Clausius inequality correct for negative temperature

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SUMMARY

The Clausius inequality is upheld even in the context of negative temperatures, although its application requires adaptation for specific systems such as spin systems and lasers. The second law of thermodynamics remains valid, with the total entropy change for reversible processes being zero (ΔStotal=0) and greater than the heat transfer divided by temperature for irreversible processes (ΔSTotal>qirrev/T). Negative absolute temperatures are not defined in traditional thermodynamics, but recent studies have explored their implications, necessitating a reevaluation of thermodynamic principles in these scenarios.

PREREQUISITES
  • Understanding of the second law of thermodynamics
  • Familiarity with entropy concepts
  • Knowledge of reversible and irreversible processes
  • Basic principles of statistical mechanics
NEXT STEPS
  • Research the implications of negative temperatures in spin systems
  • Study the adaptations of thermodynamic laws for systems with negative temperatures
  • Explore the role of lasers in achieving negative temperatures
  • Read the referenced article from Scientific American on thermodynamics and negative temperatures
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Physicists, thermodynamics researchers, and anyone studying advanced statistical mechanics and entropy in non-traditional systems.

persia7
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is clausius inequality correct for negative temperature?, if you see the proof of it in positive temperature its not correct.
 
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persia7 said:
is clausius inequality correct for negative temperature?, if you see the proof of it in positive temperature its not correct.

Clausius statement is just a statement of second law of thermodynamics.

Its correct.

For reversible process,

ΔStotal=0

For irreversible process:

ΔSTotal>qirrev/T

And scientists are not able to achieve exactly zero absolute temperatures. Negative absolute temperature is not even defined !
 
sankalpmittal, negative temperatures have long been introduced, especially in spin systems and lasers, and some month ago even for translational degrees of freedom.
There is indeed some need to adapt the various statements of the second law when systems with negative temperature are present.
See, e.g. this old article from scientific american:
http://www.osti.gov/energycitations/product.biblio.jsp?osti_id=6796844
 

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