Adiabatic Invariant: Modifying Entropy Derivation by Laura

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SUMMARY

Laura presented a modified derivation of entropy from phase space volume for an ideal gas, correcting inaccuracies found in the Wikipedia entry on adiabatic invariants. The discussion highlights the absence of quantum mechanics in her classical approach, emphasizing the importance of clarity in modifications made to established theories. Participants expressed interest in the implications of adiabatic invariants in various physical contexts, such as the behavior of a shortening pendulum. The need for further clarification on the specific changes made to the derivation was noted.

PREREQUISITES
  • Understanding of classical thermodynamics
  • Familiarity with phase space concepts
  • Knowledge of adiabatic processes
  • Basic principles of entropy
NEXT STEPS
  • Research classical thermodynamics and its laws
  • Explore phase space volume calculations in thermodynamic systems
  • Study the implications of adiabatic invariants in various physical systems
  • Investigate the role of quantum mechanics in entropy derivations
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Physicists, thermodynamics students, and researchers interested in classical mechanics and entropy derivations will benefit from this discussion.

lark
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I modified an incorrect derivation of entropy from phase space volume of a gas in the Wikipedia entry
http://en.wikipedia.org/wiki/Adiabatic_invariant "Adiabatic expansion of an ideal gas"
and I'd like to know if my modified derivation is also incorrect somehow. I realize it doesn't include QM, but I tried to write a sensible classical derivation.
Adiabatic invariants are fascinating to me - I just got exposed to them and interested in the different contexts where they appear. Slowly shortening pendulum, etc.
Laura
 
Science news on Phys.org
It is not clear what was changed.
 

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