Boltzmann Equation Notes

Boltzmann Equation for Entropy:

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Lindsey Chheng 1E
Posts: 110
Joined: Fri Aug 30, 2019 12:16 am

Boltzmann Equation Notes

Postby Lindsey Chheng 1E » Tue Feb 04, 2020 11:15 pm

In the notes after the Boltzmann Equation, it says "Thermodynamic Property ('small' error in S)" and "Statistical ('large' error in W)". What does this mean?

Sebastian Lee 1L
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Joined: Fri Aug 09, 2019 12:15 am
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Re: Boltzmann Equation Notes

Postby Sebastian Lee 1L » Wed Feb 05, 2020 8:48 pm

All this means is that in the Boltzmann Equation , if you have a large error in W (degeneracy), you're not going to have much of an error in S (entropy). So you might have a large difference in values you get for W, but once you take the natural log and multiply by the Boltzmann constant, the values you get for S won't be very different even though you had very different W values.

Ryan 1K
Posts: 101
Joined: Fri Aug 09, 2019 12:15 am

Re: Boltzmann Equation Notes

Postby Ryan 1K » Wed Feb 05, 2020 8:54 pm

Why did he write statistical? How does it relate to error in W?

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