Heat transfer by phonons in the generalized transport model
Journal Title: Вісник Одеського державного екологічного університету - Year 2017, Vol 22, Issue 22
Abstract
On the basis of Landauer – Datta – Lundstrom transport model the generalized model of heat transfer by phonons is formulated. Similarly to the Fermi window for electron conductivity the concept of the Fermi window for phonon conductivity is introduced and used to obtain the general expression for the lattice thermal conductivity with the quantum of thermoconductance appearing at the very beginning. There are emphasized the similarity and differences in the construction of the theory of electron conductivity and the theory of heat conduction. There are discussed the thermal conductivity of the conductors, the physical sense of proportionality between the thermal conductivity and specific heat capacity at constant volume, the relationship between the transmission coefficient and the mean-free-path, the calculation of the number of phonon modes and density of phonon states, the Debye model of heat conductivity and scattering of phonons, the temperature dependence of the lattice thermal conductivity, the difference between the lattice thermal conductivity and electron conduction, and quantization of thermal conductivity. In the present review it is emphasized that the concepts used to describe the electron transport can be successfully transferred to the phonon transport. And in both cases the Landauer approach, generalized subsequently by Datta and Lundstrom, allows a quantitative description of transport processes in conductors of any dimension and in all modes of transport from diffusive to ballistic. Lattice thermal conductivity and electronic conductivity are described very similar as far as the shape of corresponding equations. There are, however, two significant differences related to the physics of electron and phonon processes which are also emphasized in the review.
Authors and Affiliations
Yu. A. Kruglyak, N. Z. Shtefan
Keywords
Related Articles
- EP ID EP328262
- DOI -
- Views 93
- Downloads 0
Testing of parameterizations of turbulence of the boundary layer of the atmosphere over the ocean surface
The article is devoted to testing of parameterizations of turbulent processes in the atmospheric boundary layer on the basis of different methods of closure of differentiation equations system over the ocean surface whic...
Assessment of the coastal anthropogenic pollution sources impact on water quality in north-western part of Black sea near Odessa
The assessment has been done on the base of the analysis of the data obtained in the last decade on indicators of water quality of the most problematic coastal anthropogenic sources impact causing the coastal water pollu...
Mode of the wind speed in Morocco in early XXI century
The energy system in Morocco is strongly dependent on external energy markets. Currently, Morocco imports more than 93% of energy. In 2009, the Moroccan Government has developed a National Energy Strategy containing ways...
Modelling of wind-induced circulation of water and water level denivellation in the Kuialnytskyi Lyman lagoon
Results of 3D hydrodynamic computations are presented to analyse the wind-induced circulation of water and the skewness in the heights of water level marks in the Kuialnytskyi Lyman Lagoon under stationary winds with the...
Zones of interactions within the near-surfase layer of the atmosphere in North Atlantic. November
To reveal the zones of active interaction between the atmosphere and the ocean in the North Atlantic and to determine the regions causing a significant impact on formation of features of climatic response regimes in the...