English

A model of Josephson Junctions on Boson Systems - Currents and Entropy Production Rate -

Mathematical Physics 2018-10-23 v4 math.MP

Abstract

Non-equilibrium steady states (NESS), in the sense of D. Ruelle, of Boson systems with Bose--Einstein condensation (BEC) are investigated with the aid of the C^*-algebraic method. The model consists of a quantum particle and several bosonic reservoirs. We show that the mean entropy production rate is strictly positive, independent of phase differences provided that the temperatures or the chemical potentials of reservoirs are different. Moreover, Josephson currents occur without entropy production, if the temperatures and the chemical potentials of reservoirs are identical.

Keywords

Cite

@article{arxiv.1801.09187,
  title  = {A model of Josephson Junctions on Boson Systems - Currents and Entropy Production Rate -},
  author = {Tomohiro Kanda},
  journal= {arXiv preprint arXiv:1801.09187},
  year   = {2018}
}

Comments

21 pages, 2 figure, second major revised version, the title changed from "Non-equilibrium steady states for a Harmonic oscillator interacting several Boson system - Currents and Entropy production rate -"