TY - JOUR
T1 - Universal Trade-Off Relation between Power and Efficiency for Heat Engines
AU - Shiraishi, Naoto
AU - Saito, Keiji
AU - Tasaki, Hal
N1 - Funding Information:
It is a pleasure to thank Takashi Hara, for discussions and his essential contribution to the present work. We also thank Kay Brandner, Tatsuhiko Koike, Takashi Mori, and Hiroyasu Tajima for useful discussions, and Shin-ichi Sasa and Yohei Nakayama for useful comments on the Letter. The present work was supported by Grant-in-Aid for JSPS Fellows No.26-7602 (N.S.) and JSPS Grants-in-Aid for Scientific Research No.JP26400404 (K.S.) and No.JP16H02211 (K.S. and H.T.).
Publisher Copyright:
© 2016 American Physical Society.
PY - 2016/10/31
Y1 - 2016/10/31
N2 - 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.
AB - 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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U2 - 10.1103/PhysRevLett.117.190601
DO - 10.1103/PhysRevLett.117.190601
M3 - Article
AN - SCOPUS:84994620540
SN - 0031-9007
VL - 117
JO - Physical review letters
JF - Physical review letters
IS - 19
M1 - 190601
ER -