In order to gain a better understanding of the Drude model I\'m going guide you

Question

In order to gain a better understanding of the Drude model I'm going guide you through a numerical experiment. For this problem you are going to need a computer and a software of your choice (Matlab, Mathematica, Octave, Maple, Excel, C, or whatever you like). Whatever software you choose you need to be able to do the following elementary operations: Generate a list of random numbers Add lists of numbers element by element Perform comparisons (i.e. "If" commands) Perform iterations (i.e. "For", "While", etc. commands) Plot your results Let us try to monitor the behavior of a particle of mass m = 1 moving under the action of a constant force F = 1 and undergoing collisions with an average collision time r = 1. We are going to monitor the velocity of the particle over an extended interval of time T > r. We are going to update the particle's velocity at intervals of dr

Explanation / Answer

Matlab code:

clear all;
clc;
t(1)=0;
v(1)=0;
tau=1;
tf=10;
d=0.01;
n=tf/d;
X=rand(1);
P=d/tau;
for l=1:100
  
for i=2:(n)
X=rand(1);
if(X<P)
v(i)=v(i-1)*d+1*d;
  
else
v(i)=d;
end
a(l)=v(i)
end
b=a(l)
end

axis([0 10 0 0.011]);

plot(v,'g')

xlabel('time');
ylabel('velocity');
legend('Velocity');
grid;

The result plot is as below doc:

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