Finite-size effect of the thermal conductivity in one dimensional chain

Autor: Tongli Wei, Yaojin Li, Jinxia Cheng, Chenglong Jia
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: New Journal of Physics, Vol 21, Iss 12, p 123003 (2019)
Druh dokumentu: article
ISSN: 1367-2630
DOI: 10.1088/1367-2630/ab5627
Popis: Finite-size effect of the thermal conductivity in one dimensional chain is theoretically investigated with a phenomenological model. Boundary temperature dropping and the spectrum-dependent linear temperature profile within the chain are given self-consistently at high temperatures. A general formula of thermal conductivity is presented and a good agreement with the molecular dynamics simulations is obtained. It is found that while ${\rm{d}}\tfrac{1}{\kappa }/{\rm{d}}\tfrac{1}{{L}}$ decreases with increasing of 1/ L monotonically, the well known linear dependence of thermal resistance 1/ κ on the reciprocal length 1/ L of systems is, however, valid only in two limit cases of $1/L\to \infty $ and/or $1/L\to 0$ .
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