Heat transfering from Cold to Hot?

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SUMMARY

The discussion centers on the theoretical possibility of heat transfer from a colder atom to a hotter atom, challenging conventional thermodynamic principles. Drawing from Kittel's thermal physics, the conversation explores entropy and the statistical properties of systems with small particle numbers (small N). It posits that under certain conditions, such as specific collisions, a slower-moving atom could transfer energy to a faster-moving atom, suggesting that non-standard heat transfer scenarios may exist.

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  • Understanding of Kittel's thermal physics principles
  • Basic knowledge of entropy and statistical mechanics
  • Familiarity with kinetic theory of gases
  • Concept of particle interactions at the atomic level
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  • Research the implications of small N systems in thermodynamics
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azaharak
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Is it possible for heat to transfer from a colder atom (slower moving) to a hotter atom (faster moving)

I know that hot and cold are not really appropriate words to be using here.


My reasoning is from kittel thermal physics,

From an entropy standpoint,
The most probable configurations will dominate the statisical properties of the combined system, most probable confiigurations are ones that maxmimize the entropy.

For Large N, there is a sharp peak of configurations that have maximal entropy, but what about for small N?

Is it possble to conceive two small N systems where when combined, the maximal entropy corresponds to a situation where the colder object actually gives heat to the warmer object, opposite of the normal directional flow of heat?


Isn't is possible for a collision between a slow moving atom and a fast moving atom to result in the faster moving atom gaining more kinetic or thermal energy. From a probabilistic picture, this should technically be possible. Isn't this the same idea?


Thanks
 
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Here's how a slow moving particle can give energy to a faster moving one:

http://4.media.tumblr.com/PrbyDnKQQk69dz9tpx8QZc1ao1_500.png
 
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