Scaling of speeds - Revision history

Apm: /* Related */ added link

2023-01-16T07:46:20Z

Related: added link

← Older revision		Revision as of 09:46, 16 January 2023
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	== Related ==		== Related ==

	* [[Same relative deflections across scales]].		* '''[[Same relative deflections across scales]]'''
	* [[Lower stiffness of smaller machinery]]		* [[Lower stiffness of smaller machinery]]
			* '''[[Higher throughput of smaller machinery]]'''

Apm: /* Scaling of speeds in natural systems */ a bit => notably

2023-01-16T07:44:24Z

Scaling of speeds in natural systems: a bit => notably

← Older revision		Revision as of 09:44, 16 January 2023
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	* There is the scaling of the speed of insect wings.		* There is the scaling of the speed of insect wings.
	* There is the scaling of speeds imparted by viscous drag when moving in liquids (which is much higher than dynamic friction in [[crystolecule]] bearings).		* There is the scaling of speeds imparted by viscous drag when moving in liquids (which is much higher than dynamic friction in [[crystolecule]] bearings).
	* There is the scaling of speeds in biological metabolism (which deviates ~~a bit~~ from what is desctibed on the page [[higher throughput of smaller machinery]]).		* There is the scaling of speeds in biological metabolism (which deviates notably from what is desctibed on the page [[higher throughput of smaller machinery]]).
	* There is exploitation of diffusion transport (which is not free of energy dissipation!) {{wikitodo\|Derive the scaling law assuming both transport distance and block size being at the scale L. (pseudo)speeds should drop rapidly with scaleL}}. Unless charged ions in a field speeds cannot be accelerated here. Well, reduced dimensionality of transport can accelerate (pseudo)speeds.		* There is exploitation of diffusion transport (which is not free of energy dissipation!) {{wikitodo\|Derive the scaling law assuming both transport distance and block size being at the scale L. (pseudo)speeds should drop rapidly with scaleL}}. Unless charged ions in a field speeds cannot be accelerated here. Well, reduced dimensionality of transport can accelerate (pseudo)speeds.

Apm: /* Scaling of speeds in natural systems */

2023-01-16T07:43:20Z

Scaling of speeds in natural systems

← Older revision		Revision as of 09:43, 16 January 2023
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	Note that as natural systems work quite differently, natural scaling laws (for speed across scales) differing from aboves consideration do not idicate that aboves considerations are wrong.		Note that as natural systems work quite differently, natural scaling laws (for speed across scales) differing from aboves consideration do not idicate that aboves considerations are wrong.

	{{wikitodo\|~~to cover~~ in more detail}}		{{wikitodo\|Cover the below points in more detail eventually.}}

	* There is the scaling of the speed of insect wings.		* There is the scaling of the speed of insect wings.

Apm: /* Constant speeds as a very crude first approximation */ typofix

2023-01-16T07:40:30Z

Constant speeds as a very crude first approximation: typofix

← Older revision		Revision as of 09:40, 16 January 2023
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	Despite actual parctical systems will not adhere to this scaling,		Despite actual parctical systems will not adhere to this scaling,
	this is still good to look at first as it gives a clear-cut scaling law		this is still good to look at first as it gives a clear-cut scaling law
	as a ~~startingvpoint~~ for further thinking.		as a starting point for further thinking.

	== More realistically but less accurately - some slowdown ==		== More realistically but less accurately - some slowdown ==

Apm: /* Constant speeds as a very crude first approximation */

2023-01-16T07:39:49Z

Constant speeds as a very crude first approximation

← Older revision		Revision as of 09:39, 16 January 2023
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	A crude first approximation as a starting point seem to be		A crude first approximation as a starting point seem to be
	[[same relative deflections across scales]].		"[[same relative deflections across scales]]".
	This leads to keeping speeds constant across scales and acccordingly to		This leads to keeping speeds constant across scales and acccordingly to
	linearly rising frequencies.		linearly rising frequencies.

Apm: /* Scaling of speeds in natural systems */

2023-01-16T07:38:51Z

Scaling of speeds in natural systems

← Older revision		Revision as of 09:38, 16 January 2023
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	== Scaling of speeds in natural systems ==		== Scaling of speeds in natural systems ==

			Note that as natural systems work quite differently, natural scaling laws (for speed across scales) differing from aboves consideration do not idicate that aboves considerations are wrong.

	{{wikitodo\|to cover in more detail}}		{{wikitodo\|to cover in more detail}}
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	* There is the scaling of speeds in biological metabolism (which deviates a bit from what is desctibed on the page [[higher throughput of smaller machinery]]).		* There is the scaling of speeds in biological metabolism (which deviates a bit from what is desctibed on the page [[higher throughput of smaller machinery]]).
	* There is exploitation of diffusion transport (which is not free of energy dissipation!) {{wikitodo\|Derive the scaling law assuming both transport distance and block size being at the scale L. (pseudo)speeds should drop rapidly with scaleL}}. Unless charged ions in a field speeds cannot be accelerated here. Well, reduced dimensionality of transport can accelerate (pseudo)speeds.		* There is exploitation of diffusion transport (which is not free of energy dissipation!) {{wikitodo\|Derive the scaling law assuming both transport distance and block size being at the scale L. (pseudo)speeds should drop rapidly with scaleL}}. Unless charged ions in a field speeds cannot be accelerated here. Well, reduced dimensionality of transport can accelerate (pseudo)speeds.

