Thermal conductance of the coupled-rotator chain: Influence of temperature and size
Makaleler > Tam Makale · 2017
Yazarlar: Yunyun LI, Nianbei LI, Uğur TIRNAKLI, Baowen LI, Constantino TSALLIS
EPL (Europhysics Letters), SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2017, cilt 117, ss 60004-60004
DOI: 10.1209/0295-5075/117/60004
Özet
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 T N 1 / 3 with q ≃ 1.55 . Consequently, its T → ∞ asymptotic behavior is given by T − α with α = 2 / ( q − 1 ) ≃ 3.64 .