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Universal Trade-Off Relation between Power and Efficiency for Heat Engines

2016/05/31 by Naoto Shiraishi, Keiji Saito, Hal Tasaki · 9 citations
Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Carnot cycle #Computer science #Current (fluid) #Dissipation #Heat current #Heat engine #Heat transfer #Markov process #Mathematics #Maximum power principle #Phase Equilibria and Thermodynamics #Physics #Power (physics) #Relation (database) #Statistical physics #Symmetry (geometry) #Thermal Radiation and Cooling Technologies #Thermodynamics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.117.190601

published as Phys. Rev. Lett. 117, 190601 (2016) · 15 pages, 2 figures. This paper is a revised version of https://arxiv.org/abs/1602.03645, now withdrawn

openalex publication_date 2016/10/31 · arxiv created 2016/11/01 · arxiv updated 2016/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

For a general thermodynamic system described as a Markov process, we prove a general lower bound for dissipation in terms of the square of the heat current, thus establishing that nonvanishing current inevitably implies dissipation. This leads to a universal trade-off relation between efficiency and power, with which we rigorously prove that a heat engine with nonvanishing power never attains the Carnot efficiency. Our theory applies to systems arbitrarily far from equilibrium, and does not assume any specific symmetry of the model.

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