I remember I read somewhere about the boltzmann distribution that it

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The Boltzmann distribution is primarily applicable at high temperatures where classical physics dominates. At low temperatures, quantum effects become significant, leading to the need for Bose-Einstein or Fermi-Dirac statistics, depending on the particle type. In high-temperature scenarios, the kinetic energy of particles overshadows quantum mechanical influences. This shift in statistical behavior is crucial for accurately describing particle distributions in different thermal conditions. Understanding these distinctions is essential for studying thermodynamic systems.
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I remember I read somewhere about the Boltzmann distribution that it is only valid for high temperatures. Why is that?
 
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Thread 'Question about pressure of a liquid'
I am looking at pressure in liquids and I am testing my idea. The vertical tube is 100m, the contraption is filled with water. The vertical tube is very thin(maybe 1mm^2 cross section). The area of the base is ~100m^2. Will he top half be launched in the air if suddenly it cracked?- assuming its light enough. I want to test my idea that if I had a thin long ruber tube that I lifted up, then the pressure at "red lines" will be high and that the $force = pressure * area$ would be massive...
I feel it should be solvable we just need to find a perfect pattern, and there will be a general pattern since the forces acting are based on a single function, so..... you can't actually say it is unsolvable right? Cause imaging 3 bodies actually existed somwhere in this universe then nature isn't gonna wait till we predict it! And yea I have checked in many places that tiny changes cause large changes so it becomes chaos........ but still I just can't accept that it is impossible to solve...
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