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Results tagged with thermodynamics
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user 62770
Covers the study of (primarily homogeneous) macroscopic systems from a heat/energy/entropy point of view. Consider also using the tag: [statistical-mechanics].
2
votes
The average value of the electric polarization of an ideal gas
It is better to work with the spherical coordinate system. Then the integral takes the form:
$\int drd\theta d\phi r^2\sin\theta e^{\frac{1}{kT}ED\cos\theta}\\
=\int drd\cos\theta d\phi r^2 e^{\frac{1 …
- 271
1
vote
Accepted
Chemical Potential in the canonical and grand canonical ensemble
In statistical mechanics, we always consider systems at thermodynamic limit. By thermodynamic limit, we mean that the volume or the number of particles of a system tends to infinity. It can be shown t …
- 271
1
vote
Thermodynamic free energy
The weight for a specific state is $w(\phi)=e^{-E/T+F/T}\equiv e^{-I(\phi)+F/T}$. Due to the definition of the entropy $S$, we have
$S=-\int D\phi w\ln w=\frac{1}{T}(\int D\phi wE-F\int D\phi w)=\frac …
- 271