Reciprocative friction in gem-gum technology

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One may also want to call this more fancily "reciprocative energy dissipation".
This applies to any reciprocative motion both linear reciprocative and rotative reciprocative.
Essence is back and forth motion that requires accelerations and jerk.

(wiki-TODO: Add explanation of physics, math, and reasonable example values (last one hardest).)
(wiki-TODO: How does it scale and how far is that scaling reliable. Within or out of quantized regime and such.)

Mechanisms

Akhiezer damping

Physics

(wiki-TODO: {{{1}}})

Maths & Examples

(wiki-TODO: {{{1}}})

Scaling & limits of model

Specifics to diamond (compared to metals or doped silicon).
It seems as if the the absence of dense electronic states in undoped diamond should reduce electron-phonon-coupling significantly. If so then by how much?
Having large amplitudes corresponds to many phonons bosonically overlapping in a few closeby modes.
Multi phonon processes may start to matter. (wiki-TODO: {{{1}}})

Non recuperated phase shift

In some but not all cases this could be partially recuperated.

Physics

(wiki-TODO: {{{1}}})

Maths & Examples

(wiki-TODO: {{{1}}})

Scaling & limits of model

(wiki-TODO: {{{1}}})

Accidental heatpump

Physics

– Shifting a thick stiff plunger-shaft in a tight thin walled sleeve
the sleeves walls can't wobble around so much anymore and thus
thermal motion degrees of freedom get "squeezed out" and things get hot.
Reversible computing analogy: This basically equates to setting a random bit to a known state (pushed outwards).
Push spacial entropy in the system out into thermal entropy out of the system.

– Pulling a thick stiff plunger-shaft out of the sleeve
thermal motion degrees of freedom get opened up again and
suck in heat from the environment, making things get cold.
Reversible computing analogy: This basically equates to deleting a known bit (pushed outwards) by rando data from thermal noise.
Fill spacial order with entropy into the system tapping it from thermal entropy of the environment.

If the thermal energy gradient is not immediately recuperated
(nigh impossible due to: high at the nanoscale surface to volume ratio & high heat conductivity of diamond)
that energy is immediately dissipated and made permanently unrecoverable.

Possible counter-strategies:
– stiffer sleeves
– less tight fitting sleeves

Maths & Examples

(wiki-TODO: {{{1}}})

Scaling & limits of model

It seems this should scale linearly over a very very wide range of speeds. Including proposed ~1mm/s scale.
Nontrivial things might happen near absolute zero where phonon modes freeze out.
Especially for diamond.

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