random_walk_2d_avoid_simulation, a MATLAB code which simulates a self-avoiding random walk in a 2D region.
A random self-avoiding walk of length STEP_NUM in 2D can be generated by generating a random walk in 2D and "hoping" it doesn't intersect itself. If the next step would cause an intersection, then the generation is terminated prematurely; to ensure that the self-avoiding random walks are selected uniformly, we have to just keep trying random walks this way and "hoping".
The code RANDOM_WALK_2D_AVOID_PLOT plots the trajectories of one or more self-avoiding random walks. The user gives a desired length STEP_NUM, and the code generates a random walk that either reaches STEP_NUM without self-intersection, or is terminated early to avoid intersection.
The code RANDOM_WALK_2D_AVOID_SIMULATION plots averaged data for any number of self-avoiding random walks that each try to achieve the same number of steps. The data plotted includes the number of steps each walk reached before termination, and a least squares fit to the distance versus number of steps.
random_walk_2d_avoid_plot ( step_num, walk_num )where
random_walk_2d_avoid_simulation ( step_num, walk_num )where
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
random_walk_2d_avoid_simulation is available in a MATLAB version.
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