Planck and Maxwell-boltzman distribution

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SUMMARY

The discussion establishes a clear relationship between the Planck distribution and the Maxwell-Boltzmann distribution. The Planck distribution applies to indistinguishable particles, while the Maxwell-Boltzmann distribution pertains to distinguishable particles. This distinction is crucial in statistical mechanics and was highlighted in the context of a Statistical Modelling course. For further reference, the details can be found on pages 148-149 of "Probability Models" by Ross.

PREREQUISITES
  • Understanding of statistical mechanics concepts
  • Familiarity with Planck distribution
  • Knowledge of Maxwell-Boltzmann distribution
  • Basic principles of indistinguishable vs. distinguishable particles
NEXT STEPS
  • Study the derivation of the Planck distribution in quantum mechanics
  • Explore the applications of Maxwell-Boltzmann distribution in classical thermodynamics
  • Read "Probability Models" by Ross for in-depth statistical modeling techniques
  • Investigate the implications of particle indistinguishability in statistical physics
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Students and professionals in physics, particularly those focusing on statistical mechanics and thermodynamics, as well as individuals interested in statistical modeling techniques.

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Is there a relation between these two distributions ?
 
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ElmorshedyDr said:
Is there a relation between these two distributions ?

I can't say its something that these days the detail is familiar to me, being stuff from the dim past, but the Plank distribution is what you get if the particles are in principle indistinguishable. The Boltzmann-Maxwell distribution is when they are in principle distinguishable.

Interesting thing is I first came on this not in Physics but as an exercise in a Statistical Modelling course.

Added Later:
Couldn't resit refreshing my memory about it - it's on page 148-149 of Ross - Probability Models

Thanks
Bill
 
Last edited:

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