July 08 2004
Finite size analysis of dilute triangular system (f=1/49)
with E=2.0
The structure functions of L=56, 112, 168, and 224
for the dilute triangular lattice (f=1/49)
with E=2.0 has been used to test the new program computing the
real space correlation.
Pair Correlation Function
The 10000 saved configurations have been used to compute the
pair correlation function directly without using the structure function.
A pair correlation function is the probability to find two particles with
a certain distance (dx,dy).
Real Space Correlation Function
The real space correlation function is the inverse Fourier transform of
the structure function. From definition it should have the same values
as the pair correlation function. From the pictures below we see this
time we get the same values as the pair correlation function shown above.
The same procedure has also been applied to the dense system (f=1/25) with
E=2.0. The results are on the page
July 6 2004.
Real space correlation function of L=168
Profiles of other rows along a1 direction
Rows of structure functions
To see if the inverse Fourier transform is correct, we draw the rows of
the structure functions along k2 direction.
The max peak heights Smax are:
| Row |
56 |
112 |
168 |
224 |
| 1 |
37.2521 |
147.27 |
324.057 |
584.691 |
| 2 |
12.8732 |
40.237 |
79.9687 |
135.615 |
| 3 |
5.78916 |
11.3154 |
17.9232 |
26.1849 |