Statistical mechanics, bernoulli's forumula - collision freqency

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SUMMARY

The discussion centers on the concept of collision frequency in statistical mechanics, specifically referencing Kubo's formula: $$collision\ frequency = \frac{1}{\frac{l}{v_{x}}}=\frac{p_{x}}{ml}$$. The user clarifies the misunderstanding regarding the round-trip distance a molecule travels between collisions, emphasizing that it should account for the distance to the opposite wall. This insight is crucial for accurately calculating collision frequency in a given container.

PREREQUISITES
  • Understanding of statistical mechanics principles
  • Familiarity with Kubo's formula
  • Knowledge of molecular velocity and container dimensions
  • Basic grasp of collision theory
NEXT STEPS
  • Study Kubo's statistical mechanics framework in detail
  • Explore the derivation and applications of collision frequency formulas
  • Learn about molecular dynamics simulations to visualize collision events
  • Investigate the impact of container size on molecular collision rates
USEFUL FOR

This discussion is beneficial for students and researchers in physics, particularly those focusing on statistical mechanics, molecular dynamics, and collision theory.

AirTycoon
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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 ?
 
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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 ?
 

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