2004 Student Research Conference:
17th Annual Student Research Conference


Motivations for random walk studies on a Discrete Spacetime
Ikechukwu P. Okonkwo*, Adam H. Bezinovich, and Jarrett L. Johnson
Prof. Taner Edis, Faculty Mentor

Particles in a discrete space can only move to certain points in the space at any time because of their probabilistic motion. We have been studying particle jumps from point to point when placed in an "approximately symmetric" system and looking for any coherent behavior. In our analysis, we use a computer that generates random points for what would be a model for discretized space. Our simulation program enables us adjust the number of experiments, the random points, initial kinetic energy and it then outputs the transmission and reflection coefficients, which we eventually analyze to determine whether we are getting the kind of data we expect. Variations of the variables give rise to interesting features like barrier penetrations and non-quantum tunneling, which will be explained in more detail.

Keywords: symmetry, random lattice, tunneling


Presentation Type: Oral Paper

Session: 48-2
Location: VH 1432
Time: 4:00

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