The Variational Principle and the Phonon Boltzmann Equation
Journal Title: Mechanics, Materials Science & Engineering Journal - Year 2017, Vol 8, Issue 1
Abstract
The thermal transport in a solid happens when the material is subjected to a thermal gradient. If free electrons are absent, the thermal transport is due to the phonons, the quasiparticles corresponding to the vibrations of the atoms of the crystal. The equation that describes this transport is the phonon Boltzmann equation. Here we show how to solve it by means of the variational principle.
Authors and Affiliations
Amelia Carolina Sparavigna
Comparative Evaluation Of Binary And Conventional Static VAR Compensators
This paper presents a comparative study between conventional and binary static VAR compensator SVCs. These SVCs are designed for a 27.5-kV railway system. This paper provides the ratings, constructions, principles of ope...
The Variational Principle and the Phonon Boltzmann Equation
The thermal transport in a solid happens when the material is subjected to a thermal gradient. If free electrons are absent, the thermal transport is due to the phonons, the quasiparticles corresponding to the vibrations...
Microcapillary Features in Silicon Alloyed High-Strength Cast Iron
Present study explores features of silicon micro capillary in alloyed high-strength cast iron with nodular graphite (ductile iron) produced in metal molds. It identified the nature and mechanism of micro liquation of sil...
Structural and Dielectric Properties of Mg(1-x)CaxTiO3 (x=0.7, 0.8) Ceramic Materials
Calcium Magnesium titanate ceramic materials with the molar formula Mg(1-x)CaxTiO3 in which the x varies from 0.7 to 0.8 were synthesized by conventional Solid State Reaction method. The XRD pattern revealed that the sam...
Passivation of Titanium Oxide in Polyethylene Matrices using Polyelectrolytes as Titanium Dioxide Surface Coating
One of the major challenges of the polyolefins nowadays is the ability of those to resist weathering conditions, specially the photodegradation process that suffer any polyolefin. A common way to prevent this, is the use...