Geodesic
Numerical model of temperature-dependent thermal conductivity in $M_{1-x}R_x\mathrm{F}_{2+x}$ heterovalent solid solution nanocomposites where $M$ stands for alkaline-earth metals and $R$ for rare-earth metals
Nanosistemy: fizika, himiâ, matematika, Tome 15 (2024) no. 2, pp. 255-259.

Voir la notice de l'article provenant de la source Math-Net.Ru

We propose a mathematical model to fit the temperature-dependent thermal conductivity of $M_{1-x}R_x\mathrm{F}_{2+x}$ heterovalent solid solutions where $M$ stands for alkaline-earth metals and $R$ for rare-earth metals. These solid solutions experience composition-driven transition from the crystal-like to glass-like behavior of thermal conductivity. When tested on $\mathrm{Ca}_{1-x}\mathrm{Yb}_x\mathrm{F}_{2+x}$ solid solutions, the model showed a potential for use with an option for further improvements.
Keywords: thermal conductivity, thermal resistance, temperature dependence, mathematical model.
Mots-clés : solid solution 
@article{NANO_2024_15_2_a11,
     author = {Pavel A. Popov and Alexander V. Shchelokov and Pavel P. Fedorov},
     title = {Numerical model of temperature-dependent thermal conductivity in $M_{1-x}R_x\mathrm{F}_{2+x}$ heterovalent solid solution nanocomposites where $M$ stands for alkaline-earth metals and $R$ for rare-earth metals},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {255--259},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2024_15_2_a11/}
}
TY  - JOUR
AU  - Pavel A. Popov
AU  - Alexander V. Shchelokov
AU  - Pavel P. Fedorov
TI  - Numerical model of temperature-dependent thermal conductivity in $M_{1-x}R_x\mathrm{F}_{2+x}$ heterovalent solid solution nanocomposites where $M$ stands for alkaline-earth metals and $R$ for rare-earth metals
JO  - Nanosistemy: fizika, himiâ, matematika
PY  - 2024
SP  - 255
EP  - 259
VL  - 15
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/NANO_2024_15_2_a11/
LA  - en
ID  - NANO_2024_15_2_a11
ER  - 
%0 Journal Article
%A Pavel A. Popov
%A Alexander V. Shchelokov
%A Pavel P. Fedorov
%T Numerical model of temperature-dependent thermal conductivity in $M_{1-x}R_x\mathrm{F}_{2+x}$ heterovalent solid solution nanocomposites where $M$ stands for alkaline-earth metals and $R$ for rare-earth metals
%J Nanosistemy: fizika, himiâ, matematika
%D 2024
%P 255-259
%V 15
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/NANO_2024_15_2_a11/
%G en
%F NANO_2024_15_2_a11
Pavel A. Popov; Alexander V. Shchelokov; Pavel P. Fedorov. Numerical model of temperature-dependent thermal conductivity in $M_{1-x}R_x\mathrm{F}_{2+x}$ heterovalent solid solution nanocomposites where $M$ stands for alkaline-earth metals and $R$ for rare-earth metals. Nanosistemy: fizika, himiâ, matematika, Tome 15 (2024) no. 2, pp. 255-259. http://geodesic.mathdoc.fr/item/NANO_2024_15_2_a11/