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Difference between revisions of "mean free time"

(Created page with "{{title|Mean Free Time}} '''Mean free time''' or '''conductivity relaxation time''' (<math>\tau</math>) is the average time between scattering events. For example, the average...")
 
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{{title|Mean Free Time}}
 
{{title|Mean Free Time}}
'''Mean free time''' or '''conductivity relaxation time''' (<math>\tau</math>) is the average time between scattering events. For example, the average time between collisions in a [[semiconductor]].
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'''Mean free time''' or '''collision time''' or '''conductivity relaxation time''' (<math>\tau</math>) is the average time between scattering events. For example, the average time between collisions in a [[semiconductor]].
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== Overview ==
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[[Charge carriers]] in a material are in random thermal motion with average velocity <math>\langle v \rangle</math>. When an electric field <math>E</math> is applied, the carriers acquire [[drift velocity]] <math>v_d</math> in the same direction, opposite to the field. Constant collisions with lattice ions means that the the gained kinetic energy is lost pretty frequently. The '''mean free time''' <math>\tau</math> is the average time before a randomly picked electron makes it next collision. Note that collisions are random, so <math>\tau</math> does not depend on the elapsed time since prior collision.
  
  
 
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Revision as of 16:14, 23 November 2017

Mean free time or collision time or conductivity relaxation time ( Equation tau ) is the average time between scattering events. For example, the average time between collisions in a semiconductor.

Overview

Charge carriers in a material are in random thermal motion with average velocity Equation mathematical left-angle v mathematical right-angle . When an electric field Equation upper E is applied, the carriers acquire drift velocity Equation v Subscript d in the same direction, opposite to the field. Constant collisions with lattice ions means that the the gained kinetic energy is lost pretty frequently. The mean free time Equation tau is the average time before a randomly picked electron makes it next collision. Note that collisions are random, so Equation tau does not depend on the elapsed time since prior collision.


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