What is negative heat capacity ?

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Negative heat capacity occurs when adding energy to a system results in a decrease in temperature, which seems counterintuitive and challenges traditional thermodynamic principles. Black holes are a primary example, as they exhibit this phenomenon due to their unique gravitational properties. Additionally, certain paramagnetic systems at low temperatures can also display negative heat capacity under constant pressure. Gravitationally bound systems, not limited to black holes, generally demonstrate this behavior as well. Understanding these concepts requires a deeper exploration of thermodynamics and gravitational physics.
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what is" negative heat capacity"?

what is "negative heat capacity"? what is the example of it?
 
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I can't imagine there would be such a case! For a negative heat capacity would imply that as you put more energy into a system, the system gets colder. Or as you take energy away from a system the system gets hotter. Both of these scenarios violate conservation of energy. AFAIK.

But, I haven't studied all of physics, so correct me if I'm wrong...
 


1) Negative heat capacity is simply when as you put energy into a system, its temperature decreases
2) One example is a black hole... I cannot think of any others.
 


i believe there are certain paramagnetic systems that have negative heat capacity (with constant pressure) at low temperatures.
 


Any gravitationally bound system will have negative heat capacity - it doesn't have to be a black hole.
 
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nealh149 said:
i believe there are certain paramagnetic systems that have negative heat capacity (with constant pressure) at low temperatures.

Can you give a reference for this? I thought gravitationally bound systems were the only example, and would like to learn more.
 
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