Mean-free-path concept in polycrystalline metals

Electron mean free path in elemental metals

The electron mean free path k and carrier relaxation time s of the twenty most conductive elemental metals are determined by numerical integration over the Fermi surface obtained from first-principles, using constant k or s approximations and wave-vector dependent Fermi velocities vf (k). The average vf deviates considerably from the free-electron prediction, even for elements with spherical Fe...

Electron mean free paths in the alkali metals.

Electron "Free Path" and Supra-Conductivity in Metals.

3 I have pointed out (Proc. Nat. Acad. Sci., 13, 43-46 (1927)) that the dual theory of electric conduction permits us to suppose the free to have the heat energy of gas molecules while the mean heat energy of all the conducting electrons may be much less. 4 In the first draft of his theory Sommerfeld, using, I believe, purely kinetic considerations, deduced Volta potential-differences which app...

Effective carrier mean-free path in confined geometries

The properties of transport in confined geometries has received substantial attention in recent years (see, e.g., Ref. 1). In this letter, the effects of boundary scattering on transport in small samples is examined. Our goal is to provide concise expressions for the effect of boundaries on transport without explicitly evaluating the Boltzmann equation. We present analytical expressions for the...

Mean free path effects in the shock-implosion problem

The effects of finite Knudsen number in the problem of a cylindrically imploding shock wave in a monatomic gas are investigated. Numerical solutions of the flow field are obtained with initial conditions in the ranges 1.25 M0 5 and 0.005 Kn0 0.1 using the direct simulation Monte Carlo method. Results show that as Kn0 decreases and M0 increases, the maximum implosion temperature scales increasin...