Re: [math-fun] coldest place on earth
If you generalize "temperature" as in statistical thermodynamics, then you should be able to do better. "temperature" is essentially the change in energy content w.r.t. change information content. Modern computer memory systems are quite good at storing huge amounts of information with very little energy, so they should have a very low "temperature". In this case the "shielding" is the height of the barriers. Basically, computers couldn't possibly work unless the "effective temperature" (in statistical thermodynamics terms) of the information stored in their circuits is exceedingly low. Otherwise, they'd constantly be making mistakes & be useless as a digital computer. At 11:38 AM 12/10/2013, Eugene Salamin wrote:
This is the coldest place on Earth under natural conditions. The coldest place on Earth was in a physics experiment at a temperature of 50 nK. This was touted as the coldest place in the universe.
I wonder if this can be quantified...? Charles Greathouse Analyst/Programmer Case Western Reserve University On Tue, Dec 10, 2013 at 3:53 PM, Henry Baker <hbaker1@pipeline.com> wrote:
If you generalize "temperature" as in statistical thermodynamics, then you should be able to do better.
"temperature" is essentially the change in energy content w.r.t. change information content.
Modern computer memory systems are quite good at storing huge amounts of information with very little energy, so they should have a very low "temperature".
In this case the "shielding" is the height of the barriers.
Basically, computers couldn't possibly work unless the "effective temperature" (in statistical thermodynamics terms) of the information stored in their circuits is exceedingly low. Otherwise, they'd constantly be making mistakes & be useless as a digital computer.
At 11:38 AM 12/10/2013, Eugene Salamin wrote:
This is the coldest place on Earth under natural conditions. The coldest place on Earth was in a physics experiment at a temperature of 50 nK. This was touted as the coldest place in the universe.
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On Tue, Dec 10, 2013 at 1:53 PM, Henry Baker <hbaker1@pipeline.com> wrote:
If you generalize "temperature" as in statistical thermodynamics, then you should be able to do better.
It's pretty straightforward to get negative temperatures that way. http://en.wikipedia.org/wiki/Negative_absolute_temperature#Lasers
"temperature" is essentially the change in energy content w.r.t. change information content.
Modern computer memory systems are quite good at storing huge amounts of information with very little energy, so they should have a very low "temperature".
In this case the "shielding" is the height of the barriers.
Basically, computers couldn't possibly work unless the "effective temperature" (in statistical thermodynamics terms) of the information stored in their circuits is exceedingly low. Otherwise, they'd constantly be making mistakes & be useless as a digital computer.
At 11:38 AM 12/10/2013, Eugene Salamin wrote:
This is the coldest place on Earth under natural conditions. The coldest place on Earth was in a physics experiment at a temperature of 50 nK. This was touted as the coldest place in the universe.
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-- Mike Stay - metaweta@gmail.com http://www.cs.auckland.ac.nz/~mike http://reperiendi.wordpress.com
Negative temperatures are possible only for a system whose energy levels are bounded from above. This is the case with spins in a magnetic field. Cool the atoms in a strong field, and all the spins go into the lower state. Then reverse the field quickly, and now all the spins are in the higher state, and plugging the populations into the Boltzmann equation and solving for temperature, it's negative. Negative temperature is actually above infinity, and this situation is possible only because there is no yet higher energy level whose presence would mess up the Boltzmann equation. The negative spin temperature decays by coupling to the crystal vibrations. The Boltzmann equation states that the population of an energy level with energy E is proportional to exp(-E/kT), where T is temperature, and k = 1.38e-23 J/K is Boltzmann's constant. -- Gene
________________________________ From: Mike Stay <metaweta@gmail.com> To: math-fun <math-fun@mailman.xmission.com> Cc: Eugene Salamin <gene_salamin@yahoo.com> Sent: Tuesday, December 10, 2013 1:08 PM Subject: Re: [math-fun] coldest place on earth
On Tue, Dec 10, 2013 at 1:53 PM, Henry Baker <hbaker1@pipeline.com> wrote:
If you generalize "temperature" as in statistical thermodynamics, then you should be able to do better.
It's pretty straightforward to get negative temperatures that way. http://en.wikipedia.org/wiki/Negative_absolute_temperature#Lasers
"temperature" is essentially the change in energy content w.r.t. change information content.
Modern computer memory systems are quite good at storing huge amounts of information with very little energy, so they should have a very low "temperature".
In this case the "shielding" is the height of the barriers.
Basically, computers couldn't possibly work unless the "effective temperature" (in statistical thermodynamics terms) of the information stored in their circuits is exceedingly low. Otherwise, they'd constantly be making mistakes & be useless as a digital computer.
At 11:38 AM 12/10/2013, Eugene Salamin wrote:
This is the coldest place on Earth under natural conditions. The coldest place on Earth was in a physics experiment at a temperature of 50 nK. This was touted as the coldest place in the universe.
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
-- Mike Stay - metaweta@gmail.com http://www.cs.auckland.ac.nz/~mike http://reperiendi.wordpress.com
You seem to be using the term "temperature" in a different sense from "that which is measured with a thermometer". All computers that I'm aware of generate heat, and in fact heat removal is the major obstacle to faster CPU frequency. In your sense, the coldest place on Earth is a petroglyph, a stone carving. -- Gene
________________________________ From: Henry Baker <hbaker1@pipeline.com> To: Eugene Salamin <gene_salamin@yahoo.com>; math-fun <math-fun@mailman.xmission.com> Sent: Tuesday, December 10, 2013 12:53 PM Subject: Re: [math-fun] coldest place on earth
If you generalize "temperature" as in statistical thermodynamics, then you should be able to do better.
"temperature" is essentially the change in energy content w.r.t. change information content.
Modern computer memory systems are quite good at storing huge amounts of information with very little energy, so they should have a very low "temperature".
In this case the "shielding" is the height of the barriers.
Basically, computers couldn't possibly work unless the "effective temperature" (in statistical thermodynamics terms) of the information stored in their circuits is exceedingly low. Otherwise, they'd constantly be making mistakes & be useless as a digital computer.
At 11:38 AM 12/10/2013, Eugene Salamin wrote:
This is the coldest place on Earth under natural conditions. The coldest place on Earth was in a physics experiment at a temperature of 50 nK. This was touted as the coldest place in the universe.
participants (4)
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Charles Greathouse -
Eugene Salamin -
Henry Baker -
Mike Stay