scholarly journals Lattice vibrations in the Frenkel-Kontorova Model. II. Thermal conductivity

2015 ◽  
Vol 91 (22) ◽  
Author(s):  
Qingping Meng ◽  
Lijun Wu ◽  
David O. Welch ◽  
Yimei Zhu
Keyword(s):  
Thermal Conductivity ◽  
Lattice Vibrations ◽  
Kontorova Model

scholarly journals Investigation of thermal conductivity of single-wall carbon nanotubes

2011 ◽  
Vol 15 (2) ◽  
pp. 565-570 ◽  
Author(s):  
Mahmoud Jafari ◽  
Majid Vaezzadeh ◽  
Momhamad Mansouri ◽  
Abazar Hajnorouzi
Keyword(s):  
Thermal Conductivity ◽  
Carbon Nanotubes ◽  
Theoretical Model ◽  
Potential Energy ◽  
Experimental Results ◽  
Single Wall Carbon Nanotubes ◽  
Lattice Vibrations ◽  
Single Wall Carbon ◽  
Thermal Potential ◽  
Conductivity Behavior

In this paper, the thermal conductivity of Single-wall carbon nanotubes (SWCNTs) is determined by lattice vibrations (phonons) and free elections. The thermal conductivity of SWCNTs is modeled up to 8-300 K and the observed deviations in K-T figures of SWCNTs are explained in terms of phonon vibrations models. An suitable theoretical model is shown for thermal conductivity behavior with respect to temperature and is generalized for experimental results. This model enables us to calculate thermal conductivity SWNTs and Thermal Potential Energy (TPE).

Thermal equilibrium at temperatures below 1° absolute

1938 ◽  
Vol 34 (2) ◽  
pp. 301-307 ◽  
Author(s):  
E. S. Shire ◽  
J. F. Allen
Keyword(s):  
Thermal Conductivity ◽  
Liquid Helium ◽  
Thermal Equilibrium ◽  
Lattice Vibrations ◽  
Ammonium Alum

By measuring the resistance of a phosphor bronze wire in thermal equilibrium via various substances with crystals of iron ammonium alum it is shown that the time for thermal equilibrium between the ionic magnets of the salt and its lattice vibrations is less than 0·5 sec. for all temperatures above 0·025° T*. When liquid helium or a german silver tube forms part of the cooled portion of the apparatus, the time for equilibrium is increased to a few seconds for temperatures below 0·4° K. It appears possible that the thermal conductivity of german silver is less than 10−8 cal. cm.−1 sec.−1 degree−1 below 0·05° T*, and there are indications that the thermal conductivity of liquid helium at temperatures below 0·3° K. is small compared with its value at 2° K.

scholarly journals Фононная теплопроводность и фазовые равновесия в наночастицах системы Bi-Sb фрактальной формы

2019 ◽  
Vol 89 (4) ◽  
pp. 556
Author(s):  
А.В. Шишулин ◽  
В.Б. Федосеев ◽  
А.В. Шишулина
Keyword(s):  
Thermal Conductivity ◽  
Mutual Arrangement ◽  
Homogeneous State ◽  
Lattice Vibrations ◽  
Nanoparticle Shape ◽  
Phonon Component ◽  
Complex Morphology ◽  
Coexisting Phases ◽  
Shape Of Nanoparticles ◽  
Mutual Solubilities

AbstractThe thermal conductivity component associated with lattice vibrations is one of the quantities determining the thermoelectric activity of a material. We have simulated the dependences of phase composition and the phonon component of the thermal conductivity associated with it on the shape of nanoparticles of a Bi–Sb alloy with an equiatomic composition and with core–shell configuration. The shape of a particle is simulated by a coefficient corresponding to the extent of deviation of the particle shape from spherical or by its fractal dimension. It is shown that mutual solubilities of components depend on the nanoparticle shape and on the mutual arrangement of coexisting phases, and the thermodynamic equilibrium position for particles with complex morphology corresponds to the homogeneous state. Homogenization of a nanoparticle reduces the phonon component of its thermal conductivity by 70–80%.

