固体中の多数の電子のランダム運動平均自由時間に対する2種類の定義

概要

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In the classical theory for electric conductivity and mobility in solid, electrons are assumed to migrate randomly and their mean free tune is defined. There are two types of the definitions, one by Uemura and the other by Shockley. They are different by a factor 2 each other. Shockley obtained it from the probability density, but Uemura did not. So Shockley's definition is considered to be valid. In the Langevin equation, it is necessary to obtain the mean free time from a random moment, but not from the moment of the collision, to the next collision. Uemura's definition for this is intuitively understandable. The theory in which the mean free time is used is approximate. Based on these, both definitions are considered to be meaningful. Therefore, one of them can be used, upon understanding its meaning.
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