For the random collision process characterized by: t = average time between random collisions dt = probability of a collision in the short time dt: A) If t' = average time to the last collision (i.e., averaged over all possible time snapshots of an e-) use Pa, n+1 (t) d t = e-t/ = probability (the time between two collisions is between t and t + dt) B) Similarly, calculate the average time t" to the next collision. C) Drude thought of regular collisions spaced at t: 3t 4т 5t t' = t" so, t'+ t" = t 2 here +
For the random collision process characterized by: t = average time between random collisions dt = probability of a collision in the short time dt: A) If t' = average time to the last collision (i.e., averaged over all possible time snapshots of an e-) use Pa, n+1 (t) d t = e-t/ = probability (the time between two collisions is between t and t + dt) B) Similarly, calculate the average time t" to the next collision. C) Drude thought of regular collisions spaced at t: 3t 4т 5t t' = t" so, t'+ t" = t 2 here +
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Transcribed Image Text:For the random collision process characterized by:
t = average time between random collisions
dt
= probability of a collision in the short time dt:
A) If t' = average time to the last collision (i.e., averaged over all possible time snapshots of an
e-)
use Pa, n+1 (t) d t = e-t/ = probability (the time between two
collisions is between t and t + dt)
B) Similarly, calculate the average time t" to the next collision.
C) Drude thought of regular collisions spaced at t:
3t
4т
5t
t' = t"
so, t'+ t" = t
2
here
+
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