Results for the 3D Self-Trapping Random Walk
Average number of steps before termination:
3953.65
+-0.20
Average number of failed attempts:
1426.55
+-0.07
Number of walks in simulation
1.1*10
9
Tables:
Results of simulation, comparison with exact probabilities
Enumeration of all self-trapping walks of length 12
Count self-trapping walks up to length 19
11
12
13
14
15
16
17
18
19
Distribution of end point distance
Comparison of average Euclidean and Manhattan displacements
Diagrams
Probability density for the number of steps before trapping occurs
The following two diagrams are for self-avoiding walks:
Asymptotic Behavior of Mean Square Displacement
Asymptotic Behavior of Mean Manhattan Displacement
Programs:
Fortran program to determine exact probabilities
Fortran program for distance counting
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