Negative heat capacity and thermal reservoir

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SUMMARY

A negative heat capacity object increases in temperature when it radiates energy and decreases in temperature when it absorbs energy. Such an object cannot achieve thermal equilibrium with a positive temperature reservoir because energy transfer occurs from the negative temperature system to the positive temperature system, leading to a decrease in entropy. The discussion clarifies that thermal equilibrium represents a state of maximal entropy, and systems with differing temperature signs will always move away from equilibrium.

PREREQUISITES
  • Understanding of thermodynamic concepts, specifically heat capacity
  • Familiarity with the laws of thermodynamics, particularly entropy
  • Knowledge of thermal equilibrium principles
  • Basic grasp of temperature scales and their implications
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  • Research the implications of negative heat capacity in thermodynamics
  • Explore the relationship between temperature, energy transfer, and entropy
  • Study examples of systems with negative heat capacity
  • Investigate thermal equilibrium and its significance in physical systems
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Students and professionals in physics, particularly those focusing on thermodynamics, as well as researchers exploring unconventional thermal systems.

Afonso Campos
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Say you have an object with a negative heat capacity. This means that the object increases in temperature as it radiates energy and decreases in temperature as it absorbs energy.

I don't understand why this object cannot be in thermal equilbrium with a reservoir.

Any help would be greatly appreciated.
 
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If it is contact with something with positive energy, the negative temperature system will transfer energy to the positive temperature system. The entropy always increases as long as the sign of the temperature is different - but thermal equilibrium is the state of maximal entropy.
 
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Another way to look at what mfb said is suppose you aren't at equilibrium. Does the system move toward it or away from it?
 
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Thank you. I understand it now.
 

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