Boltzmann Equation: Entropy & Thermodynamics

[Entr0py]

There was an equation I saw before and I think it pertains to Boltzmann and thermodynamics. I think it describes the entropy of a system. From what I can remember, it involves the symbol omega to denote micro states, k for a constant, and a logarithm somewhere. Anyways, hopefully some one knows which equation I'm talking about. Thanks.

 

[ShayanJ]

$S=k \ln \Omega$(k is the Boltzmann's constant).

 

[Entr0py]

Yes, what does the equation you posted mean exactly? So is that equation describing and explaining?

 

[Entr0py]

Yes, what does the equation you posted mean exactly? So is that equation describing and explaining?

I might to say, what is that equation explaining and describing?

 

[ShayanJ]

S is entropy which is usually said to be a measure of disorder in the system. The above equation just quantifies this definition in terms of the number of microstate which all correspond to a single macrostate.

 

[Entr0py]

Now how would you define a micro state? Would it be like the number of ways tiny particles can arrange themselves?

 

[ShayanJ]

Now how would you define a micro state? Would it be like the number of ways tiny particles can arrange themselves?

See here!