Thermal conductance of the coupled-rotator chain: Influence of temperature and size


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LI Y., LI N., Tirnakli U. , LI B., TSALLIS C.

EPL, vol.117, no.6, 2017 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 117 Issue: 6
  • Publication Date: 2017
  • Doi Number: 10.1209/0295-5075/117/60004
  • Title of Journal : EPL

Abstract

The thermal conductance of a homogeneous 1D nonlinear lattice system with neareast-neighbor interactions has recently been computationally studied in detail by Li et al. (Eur. Phys. J. B, 88 (2015) 182), where its power-law dependence on temperature T for high temperatures is shown. Here, we address its entire temperature dependence, in addition to its dependence on the size N of the system. We obtain a neat data collapse for arbitrary temperatures and system sizes, and numerically show that the thermal conductance curve is quite satisfactorily described by a fat-tailed q-Gaussian dependence on TN1/3 with q similar or equal to 1.55. Consequently, its T -> infinity asymptotic behavior is given by T-alpha with alpha = 2/(q - 1) similar or equal to 3.64. Copyright (C) EPLA, 2017