I Entropy and organized systems

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The discussion centers on the relationship between entropy and organized systems, particularly in biological contexts. It highlights that while the universe's entropy increases, localized decreases in entropy, such as in living systems, occur due to energy dissipation from sources like the Sun. This process allows for the existence of complex structures, as long as the overall entropy of the universe rises. Complexity is debated, with some arguing that definitions of complexity can be flawed or subjective. The conversation underscores the intricate balance between order and disorder in the universe, particularly in relation to life and its energy sources.
TheusMX
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If the entropy of the universe always increases, how is it possible for organized systems like life to exist? Shouldn't the natural tendency always be toward disorder and chaos? I'm confused about how this law applies to biological systems.
 
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Dissipation structure is an answer. In order the Earth including the lives evloves, the Sun provides energy. Entropy of the system decrease thanks to energy dissipation, which ends with entropy increase in the total system.
 
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TheusMX said:
I'm confused about how this law applies to biological systems.
The same as for any other system.

How do you think ice crystals form?
 
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TheusMX said:
If the entropy of the universe always increases, how is it possible for organized systems like life to exist? Shouldn't the natural tendency always be toward disorder and chaos? I'm confused about how this law applies to biological systems.
The answer is illustrated by the following pictures:
setting-time-aright-16-728.jpg
MinutePhysics_MTFY0H4EZx4_2m38s_920px.png
Organized systems correspond to states with high complexity, where entropy is neither too big nor too small. See also the Appendix in my https://arxiv.org/abs/1703.08341
 
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The local entropy per unit mass varies with spatial position in the universe. If the entropy decreases in one region, the entropy in the rest of the universe must increase by a greater amount.
 
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Maybe this video will help:
 
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Demystifier said:
The answer is illustrated by the following pictures:
View attachment 357476
How are you measuring complexity?

The claim that a fully mixed container of milk and Coke has lower complexity than a partially mixed container? Presumably because you consider "fully mixed" to be a simple to describe macro-state despite requiring a vast quantity of information to completely describe a particular microstate. I am pretty sure that there is a broken definition lurking in there.
 
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jbriggs444 said:
How are you measuring complexity?

The claim that a fully mixed container of milk and Coke has lower complexity than a partially mixed container? Presumably because you consider "fully mixed" to be a simple to describe macro-state despite requiring a vast quantity of information to completely describe a particular microstate. I am pretty sure that there is a broken definition lurking in there.
Complexity is hard to define precisely. For some approaches see e.g. https://en.wikipedia.org/wiki/Category:Measures_of_complexity
 
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Demystifier said:
Complexity is hard to define precisely. For some approaches see e.g. https://en.wikipedia.org/wiki/Category:Measures_of_complexity
And there it is. Indeed, one possible definition is broken.
https://en.wikipedia.org/wiki/Effective_complexity said:
Effective complexity is a measure of complexity defined in a 1996 paper by Murray Gell-Mann and Seth Lloyd that attempts to measure the amount of non-random information in a system.[1][2] It has been criticised as being dependent on the subjective decisions made as to which parts of the information in the system are to be discounted as random.[3]
[emphasis mine]
 
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