Modeling diffusion of heat in solids

  • Anne M. Hofmeister

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

2 Scopus citations

Abstract

Recent work discloses shortcomings in models for heat transport properties. Some errors involve simple numerical factors, but others are substantial, such as not accounting for the finite lifetimes of interactions, nor weighting thermal conductivity in summations, nor realizing that thermal diffusivity depends on thickness. This chapter discusses the consequences in view of the ambiguities contributed by multiplied parameters in models, and provides an improved model for heat transport in solids. We show that radiative diffusion describes all heat transfer, when the association of various processes in matter with limited frequency ranges of light is addressed. Dimensionless thermal conductivity of solids from 0 to ~300K, including the cryogenic peak, is fit by one parameter; but including high temperature data requires more. Theoretical pressure derivatives agree well with reliable data. To better understand heat transport requires measuring transport properties as a function of length and spectra at low frequencies and temperatures.

Original languageEnglish
Title of host publicationMeasurements, Mechanisms, and Models of Heat Transport
PublisherElsevier
Pages359-398
Number of pages40
ISBN (Electronic)9780128099810
ISBN (Print)9780128099827
DOIs
StatePublished - Jan 1 2018

Keywords

  • Attenuation
  • Inelasticity
  • Integral formulation
  • Lifetimes
  • Mean free paths
  • Radiative diffusion
  • Refraction
  • Speeds
  • Summations
  • Vibrations

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