Difference between Maxwell-Boltzmann and Maxwell Distribtion?

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SUMMARY

The Maxwell-Boltzmann Distribution is a statistical distribution that describes the distribution of energies among molecules in a gas, illustrating the variation in molecular speeds and energies. In contrast, the Maxwell Distribution is a simpler model that does not account for the energy spread among molecules. The Maxwell-Boltzmann Distribution provides a more accurate representation of molecular behavior in kinetic theory, particularly in terms of energy distribution, making it essential for understanding gas dynamics.

PREREQUISITES
  • Understanding of kinetic theory of gases
  • Familiarity with statistical mechanics
  • Basic knowledge of thermodynamics
  • Concept of molecular energy distribution
NEXT STEPS
  • Study the derivation of the Maxwell-Boltzmann Distribution
  • Explore applications of the Maxwell-Boltzmann Distribution in real gas scenarios
  • Learn about the implications of energy distribution on gas reactions
  • Investigate the differences between classical and quantum statistical distributions
USEFUL FOR

Students of physics, researchers in thermodynamics, and anyone interested in the statistical behavior of gases will benefit from this discussion.

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Homework Statement


What is the difference between Maxwell-Boltzmann and Maxwell distributions
in the kinetic theory of gases?

The Attempt at a Solution



I know that the Maxwell-Boltzmann Distribution shows the energy of molecules against the number. What this shows is a spread of the energies contained within the sample of molecules, where some molecules have a high energy and others low, we can also see the amount of energy most molecules have etc.

I also know that the Maxwell-Boltzmann Distribution is an improvement in the description of energies within a system over the Maxwell Distribution, but am not too sure what the Maxwell Distribution actually is, or how to describe the differences.

If anyone could push me into the correct direction, I will be greatful.
 
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