Re: Imperfections of classical thermodynamics

I used 'for me' to express informally intuitions, which are often much
more valuable than formal definitions.
Trapping energy is impossible?
Look at ATP - there is trapped a lot of it for a few magnitudes more
time than in kinetic/rotational/vibration energy.
Placing energy there is not random, but uses extremely sophisticated
localized mechanism (enzyme).

Quantum mechanics alone says that every eigenfunction only 'rotates',
that density function remains unchanged ... to get random behavior we
have to approximate everything by averaging over space.
This kind of approximations are called mean field - they forget about
correlations...

From enzyme point of view ...
It has places that attract electromagnetically some molecules, and
moving parts to adsorb/release some energy, so finally energy is
transferred from one molecule to another.
Enzymes don't 'look' for molecules as You're writing, but only purely
stochastically meet them and use dipoles (1/r^2) when they are close
to finally attach.

About the flashlight - after infinite time everything is perfectly
localized - all energy is in kinetic energy of mirrors.

While crystallization energy is released freely and quickly diffuse,
increasing temperature.
But this is highly localized reaction - microscopic physics doesn't
forbid mechanisms that would put this energy in more stable form, like
ATP ... using some enzyme.
When molecule leaves crystal, it drain required energy form heat -
reduce temperature.

About nanoantennas, this kind of radiation is very weakly emitted by
all atoms in give temperature.
But antenna works is different way - uses high energy electron which
goes through it creating electromagnetic wave.
Their energy is so high that it's very unlikely that such electron
would be created spontaneously - the antenna absorbs much more then it
emits.
.

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