Modern uses of classical statistical mechanics?

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Discussion Overview

The discussion revolves around the modern applications and developments of classical statistical mechanics, particularly in relation to various physical phenomena and theories. Participants explore its relevance in fields such as condensed matter physics, black-body radiation, and polymer physics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant notes the application of Fermi-Dirac and Bose-Einstein statistics in condensed matter and neutron star equilibrium equations, seeking further modern developments in classical statistical mechanics.
  • Another participant highlights the significance of the Planck blackbody function as a crucial result of statistical physics and references a related thread for further reading.
  • A question is raised regarding the classification of black-body radiation as an example of Bose-Einstein statistics, with a mention of potential divergences arising from classical statistical mechanics.
  • Further clarification is provided that the derivation of the Planck law utilizes Bose-Einstein statistics, although it involves several steps, and references are made to additional resources for details.
  • One participant asserts that the behavior of polymers is fundamentally based on classical statistical mechanics, citing a specific book that discusses the role of entropy in polymer conformations.

Areas of Agreement / Disagreement

Participants express differing views on the applications of classical statistical mechanics, particularly regarding black-body radiation and its statistical treatment. The discussion remains unresolved with multiple competing perspectives on the topic.

Contextual Notes

Some statements depend on specific definitions and interpretations of statistical mechanics, and there are unresolved aspects regarding the derivation steps and classifications of phenomena like black-body radiation.

andresB
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Most of the cases when I see applications of statistical mechanics is when Fermi-Dirac or Bose-Einstein statistic are used in condensed matter or the equilibrium equation of neutron stars.

Besides the Poisson-Boltzmann equation, I would like to know what are the modern developments/applications of classical statistical mechanics.
 
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Isn't black-body radiation an example of Bose-Einstein?, If I remember correctly, the use of classical statistical mechanics lead to a divergence.
 
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The behavior of polymers is firmly rooted in classical stat mech.
https://en.wikipedia.org/wiki/Polymer_physics
The opening chapter(s) of de Gennes's book on polymer physics has a beautiful discussion of the role entropy plays in polymer conformations.
 

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