Frustration in Condensed Matter: Three-Dimensional Simulations.
Abstract
We study frustration in condensed multi-body systems with three degrees of freedom. Our simulation model minimizes frustration, allowing particles to move in a given system. Frustration is defined in terms of individual frustrations, based upon relative distances between particles. Frustration is assumed to be linear with the energy of the system, and minimized using both energy and distance dependencies. Since frustration modeling mirrors the relaxation motions, our simulations appear to minimize more efficiently than using energy critirion. This modeling in condensed matter has possible applications to vortex states and spin glasses, which attempt to relax to an ordered state. In such systems, random magnetic interactions compete. While energy is not used as a criterion for relaxation, the problem of disorder is simplified, when relative distances (or discrete spin orientations) are dominant in relaxation processes. The relaxation behavior suggests that frustration minimizes with a pseudo-exponential time dependency, substantially different from power law or exponential behavior. Ref: I.M. Suarez, Modeling Frustration for Physical Systems, SJSU Thesis (1990) and references therein. C. Boekema, I.M. Suarez et al Hyperfine Interactions 64 (1990) 467. Research is supported by NSF-REU and Physics@SJSU.
- Publication:
-
APS March Meeting Abstracts
- Pub Date:
- March 2003
- Bibcode:
- 2003APS..MAR.C1024W