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

Naoto Shiraishi, Keiji Saito, Hal Tasaki

Research output: Contribution to journalArticlepeer-review

198 Citations (Scopus)


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.

Original languageEnglish
Article number190601
JournalPhysical review letters
Issue number19
Publication statusPublished - 2016 Oct 31

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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