Diffusion on the Fermi-Surface and the Conductivity of Metals

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概要

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• The transport phenomena in metals, such as the electrical and the thermal conductivity, are treated as a kind of the diffusion of electrons on the Fermi-surface. Grüneisen's well-known formula is gained for the electrical conductivity $\sigma$, and as for the thermal conductivity $\kappa$ the expression $\kappa{=}\sigma T\frac{\pi^{2}}{3}\left(\frac{k}{e}\right)^{2}\bigg/\left\{1+\left(\frac{\theta}{T}\right)^{2}\left(\frac{K}{q_{0}}\right)^{2}\int_{0}^{\theta/T}\frac{x^{3}dx}{\mathrm{e}^{x}-\mathrm{e}^{-x}}\bigg/\int_{0}^{\theta/T}\frac{x^{5}dx}{(\mathrm{e}^{x}-1)(1-\mathrm{e}^{-x})}\right\}$ is obtained. In this equation $\theta$ denotes the Debye temperature, $K$ and $q_{0}$ are the maximum wave numbers of electrons and phonons respectively.

• INSTITUTE OF PURE AND APPLIED PHYSICSの論文
• 1953-05-25

著者

• TODA Morikazu

  Institute of Physics, Tokyo University of Education

• Toda Morikazu

  Instittes Of Physics Tokyo Bunrika University And Tokyo University

関連論文

• Notes on Fermi and Bose Statistics
• Chopping Phenomenon of a Nonlinear System
• A Soliton and Two Solitons in an Exponential Lattice and Related Equations
• On the Liquid He^3 and its Mixture with He^4
• Molecular Theory of Liquid Helium
• Development of the Theory of a Nonlinear Lattice
• An Evidence for the Existence of Kirkwood-Alder Transition
• The Exact N-Soliton Solution of the Korteweg-de Vries Equation
• On the Relation between Fermions and Bosons
• Diffusion on the Fermi-Surface and the Conductivity of Metals

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