The thermal and electrical conductivity of sodium at low temperatures

1951 ◽  
Vol 209 (1098) ◽  
pp. 368-375 ◽  
Keyword(s):  
Thermal Conductivity ◽  
Electrical Conductivity ◽  
Low Temperatures ◽  
Lorenz Curve ◽  
Theoretical Work ◽  
Lattice Vibrations ◽  
Lorenz Number ◽  
Recent Theoretical Work ◽  
Metallic Conduction

Modem theories of metallic conduction, based on the quantum interaction of electrons with the lattice vibrations, predict a considerable variation of Lorenz number with temperature. We have carried out measurements of the thermal and electrical conductivity of two rather pure specimens of sodium continuously from 90 to ~ 4° K and derived an experimental Lorenz curve. Considerable deviations from theory are found; these may in part be due to departure of the lattice vibrations from the Debye spectrum. The thermal conductivity, in particular, is compared with the most recent theoretical work, and the predicted minimum at ~ 0.25Θ has not been found.

Properties of IR-active lattice vibrations in the vicinity of kinks in the Frenkel-Kontorova model

JETP Letters ◽  
1997 ◽  
Vol 65 (10) ◽  
pp. 785-790
Author(s):  
V. M. Burlakov ◽  
M. A. Moskalenko
Keyword(s):  
Lattice Vibrations ◽  
Kontorova Model

Thermoelectric Properties of AgBiTe2-Ag2Te Composite

1998 ◽  
Vol 545 ◽  
Author(s):  
Y. Takigawa ◽  
T. Imoto ◽  
T. Sakakibara ◽  
K. Kurosawa
Keyword(s):  
Thermal Conductivity ◽  
Composite Materials ◽  
Grain Boundaries ◽  
Thermoelectric Properties ◽  
Lattice Thermal Conductivity ◽  
Phonon Scattering ◽  
Lattice Vibrations ◽  
Thermoelectric Devices ◽  
Long Wavelength ◽  
Prepared Composite

AbstractWe prepared composite materials of AgBiTe2 with several contents of Ag2Te small-size grains for applications to thermoelectric devices. By enhancing long-wavelength phonon scattering at the grain boundaries, lattice thermal conductivity (thermal conductivity due to lattice vibrations) decreased 30% and thus the thermoelectric characteristics were significantly improved.

The thermal conductivity of germanium and silicon between 2 an d 300° K

1957 ◽  
Vol 238 (1215) ◽  
pp. 502-514 ◽  
Keyword(s):  
Thermal Conductivity ◽  
Room Temperature ◽  
Energy Levels ◽  
Silicon Crystal ◽  
Lattice Vibrations ◽  
Temperature Conductivity ◽  
Room Temperature Conductivity ◽  
Group Iii ◽  
Impurity Atoms ◽  
Type Silicon

The thermal conductivity of single crystals o f pure n -type germanium and of p -type germanium containing from 10 14 to 10 19 group III impurity atoms per cm 3 has been measured from 2 to 90° K . In some cases the readings have been extended up to room temperature. Whereas the low- temperature conductivity of the pure specimens is that which one would expect from a dielectric crystal, the addition of even very amounts of group III impurity decreases the conductivity very considerably and alters its temperature dependence. It is suggested that the extra thermal resistance introduced is due to the scattering of the lattice vibrations by the electrons or holes in the impurity energy levels. The theory of such scattering has been worked out by Ziman, and the experimental results are shown to be in fair agreement with this theory. A pure n -type silicon single crystal and a gold-doped p -type silicon crystal show a behaviour similar to the germanium. The room-temperature conductivity of germanium and silicon is 0⋅64 and 1⋅45 watt units respectively.

Scaling and the thermal conductivity of the Frenkel-Kontorova model

2008 ◽  
Vol 78 (6) ◽  
Author(s):  
Zhi-Gang Shao ◽  
Lei Yang ◽  
Wei-Rong Zhong ◽  
Da-Hai He ◽  
Bambi Hu
Keyword(s):  
Thermal Conductivity ◽  
Kontorova Model
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