English

Coefficient of performance under optimized figure of merit in minimally nonlinear irreversible refrigerator

Statistical Mechanics 2015-06-05 v4

Abstract

We apply the model of minimally nonlinear irreversible heat engines developed by Izumida and Okuda [EPL {\bf 97}, 10004 (2012)] to refrigerators. The model assumes extended Onsager relations including a new nonlinear term accounting for dissipation effects. The bounds for the optimized regime under an appropriate figure of merit and the tight-coupling condition are analyzed and successfully compared with those obtained previously for low-dissipation Carnot refrigerators in the finite-time thermodynamics framework. Besides, we study the bounds for the nontight-coupling case numerically. We also introduce a leaky low-dissipation Carnot refrigerator and show that it serves as an example of the minimally nonlinear irreversible refrigerator, by calculating its Onsager coefficients explicitly.

Keywords

Cite

@article{arxiv.1207.3390,
  title  = {Coefficient of performance under optimized figure of merit in minimally nonlinear irreversible refrigerator},
  author = {Y. Izumida and K. Okuda and A. Calvo Hernández and J. M. M. Roco},
  journal= {arXiv preprint arXiv:1207.3390},
  year   = {2015}
}

Comments

Typo in eq.(34) is fixed