On Sat, Jan 28, 2012 at 09:41:27PM -0800, meekerdb wrote:
> On 1/28/2012 3:42 PM, Russell Standish wrote:
> >On the other hand, if you just gave me the metallic platter from the
> >hard disk, and did not restrict in any way the technology used to read
> >and write the data, then in principle, the higher the temperature, the
> >more information is capable of being encoded on the disk.
> 
> I don't think this is quite right. A higher temperature means that
> there are more energy states available.  But the concept of
> 'temperature' implies that these are occupied in a random way
> (according to the micro-canonical ensemble). For us to read and
> write data requires that the act of reading or writing a bit moves
> the distribution of states in phase space enough that it is
> distinguishable from the random fluctuations due to temperature. 
>  So
> if the medium is hotter, you need to use more energy to read and
> write a bit.  This of course runs into the problems you note below.

Hence the requirement that technology not be fixed. It is a
theoretician's answer :).

> So in practice it is often colder systems that allow us to store
> more data because then we can use small energy differences to encode
> bits.

Absolutely! But at zero kelvin, the information storage capacity of the
device is precisely zero, so cooling only works to a certain point.

> 
> Brent
> 
> >
> >In practice, various phase transitions will make this more difficult
> >to achieve as temperature is increased. Passing the curie point, for
> >instance, will mean we can no longer rely on magnetism, although
> >presumably even below the curie point we can increase the information
> >storage in some other way (eg moving atoms around by an STM) and
> >ignoring the ferromagnetic behaviour. By the same token, passing the
> >freezing and boiling points will make it even harder - but still
> >doable with sufficiently advanced technology.
> >
> >>>> From an engineering viewpoint it looks a bit strange.
> >>>How so?
> >>>
> >>If engineers would take the statement "the maximum possible value
> >>for information increases with temperature" literally, they should
> >>operate a hard disk at higher temperatures (the higher the better
> >>according to such a statement). Yet this does not happens. Do you
> >>know why?
> >>
> >>In general we are surrounded devices that store information (hard
> >>discs, memory sticks, DVD, etc.). The information that these devices
> >>can store, I believe, is known with accuracy to one bit.
> >Because they're engineered that way. It would be rather inconvenient if
> >one's information storage varied with temperature.
> >
> >>Can you
> >>suggest a thermodynamic state which entropy gives us exactly that
> >>amount of information?
> >>
> >>Here would be again a question about temperature. If I operate my
> >>memory stick in some reasonable range of temperatures, the
> >>information it contains does not change. Yet, the entropy in my view
> >>changes.
> >Sure - because they're engineered that way, and they operate a long
> >way from the theoretical maximum storage capability of that
> >matter. What's the problem with that?
> >
> >>So these are my doubts for which I do not see an answer.
> >>
> >>Evgenii
> >>
> 
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Prof Russell Standish                  Phone 0425 253119 (mobile)
Principal, High Performance Coders
Visiting Professor of Mathematics      hpco...@hpcoders.com.au
University of New South Wales          http://www.hpcoders.com.au
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