scispace - formally typeset
Open AccessJournal ArticleDOI

Efficiency at maximum power: An analytically solvable model for stochastic heat engines

TLDR
In this article, a class of cyclic Brownian heat engines in the framework of finite-time thermodynamics was studied and it was shown that for infinitely long cycle times, the engine works at the Carnot efficiency limit producing zero power.
Abstract
We study a class of cyclic Brownian heat engines in the framework of finite-time thermodynamics. For infinitely long cycle times, the engine works at the Carnot efficiency limit producing, however, zero power. For the efficiency at maximum power, we find a universal expression, different from the endoreversible Curzon-Ahlborn efficiency. Our results are illustrated with a simple one-dimensional engine working in and with a time-dependent harmonic potential.

read more

Citations
More filters
Journal ArticleDOI

Stochastic thermodynamics, fluctuation theorems and molecular machines

TL;DR: Efficiency and, in particular, efficiency at maximum power can be discussed systematically beyond the linear response regime for two classes of molecular machines, isothermal ones such as molecular motors, and heat engines such as thermoelectric devices, using a common framework based on a cycle decomposition of entropy production.
Journal ArticleDOI

Fundamental aspects of steady-state conversion of heat to work at the nanoscale

TL;DR: In this paper, the authors introduce some of the theories used to describe these steady-state flows in a variety of mesoscopic or nanoscale systems, including linear response theory with or without magnetic fields, Landauer scattering theory in the linear response regime and far from equilibrium.
Journal ArticleDOI

Realization of a micrometre-sized stochastic heat engine

TL;DR: An optically trapped colloidal particle serves as the first realization of a stochastic thermal engine, extending our understanding of the thermodynamics behind the Carnot cycle to microscopic scales where fluctuations dominate as mentioned in this paper.
Journal ArticleDOI

Current Trends in Finite‐Time Thermodynamics

TL;DR: Finite-time thermodynamics is to place the system of interest in contact with a time-varying environment which will coax the system along the desired path, much like guiding a horse along by waving a carrot in front of it.
Journal ArticleDOI

Second law and Landauer principle far from equilibrium

TL;DR: In this paper, the authors show that the amount of work needed to change the state of a system in contact with a heat bath between specified initial and final nonequilibrium states is at least equal to the corresponding equilibrium free energy difference plus (respectively, minus) temperature times the information of the final state relative to corresponding equilibrium distributions.
References
More filters
Journal ArticleDOI

Stochastic thermodynamics, fluctuation theorems and molecular machines

TL;DR: Efficiency and, in particular, efficiency at maximum power can be discussed systematically beyond the linear response regime for two classes of molecular machines, isothermal ones such as molecular motors, and heat engines such as thermoelectric devices, using a common framework based on a cycle decomposition of entropy production.
Journal ArticleDOI

A single-atom heat engine

TL;DR: The experimental realization of a single-atom heat engine is reported, demonstrating that thermal machines can be reduced to the limit of single atoms.
Journal ArticleDOI

Fundamental aspects of steady-state conversion of heat to work at the nanoscale

TL;DR: In this paper, the authors introduce some of the theories used to describe these steady-state flows in a variety of mesoscopic or nanoscale systems, including linear response theory with or without magnetic fields, Landauer scattering theory in the linear response regime and far from equilibrium.
Journal ArticleDOI

Realization of a micrometre-sized stochastic heat engine

TL;DR: An optically trapped colloidal particle serves as the first realization of a stochastic thermal engine, extending our understanding of the thermodynamics behind the Carnot cycle to microscopic scales where fluctuations dominate as mentioned in this paper.
Related Papers (5)