Marchesoni , Jiao Wang

We investigate heat conduction in a one-dimensional chain of rigid rotors. The rotors are constrained to rotate in a plane about fixed pivot points and coupled by springs, such that in equilibrium, the neighboring rotors lie on opposite…

Statistical Mechanics · Physics 2025-11-19 T. R. Vishnu , Dibyendu Roy

When a reciprocating heat engine is started it eventually settles to a stable mode of operation. The approach of a first principle quantum heat engine toward this stable limit cycle is studied. The engine is based on a working medium…

Quantum Physics · Physics 2016-09-08 Tova Feldmann , Ronnie Kosloff

All existing heat machines are dissipative open systems. Hence, they cannot operate fully coherently. We propose to replace this conventional thermodynamic paradigm by a completely different one, whereby heat machines are nonlinear coherent…

Steady-state quantum thermal machines are typically characterized by a continuous flow of heat between different reservoirs. However, at the level of discrete stochastic realizations, heat flow is unraveled as a series of abrupt quantum…

Quantum Physics · Physics 2025-06-05 Abhaya S. Hegde , Patrick P. Potts , Gabriel T. Landi

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 consider a stochastic heat conduction model for solids composed by N interacting atoms. The system is in contact with two heat baths at different temperature $T_\ell$ and $T_r$. The bulk dynamics conserve two quantities: the energy and…

Statistical Mechanics · Physics 2009-11-13 Cedric Bernardin

We develop an alternative thermodynamic cycle for the Stirling machine, where the polytropic process plays a central role. Analytical expressions for pressure and temperatures of the working gas are obtained as a function of the volume and…

Classical Physics · Physics 2017-11-21 Alejandro Romanelli

The Stirling engine is a type of heat engine known as its high efficiency. It is applied in solar thermal power, cogeneration, space nuclear power, and other fields. Although there are many different types of Stirling engines, their airflow…

Applied Physics · Physics 2025-04-15 Minghao Deng

This paper investigates the stability and bifurcation of the two-dimensional viscous primitive equations with full diffusion under thermal forcing. The system governs perturbations about a motionless basic state with a linear temperature…

Analysis of PDEs · Mathematics 2025-12-16 Song Jiang , Quan Wang