Abstract

This paper shows that Onsager reciprocal relations remain valid even in presence of a generic magnetic field so that the time reversal symmetry is broken. The authors prove that breaking the time reversal symmetry does not remove the thermodynamic constraints imposed by the Onsager relations on heat to work conversion. In particular, the possibility of an engine operating at the Carnot efficiency with finite power is ruled out on purely thermodynamic grounds

Highlights

  • Onsager reciprocal relations [1,2,3] are a cornerstone in nonequilibrium statistical physics

  • We provide analytical and numerical evidence that Onsager reciprocal relations remain valid for systems with broken time-reversal symmetry as is typically the case when a generic magnetic field is present

  • Our results show that the Onsager reciprocal relations are much more general than previously assumed

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Summary

Rapid Communications

Rongxiang Luo ,1 Giuliano Benenti ,2,3,4 Giulio Casati, and Jiao Wang 1 1Department of Physics, Key Laboratory of Low Dimensional Condensed Matter Physics (Department of Education of Fujian Province), and Jiujiang Research Institute, Xiamen University, Xiamen 361005, Fujian, China 2Center for Nonlinear and Complex Systems, Dipartimento di Scienza e Alta Tecnologia, Università degli Studi dell’Insubria, via Valleggio 11, 22100 Como, Italy 3Istituto Nazionale di Fisica Nucleare, Sezione di Milano, via Celoria 16, 20133 Milano, Italy. We provide analytical and numerical evidence that Onsager reciprocal relations remain valid for systems with broken time-reversal symmetry as is typically the case when a generic magnetic field is present. Our results show that the Onsager reciprocal relations are much more general than previously assumed. The fundamental constraints they impose on heat to work conversion remain valid with broken time-reversal symmetry. The possibility of an engine operating at the Carnot efficiency with finite power is ruled out on purely thermodynamic grounds

Introduction
Published by the American Physical Society
The MPC simplifies the numerical simulation of interacting
Discussion and conclusions
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