Session C4: Spintronics and Quantum Computing
3:40 PM–4:52 PM, Friday, October 23, 2009
Green Center Room: 211
Chair: Mark Coffey, Colorado School of Mines
Abstract ID: BAPS.2009.4CF.C4.5
Abstract: C4.00005 : Consensus and Frustration in the Heisenberg Model
4:40 PM–4:52 PM
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Abstract
Authors:
Wesley Krueger
(Brigham Young University)
Manuel Berrondo
(Brigham Young University)
In the creation of a model for flocking behavior, we have developed a set of two rules, termed consensus and frustration, which consist of a topologically unique non-symmetric alignment tendency among individual particles, coupled with an antagonistic, generally external influence opposing full particle alignment. These rules act to produce a spectacular range of deterministic, complex motion. Placing the particles in a lattice structure and allowing the velocity to go to zero produces a modified Heisenberg spin model. We discuss the development and exploration of such a model; in particular the compatibility of common numerical integration methods with our consensus and frustration rules and quantification of the results using thermodynamic techniques.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2009.4CF.C4.5