The science advisor must have been out that day
this post was submitted on 23 Sep 2023
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negative temperatures bay bee
Negative temperature means that the system loses entropy if you put more energy in. This means that negative temp is hotter than any positive temperature, in the sense that if you put two systems in thermal contact, heat will flow from negative to positive.
In the continuum of temperatures, positive absolute zero is the coldest, going up to positive infinity Kelvins. Then minus infinity Kelvins is just slightly hotter than positive infinity. Then it keeps going up to negative absolute zero, the hottest temperature.
These infinities keep cropping up because the reciprocal of temperature is actually the more fundamental physical quantity.
I'm interested in reading more about this. I'm looking at the Wikipedia page for "Thermodynamic beta" now. Is that what you're talking about?
Yes that's it. Fun fact: The entropy is basically the most fundamental thermodynamical quantity, but was discoverd long after temperature and energy. If that would not be the case, we might measure temperature in eV / kByte, since the unit of temperature is energy / entropy and the unit of entropy is information.
In a sense, the existence of the Boltzmann constant is a historical accident, because temperature and energy have been discovered after entropy.