3
$\begingroup$

I acknowledge that this question is quite trivial. But in the lattice jargon, what does a $N$-sites lattice mean?

  • it's a lattice $N\times N$ or
  • it's a lattice with $N$ vertices?
  • another option perhaps.

From the context I cannot infer it. I just know that $N$ is quite large, i.e. in the thermodynamic limit $N\to \infty$, one also has $N^2\to\infty$ and $N^{1/2}\to\infty$.

Edit: The lattice is in 2D.

Improve this question
$\endgroup$

1 Answer 1

Reset to default
2
$\begingroup$

"Site" is synonymous with "vertex". They're called "sites" because they're the places where the objects of interest (particles with a spin or whatever) are located. So it's a lattice with $N$ vertices.

Improve this answer
$\endgroup$
2
  • $\begingroup$ Ok, so, for a finite $d$-dim lattice with $N$ sites, if equally spacially distributed, you got a $N^{1/d}\times\ldots\times N^{1/d}$ array, right? $\endgroup$
    – c.p.
    Commented Oct 28, 2013 at 15:20
  • $\begingroup$ Yes, exactly, though I guess in general it could be some shape other than a $d$-cube. $\endgroup$
    – N. Virgo
    Commented Oct 28, 2013 at 15:58

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.