Entropy over Time | Physics Homework Questions

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SUMMARY

The discussion centers on the concept of entropy in thermodynamics, specifically in relation to time scales as posed in a physics homework question. The formula for entropy, S = k*ln(omega), is highlighted, emphasizing the need to consider all possible macrostates over extended time periods. Participants clarify that as time progresses, the number of accessible macrostates increases, necessitating a comprehensive calculation of entropy beyond just the most and least likely states.

PREREQUISITES
  • Understanding of thermodynamic concepts, particularly entropy.
  • Familiarity with statistical mechanics and macrostates.
  • Knowledge of the Boltzmann constant (k) and its application in entropy calculations.
  • Basic grasp of logarithmic functions and their relevance in physics.
NEXT STEPS
  • Research the implications of time on entropy in thermodynamic systems.
  • Study the relationship between macrostates and microstates in statistical mechanics.
  • Explore advanced topics in entropy, such as the Second Law of Thermodynamics.
  • Learn about computational methods for calculating entropy over time, including simulations.
USEFUL FOR

Students of physics, particularly those studying thermodynamics and statistical mechanics, as well as educators looking to enhance their understanding of entropy over time in physical systems.

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Homework Statement


Hi all, please take a look at this:

http://vanha.physics.utu.fi/opiskelu/kurssit/FFYS4497/exercises/EX-2.pdf

Nr. 2,4, the last question. What do they mean by: "Also compute the entropy
over long time scales."?

The Attempt at a Solution


I simply don't understand the question. I know that the entropy, S, can be written as:

S = k*ln(omega),

but how does time come into this?
 
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In the first part, you are caculating the entropy of a specific macrostate (ie. the most likely and the least likely). What the question is asking (I believe) is to calculate the entropy over all possible macrostates. The idea is that, as time goes by, more macrostates are theoretically possible so you need to take into account all of the macrostates as opposed to just one.

As least, I'm pretty sure that's it...=)
 

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