Re: Understanding MinEP and MaxEP
- From: William Morse <wdmorse@xxxxxxxxxxxx>
- Date: Sat, 10 Sep 2005 01:22:18 -0400 (EDT)
Tim Tyler <tim@xxxxxxxxxxx> wrote in
news:dfrcf7$12h0$1@xxxxxxxxxxxxxxxxxxx:
> William Morse <wdmorse@xxxxxxxxxxxx> wrote or quoted:
>
>> The point of self organization is that the organization outcompetes
>> the disorganized states by utilizing part of the available energy
>> gradient to create a structure. This only makes sense if the
>> resulting structure can process energy faster than the disorganized
>> states. But "processing energy" is not the same as "producing
>> entropy" - the processed energy can go into work (e.g. into
>> maintaining the structure) as well as into entropy.
>
> My current take on this is that I've discarded the idea that entropy
> is being maximised. Power isn't really being maximised either.
>
> ISTM that there's more than one mechanism invovled producing the
> effects under discussion - but an important one - and the one most
> obviously involved in biological systems - is driven by selective
> competition between self-perpetuating systems. These systems behave
> as though their main aim is to maximise their "staying power" by
> feeding off the available energy gradients. The winner isn't *always*
> the one that can use the resorces most rapidly - but that is often a
> big factor in the end.
>
> In practice, the effect is *pretty* close to maximising power (i.e.
> rate of work). Essentially the closeness is because the kind of
> technological breakthroughs that allow better staying power to be
> achieved with a reduced rate of work are rather rare.
>
>> There is obviously a change in potential energy between the water in
>> the upper bottle and the water in the lower bottle, but what is the
>> change in entropy? To make this even more clear, let us say that the
>> bottles are perfectly insulated, and that the air in the bottles is
>> completely saturated with water vapor before we start the experiment.
>> After the water has flowed from the upper to the lower bottle, there
>> is a difference in potential energy, so presumably the water in the
>> lower bottle has higher kinetic energy, i.e. it is hotter. But where
>> is the entropy difference?
>
> The water being hotter represents an entropy difference.
I don't think so, but I will be happy to be corrected by an authority.
> Heat is a highly disordered form of kinetic energy.
True, but irrelevant regarding an entropy difference. Heat engines are
the stuff of thermodynamics.
> Forgive me if I don't discuss the bottle example further. With
> no convenient way of measuring the entropy of the water on exit
> from the top bottle - or the work it has done - the example seems
> to me to be relatively unenlightening.
Actually, I think the example would be quite enlightening if we could
understand it. What I don't know is whether the lack of understanding has
to do with the lack of knowledge among those of us discussing it or with
more fundamental complexities of fluid mechanics, which I have mentioned
earlier.
Yours,
Bill Morse
.
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