Loading [MathJax]/extensions/TeX/boldsymbol.js

 

 

 

Random Walks

In Eq. (7) the variable n represents the number of time steps. If we define n=t/\Delta t , we can then couple the variance result from a random walk in one dimension with the variance from the diffusion equation of Eq. (6) by defining the diffusion constant as \begin{equation*} D = \frac{l^2}{\Delta t}. \end{equation*}