Best explanation for 1-way entropy?

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    Entropy Explanation
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Discussion Overview

The discussion centers on the explanation for the law of increasing entropy, exploring its implications and underlying principles. Participants examine the concept from a thermodynamic perspective, considering both micro-state explanations and statistical interpretations.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions why the increase of entropy is considered a law, suggesting it may be more of a general rule rather than an absolute law.
  • Another participant states that while entropy tends to increase, it is possible for a system to transition from higher to lower entropy, albeit with a very low probability.
  • A third participant adds that over an extremely long time scale, all equilibrium states would be accessed, leading to a null total entropy variation, which complicates the understanding of entropy increase.

Areas of Agreement / Disagreement

Participants express differing views on the nature of entropy increase, with some supporting the idea of it being a law and others suggesting it is more probabilistic and context-dependent. The discussion remains unresolved regarding the fundamental nature of entropy as a law.

Contextual Notes

Participants acknowledge the complexity of entropy over different time scales and the implications of statistical mechanics, but do not resolve the underlying assumptions or definitions related to entropy.

dydxforsn
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What is the best explanation for why entropy must increase BY LAW. I can see it as being a good general rule, but I don't quite see why it's law, especially when you consider a micro-state explanation of entropy. What is the best argument for the law of increasing entropy?
 
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My thermo is a bit rough, but the entropy of a system always increasing actually means the system, with overwhelming probability, tends towards states of increased entropy. You CAN see a system go from higher entropy to lower entry, but the probability is vanishingly small.
 
Statistically, what Peng said is right in a short time scale. When you consider a sufficiently huge amount of time (and this is very, very huge amount of time, many times the age of our universe), every equilibrium state would be accessed and the total entropy variation would be null.
 
Thank you both for the reply! I was thinking along those lines, but I wasn't sure at all. Physics Forums is such a good tool for this kind of thing..
 

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