Maxwell/Maxwell-Boltzmann Distribution

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The Maxwell distribution applies to distinguishable particles and describes their velocity distribution, while the Maxwell-Boltzmann distribution is used for indistinguishable particles in a dilute gas, focusing on energy distribution. Both distributions share a similar mathematical form but differ in their applications and particle characteristics. The distinction is important, as the Maxwell-Boltzmann distribution accounts for the statistical behavior of particles in thermodynamic systems. Some users note that the terms are often used interchangeably, which can lead to confusion. Understanding these differences is crucial for accurate application in physics and statistical mechanics.
PsiPhi
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G'day,

I was just wondering what the difference was between a Maxwell(M) distribution and a Maxwell-Boltzmann(MB) distribution.

All I can gather at the moment is that both distributions have a similar form. A M distribution is for distinguishable particles, MB distribution is for a dilute gas and indistinguishable particles (fermions or bosons). I think that's all of it.

Any thoughts from forum members if I am missing anything crucial in there?

Thanks,

Kelvin.
 
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