Are Statistical Ensembles Just Mathematical Tools or Realistic Concepts?

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SUMMARY

The discussion centers on the nature of statistical ensembles, debating whether they are merely mathematical tools or represent realistic concepts. Participants agree that statistical ensembles serve primarily as mathematical constructs, aiding in the description of statistical systems. McQuarrie's definition in "Statistical Mechanics" emphasizes that an ensemble is a mental or virtual collection of numerous systems that replicate a specific thermodynamic system on a macroscopic level.

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  • Understanding of statistical mechanics principles
  • Familiarity with McQuarrie's "Statistical Mechanics"
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parton
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Recently I was asked whether the concept of a statistical ensemble is actually realistic and I recognized that I can not really answer this question myself. I think that it is more a mathematical "tool", because of the probability nature rather than a realistic "thing", but still it helps us to describe statistical systems.

What do you think?
 
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I agree. McQuarrie (in Statistical Mechanics, which I have handy) describes an ensemble as a "(mental or virtual) collection of a very large number of systems, each constructed to be a replica on a thermodynamic (macroscopic) level of a particular thermodynamic system of interest."
 

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