	~~Note that as natural systems work quite differently, natural scaling laws (for speed across scales) differing from aboves consideration do not idicate that aboves considerations are wrong.~~

	== Related ==		== Related ==

Apm: /* Scaling of speeds in natural systems */ added note to prevent misinterpretation

2023-01-16T07:37:59Z

Scaling of speeds in natural systems: added note to prevent misinterpretation

← Older revision		Revision as of 09:37, 16 January 2023
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	* There is the scaling of speeds in biological metabolism (which deviates a bit from what is desctibed on the page [[higher throughput of smaller machinery]]).		* There is the scaling of speeds in biological metabolism (which deviates a bit from what is desctibed on the page [[higher throughput of smaller machinery]]).
	* There is exploitation of diffusion transport (which is not free of energy dissipation!) {{wikitodo\|Derive the scaling law assuming both transport distance and block size being at the scale L. (pseudo)speeds should drop rapidly with scaleL}}. Unless charged ions in a field speeds cannot be accelerated here. Well, reduced dimensionality of transport can accelerate (pseudo)speeds.		* There is exploitation of diffusion transport (which is not free of energy dissipation!) {{wikitodo\|Derive the scaling law assuming both transport distance and block size being at the scale L. (pseudo)speeds should drop rapidly with scaleL}}. Unless charged ions in a field speeds cannot be accelerated here. Well, reduced dimensionality of transport can accelerate (pseudo)speeds.

			Note that as natural systems work quite differently, natural scaling laws (for speed across scales) differing from aboves consideration do not idicate that aboves considerations are wrong.

	== Related ==		== Related ==

Apm: removed the stub marker

2023-01-16T07:33:09Z

removed the stub marker

← Older revision		Revision as of 09:33, 16 January 2023
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	~~{{Stub}}~~

	'''Question:''' When it comes to [[macroscale style machinery at the nanoscale]], <br>		'''Question:''' When it comes to [[macroscale style machinery at the nanoscale]], <br>
	what is the most natural (optimal) scaling for speeds ascross scales?		what is the most natural (optimal) scaling for speeds ascross scales?

Apm: canged intro question

2023-01-16T07:32:39Z

canged intro question

← Older revision		Revision as of 09:32, 16 January 2023
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	{{Stub}}		{{Stub}}

	Q: ~~What is the most natural scaling for speeds ascross scales when~~ it comes to		'''Question:''' When it comes to [[macroscale style machinery at the nanoscale]], <br>
	[[macroscale style machinery at the nanoscale]]?		what is the most natural (optimal) scaling for speeds ascross scales?

	== Constant speeds as a very crude first approximation ==		== Constant speeds as a very crude first approximation ==

Apm: /* More realistically but less accurately - some slowdown */ highlighted important parts and fixed link

2023-01-16T07:28:44Z

More realistically but less accurately - some slowdown: highlighted important parts and fixed link

← Older revision		Revision as of 09:28, 16 January 2023
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	Nanomachinery though incurs dynamic friction quadratically growing with speeds.		Nanomachinery though incurs dynamic friction quadratically growing with speeds.
	Friction levels per area are quite significant at m/s scales.		Friction levels per area are quite significant at m/s scales.
	Thus proposed speeds for future [[gem-gum]] based [[advanced productive nanosystem]]s		Thus '''proposed speeds for future [[gem-gum]] based [[advanced productive nanosystem]]s are more down in the low mm/s range.'''
	are more down in the low mm/s range.

	As a slowdown needs to be compensated with more machinery		As a slowdown needs to be compensated with more machinery
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	[[higher throughput of smaller machinery]].		[[higher throughput of smaller machinery]].

	As this is not a clear cut scaling law		As '''this is not a clear cut scaling law'''
	this is not a good starting point for thinking despite		this is not a good starting point for thinking despite
	being much closer to actually proposed systems.		being much closer to actually proposed systems.

	The problem is that friction in nanoscale bearings and		The problem is that friction in nanoscale bearings and
	friction in macroscale bearings are quite different in scaling		friction in macroscale bearings are quite different in scaling
	and it's difficult to reliably predict the transition.		and it's difficult to reliably predict the transition.
	Or even the behaviour of future macroscale bearings based on [[gem-gum]] [[~~metamatwrial~~]]s.		Or even the behaviour of future macroscale bearings based on [[gem-gum]] [[metamaterial]]s.

	The proposed slowdown is roughly a thosand x (from m/s to mm/s)		The proposed slowdown is roughly a thosand x (from m/s to mm/s)
	aross a scale of a million x (from m to nm).		aross a scale of a million x (from m to nm).
	This gives roughly/perhaps/maybe a scaling of speeds with the squareroot of scale.		This gives roughly/perhaps/'''maybe a scaling of speeds with the squareroot of scale.'''
	More insights may arise.		More insights may arise.