Two point correlation function of a finite 2D lattice
Computes the distance 2-point correlation function of a finite 2D lattice. The functions is:
[ coorfun r rw] = twopointcorr(x,y,dr,blksize,verbose)
Where x is the list of x coordinates of lattice points. y is the list of y coordinates of the lattice points,and dr is the binning length for the correlation function. blksize is the number of points processed at a time. verbose is a boolean on whether to display current progress.
The outputs are coorfun, r, and rw. Coorfun is a vector of normalized correlation function values for distances recorded in the r vector. rw is the weight (number of points) contributing to corrfun calculation at a particular r. Low rw means that corrfun at that r value is unreliable.
This function has been fully vectorized to improve performance.
Cite As
Ilya Valmianski (2024). Two point correlation function of a finite 2D lattice (https://www.mathworks.com/matlabcentral/fileexchange/31353-two-point-correlation-function-of-a-finite-2d-lattice), MATLAB Central File Exchange. Retrieved .
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Version | Published | Release Notes | |
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1.5.0.0 | Solved a bug where (x,y) were not column vectors. Updated the description. |
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1.4.0.0 | Added blksize and verbose optional arguments. blksize allows to consider the data in blocks thus reducing memory requirements/out of memory errors. Verbose allows the function to output in display how much progress has been achieved. |
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1.3.0.0 | Improved vectorization. Removed bias due to finite size of lattice. |
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1.2.0.0 | Some performance improvements. |
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1.1.0.0 | There was a minor error in normalization which resulted in the entire function being divided by the number of particles an extra time. |
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1.0.0.0 |