July 30 2004
1D elastic model with K=0.05 for dilute system (f=1/7)
To evaluate the correlation length of the dilute systems, a 1D elastic model
with driven force has been established with the hamiltonion of
H = 1/2 * K * SUMi [ |ri+1 - ri| -
r0 ]^2 - SUMi Ei
where r is the position of particles, and E is the external driven force.
K is chosen to be 0.05 so that the decay of pair correlation function
matches the results of C(x,y=0) of
the dilute systems.
Comparison of 1D elastic string and 2D coulomb gas
1D elastic string with bigger sizes
Correlation value at L/2 vs. L
L is the system size. If the data can be fit in a straight line as shown
below, L should be 1082 to let the correlation value to be near 0.
