Statistical mechanics, bernoulli's forumula - collision freqency

Click For Summary
The discussion centers on the concept of collision frequency in statistical mechanics, specifically referencing Kubo's formula. The formula indicates that collision frequency is derived from the ratio of momentum to the product of mass and distance. A clarification is made regarding the round-trip distance a molecule travels between collisions, emphasizing that it should account for the distance to only one wall. The participant realizes their mistake in counting the distance to both walls. The thread concludes with a question about whether to close the discussion.
AirTycoon
Messages
2
Reaction score
0
Hello,
I am having trouble understanding collision frequency in following discussion from Kubo,
EtOMYXp.png


$$collision\ frequency = \frac{1}{\frac{l}{v_{x}}}=\frac{p_{x}}{ml}$$

What am I missing ?
 
Physics news on Phys.org
Between two collisions against the same wall, a molecule must travel a round-trip distance equal to twice the width of the container.
 
ah. I was counting the opposite wall too. Thank You.

ps. Should I close this thread now ?
 
I built a device designed to brake angular velocity which seems to work based on below, i used a flexible shaft that could bow up and down so i could visually see what was happening for the prototypes. If you spin two wheels in opposite directions each with a magnitude of angular momentum L on a rigid shaft (equal magnitude opposite directions), then rotate the shaft at 90 degrees to the momentum vectors at constant angular velocity omega, then the resulting torques oppose each other...

Similar threads

Replies
1
Views
2K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
10
Views
3K
  • · Replies 4 ·
Replies
4
Views
887
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 4 ·
Replies
4
Views
5K
  • · Replies 24 ·
Replies
24
Views
2K