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Condensed Matter > Statistical Mechanics

arXiv:1605.00356 (cond-mat)
[Submitted on 2 May 2016 (v1), last revised 1 Nov 2016 (this version, v3)]

Title:Universal trade-off relation between power and efficiency for heat engines

Authors:Naoto Shiraishi, Keiji Saito, Hal Tasaki
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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.
Comments: 15 pages, 2 figures. This paper is a revised version of https://arxiv.org/abs/1602.03645, now withdrawn
Subjects: Statistical Mechanics (cond-mat.stat-mech)
Cite as: arXiv:1605.00356 [cond-mat.stat-mech]
  (or arXiv:1605.00356v3 [cond-mat.stat-mech] for this version)
  https://doi.org/10.48550/arXiv.1605.00356
Journal reference: Phys. Rev. Lett. 117, 190601 (2016)
Related DOI: https://doi.org/10.1103/PhysRevLett.117.190601

Submission history

From: Naoto Shiraishi [view email]
[v1] Mon, 2 May 2016 05:45:50 UTC (118 KB)
[v2] Thu, 4 Aug 2016 09:48:01 UTC (119 KB)
[v3] Tue, 1 Nov 2016 04:38:04 UTC (119 KB)
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