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9 votes
1 answer
411 views

How do you calculate a radial distribution function on a lattice?

For the radial distribution function $$g(r)=\frac{N(r)}{4\pi r^{2}dr \rho}$$ how do you do the calculation of the volume of the spherical shell in the denominator, $4\pi r^{2} dr$, when the simulation ...
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7 votes
0 answers
122 views

Deriving relations for a hard sphere phase diagram [closed]

In Torquato's book "Random Heterogeneous Materials", he has written: $$\frac{p}{\rho kT} = 1+2^{d-1}\eta g_2 (D^{+})\tag{1}$$ where $g_2(D^+)$ is the contact value from the right-side of the ...
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