19-22 October 2011
Hotel Roanoke, Roanoke VA
US/Eastern timezone
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The effects of mobility on the one-dimensional four-species cyclic predator-prey model

21 Oct 2011, 11:09
12m
Crystal Ballroom B (Hotel Roanoke, Roanoke VA)

Crystal Ballroom B

Hotel Roanoke, Roanoke VA

Contributed (undergraduate) HB. Statistical and Nonlinear Physics I

Speaker

David Konrad (Virginia Tech)

Description

The dynamics of a one-dimensional lattice composed of four species cyclically dominating each other is very much dependent on the rates of mobility in the system. We realize mobility as the exchange of two particles located at two nearest neighbor sites with some species dependent rate s. Allowing for only one particle per site, the different species interact cyclically, with species dependent consumption rate k, such that k + s <= 1. When varying the exchange rates, we see vastly different behavior when compared to the three-species model. The patterns of domain growth and decay still show an overall power law behavior, however the fundamental trend of domain growth does not follow the three-species case. We also look at the space-time diagrams to see precisely how the domains form, grow, and decay.

Co-author

Michel Pleimling (Virginia Tech)

Presentation Materials

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