2D_Random_Walk_400x400.ogv
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Summary
Description 2D Random Walk 400x400.ogv |
English:
One million steps in a two-dimensional
random walk
, at 1500 steps per second. At each step, the particle randomly moves to any one of the eight positions in its
Moore neighbourhood
. The grid is 400x400 square with toroidal boundary conditions (i.e. going off one edge reappears on the opposite edge). Generated with
MATLAB
using my own script - video has 20000 frames. The steps slowly fade out exponentially at 0.9999^t (a version showing all the steps taken is
here
). Encoded with Ogg Theora at 600 kbps: video has noticeable compression artifacts, but these do not appear to significantly detract from quality. MATLAB source code shown below:
tmax=20000;%the maximum time x=1; %the number of particles n=400; %the size of the square grid pos=randi(n/2,2,x)+n/4; %initial position of particles. vel=randi(3,2,x)-2; %initial velocity of particles. img=zeros(n); r=1; for t=1:tmax for q=1:50 %how many steps per frame img=0.9999*img;%reset the image but with a shadow or trail. for i=1:x img(pos(1,i),pos(2,i))=img(pos(1,i),pos(2,i))+10; end vel=randi(3,2,x)-2; %velocity of particles. pos=pos+vel; pos=mod(pos-1,n)+1; end imwrite(img./11,[num2str(t) '.png'],'png'); end |
Date | |
Source | Own work |
Author | Purpy Pupple |
Other versions |
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