English

Efficiency Statistics and Bounds for Systems with Broken Time-Reversal Symmetry

Statistical Mechanics 2015-07-23 v4 Mesoscale and Nanoscale Physics

Abstract

Universal properties of the statistics of stochastic efficiency for mesoscopic time-reversal symmetry broken energy transducers are revealed in the Gaussian approximation. We also discuss how the second law of thermodynamics restricts the statistics of stochastic efficiency. The tight-coupling (reversible) limit becomes unfavorable, characterized by an infinitely broad distribution of efficiency at {\em all times}, when time-reversal symmetry breaking leads to an asymmetric Onsager response matrix. The underlying physics is demonstrated through the integer quantum Hall effect and further elaborated in a triple-quantum-dot three-terminal thermoelectric engine.

Keywords

Cite

@article{arxiv.1503.04310,
  title  = {Efficiency Statistics and Bounds for Systems with Broken Time-Reversal Symmetry},
  author = {Jian-Hua Jiang and Bijay Kumar Agarwalla and Dvira Segal},
  journal= {arXiv preprint arXiv:1503.04310},
  year   = {2015}
}

Comments

5+8 pages 10 figures