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On the Relationship between Electrical Conductivity and Electromigration in Liquid Metals
Version 1
: Received: 18 May 2023 / Approved: 19 May 2023 / Online: 19 May 2023 (15:35:07 CEST)
A peer-reviewed article of this Preprint also exists.
Belashchenko, D.K. The Relationship between Electrical Conductivity and Electromigration in Liquid Metals. Dynamics 2023, 3, 405-424. Belashchenko, D.K. The Relationship between Electrical Conductivity and Electromigration in Liquid Metals. Dynamics 2023, 3, 405-424.
Abstract
The phenomena of electrical conductivity and electromigration in metallic systems are related, since in both cases the basic physical process is the scattering of conduction electrons by metal ions. Numerous searches have been made for equations connecting the conductivity with electromigration. In the case of a liquid metal, when using the Drude-Sommerfeld (DS) conduc-tivity equation, it was not possible to obtain a quantitative relationship between these phenomena, which would be correct. Attempts to find such a relationship when taking into ac-count the N. Mott correction (g - factor) in the DS equation were unsuccessful. This article proposes a different correction (b - factor) to the DS equation, which takes into account the pos-sibility of varying the momentum transferred by the conduction electron to a metal ion during the scattering. This correction allows to establish a quantitative relationship between conductivity and electromigration, as well as between electromigration in various binary systems with common components, in agreement with experiment. The proposed theory describes well, in particular, two- and multi-component metal systems of any concentration (the consistency rule for triangles A-B, B-C, C-A). The value of b - factor smoothly changes depending on the heat of vaporization of the metal, per unit volume.
Keywords
conductivity; electromigration; effective charge; metal solutions; Drude-Sommerfeld; consistency rule
Subject
Physical Sciences, Theoretical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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