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

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


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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. B88 (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 $TN^{1/3}$  with $q \simeq 1.55$ . Consequently, its $T \to\infty$  asymptotic behavior is given by $T^{-\alpha}$  with $\alpha=2/(q-1) \simeq 3.64$ .

 

Y, Li, N. Li, U. Tirnakli, B. Li, C. TsallisThermal conductance of the coupled-rotator chain: Influence of temperature and size, EPL 117 (2017) 60004