Simulating Gas Expansion: 3 Questions Answered

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SUMMARY

This discussion centers on simulating gas expansion, specifically addressing the concepts of mean free path, velocity distribution, and collision dynamics. The term "mean free path" refers to the average distance a molecule travels before colliding with another molecule. The Maxwell-Boltzmann distribution is recommended for assigning velocities to gas molecules rather than using a uniform average speed. For simulating collisions, it is essential to calculate the probability of a collision and determine which molecule is hit based on random selection.

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  • Understanding of "Mean Free Path" in gas dynamics
  • Familiarity with the Maxwell-Boltzmann distribution
  • Basic knowledge of probability theory in simulations
  • Experience with collision detection algorithms
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Tom83B
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Hi, I'm trying to simulate different expansions and processes in gas and I have 3 questions:

If the average distance, that a molecule goes without hitting another one is l (by the way, could you please tell me what this distance is called in english?) and x is the distance it's already passed without hitting another molecule, is the probability, that it hits a molecule at the current distance (\frac{1}{2})^{x/l}? (taken from the assumtion, that it passes the distance l with a 50% probability)

Is it useful (/common practice) to distribute the velocities of the molecules correspondently with the Maxwell-Boltzmann distribution or can I just give every molecule the same, average speed?

How do I proceed with the collision of two molecules? From what I've heard I want to calculate the probability that it hits another one, get a random number from 0 to 1 and find out if it hit something. But what next? How do I choose the molecule that it has hit?
 
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