# Plot a vector field from a matrix

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Samuel Curé on 15 Dec 2020
I would like to plot a field of unit vectors on a square lattice Λ of size .
Each point of the lattice is a unit vector pointing in some angle: where θ is a matrix whose entries are between 0 and .
Here is my attempt:
N=100
theta=2*pi*rand(N,N) % random for this example only
[X,Y]=meshgrid(1:N,1:N)
U=cos(theta)
V=sin(theta)
quiver(X,Y,U,V) However this is not very esthetic, how could I make this vector field more readable?
(Even when I choose a configuration where all spins are aligned, it is still not readable) Perhaps spacing the arrows and making them bigger with a longer shaft could make it more readable? I am quite new on MATLAB and I have no idea how to change this. Plotting this from my matrix theta felt already like an accomplishement.

You can use a scale like this:
N=100;
theta=2*pi*rand(N,N); % random for this example only
[X,Y]=meshgrid(1:N,1:N);
U=cos(theta);
V=sin(theta);
quiver(X,Y,U,V,0.3)