# Data for 2D systems

## Nomenclature

### Correlation length data from eigenvalues of transfer matrices

Example:

- xiD1.2.dat : Correlation lengths for systems with cylinder diameter D*=1.2

Column description:

1. Reduced axial pressure (Px*)
2. Axial density (if available)
3. The largest correlation length
4. The second largest correlation length

- xiF5.dat : Correlation lengths for systems with reduced axial pressure Px*=5

Column description:

1. Cylinder diameter
2. Axial density (if available)
3. The largest correlation length
4. The second largest correlation length

- suffix _more : More correlation lengths are calculated and recorded. Correlation length data also begin with the third column

- suffix _NN : Data are obtained from nearest-neighbor transfer matrices, instead of next-nearest-neighbor transfer matrices (by default)

### Correlation length data from fitting correlation function results

Example:

- xifitD1.9.dat : Data for systems with cylinder diameter D*=1.9

Column description:

1. The first column represents the reduced axial pressure (Px*)
2. The second column represents the correlation length xi_y
3. The third and fourth columns represents the lower and upper bound of 95% confidence level for the fitting correlation result, respectively
4. The fifth to seventh columns are the data for correlation length xi_s and their confidence levels

- xifitF15.dat : Data for systems with reduced axial pressure Px*=15.

Column description:

The first column represents system cylinder diameters, and the following columns are with the same rule for xifitD1.9.dat described above.

### Correlation function data

Example:

- gsD1.9F5.dat : Correlation functions of the system with cylinder diameter D*=1.9 and reduced axial pressure Px*=5

Data description:

1. The first row represents <y_i>^2 and <s_i>^2, respectively, where y is the y coordinates of disks, and s is the longitudinal separation between a disk and its neighbor
2. The second row represents the data for correlation function g(0), the third row for g(1), and so on.
3. Start from the second row, the first column represents the data for the correlation g_y(i) = <y_0*y_i>-<y_i>^2
4. Start from the second row, the second column represents the data for the correlation g_s(i) = <s_0*s_i>-<s_i>^2