Clausius inequality correct for negative temperature

AI Thread Summary
The Clausius inequality is generally considered correct, but its application to negative temperatures requires careful consideration. While the second law of thermodynamics holds, the definitions and implications of negative temperatures, particularly in spin systems and lasers, challenge traditional interpretations. Scientists have not achieved absolute zero, making the concept of negative absolute temperatures complex and not universally defined. Adaptations to the second law may be necessary when dealing with systems exhibiting negative temperatures. Overall, the discussion highlights the need for a nuanced understanding of thermodynamic principles in these contexts.
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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