"The relation between relaxation time, mean free path, collision time and drift velocity— pitfalls and a proposal for an approach illustrating the essentials"
, in European Journal of Physics, Vol. 30, Institute of Physics Publishing, Seite(n) doi:10.1088/0143-0807/30/1/001, 2009
The relation between relaxation time, mean free path, collision time and drift velocity— pitfalls and a proposal for an approach illustrating the essentials
Sprache des Titels:
The collisionmodel is frequently introduced to describe electronic conductivity
in solids. Depending on the chosen approach, the introduction of the collision
time can lead to erroneous results for the average velocity of the electrons, which
enters the expression for the electrical conductivity. In other textbooks, correct
results are obtained by erroneous arguments. In this contribution we propose a
more detailed presentation involving the proper consideration of the underlying
collision statistics. The paper addresses instructors teaching elementary solid
state physics at the university level and graduate students aiming at gaining
increased insight into the subtleties associated with the collision model.