Create a histogram of y-axis positions at x=100?

I'm simulating atomic jumps in a 1D lattice.

This code takes a series of 30 of a sequence of 100 random single integer atomic jumps and plots them on a single plot.

for i=1:30
n = 100;
P = zeros(n,1);
P(1) = 0; % Starting value
for i=2:n    % i is the number of steps from 1 to 100
  R = rand;
  if R < 0.5
    S = -1;
  elseif R > 0.5
     S = 1;
  end
  P(i) = S+P(i-1) % Gives the next random walk from the new position P every time
end
ylabel('Position')
xlabel('Jump Count')
title('Random Atomic Jumps in a 1-D Lattice')
plot(1:n,P)
hold on
end

Can you help provide the code to create a histogram of the 30 y-axis positions on this plot, at x=100?

Answer 1

[Mario Malic]

Hello,

I have changed a bit of your code so it doesn't overwrite the values within i loop.

n = 100;
P = zeros(i,n); % Array initialisation
for i=1:30
P(1) = 0; % Starting value
    for j=2:n    % i is the number of steps from 1 to 100
      R = rand;
      if R < 0.5
        S = -1;
      elseif R > 0.5
         S = 1;
      end
      P(i,j) = S+P(i,j-1); % Gives the next random walk from the new position P every time
    end
ylabel('Position')
xlabel('Jump Count')
title('Random Atomic Jumps in a 1-D Lattice')
end
plot(1:n, P);

histogram(P(:,end)); % Gets the last value of each series