Maxwell-boltzman distribution under gallilean transformation

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SUMMARY

The discussion focuses on the behavior of the Maxwell-Boltzmann velocity distribution law under Galilean transformation. It is established that the transformation modifies the velocity of particles by applying the equation v' = v - u, where v' is the transformed velocity, v is the original velocity, and u is the net average velocity of the system. This adjustment results in a shift of the entire distribution, maintaining its shape but altering its mean velocity. The implications of this transformation are crucial for understanding statistical mechanics in classical physics.

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  • Understanding of Maxwell-Boltzmann distribution
  • Familiarity with Galilean transformation
  • Basic knowledge of statistical mechanics
  • Concept of velocity in classical physics
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Could anyone tell me what happens to the Maxwell-Boltzmann velocity distribution law under
Galilean transformation!
 
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Should be simply v -> v-u, so that particles have net average velocity u.
 

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