title: Universal Trade-Off Relation between Power and Efficiency for Heat Engines.
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.
authors.affiliation: Department of Basic Science, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8902, Japan.
authors.forename: Naoto
authors.initials: N
authors.lastname: Shiraishi
authors.affiliation: Department of Physics, Keio University, 3-14-1 Hiyoshi, Yokohama 223-8522, Japan.
authors.forename: Keiji
authors.initials: K
authors.lastname: Saito
authors.affiliation: Department of Physics, Gakushuin University, 1-5-1 Mejiro, Toshima-ku, Tokyo 171-8588, Japan.
authors.forename: Hal
authors.initials: H
authors.lastname: Tasaki