Title

Monte Carlo Simulation of the Smeared Phase Transition in a 3-Dimensional Ising Model with Planar Defects

Presenter Information

Ryan Kinney

Department

Physics

Major

Physics and Mathematics

Research Advisor

Vojta, Thomas

Advisor's Department

Physics

Funding Source

National Science Foundation, UM Research Board, Research Corporation

Abstract

We investigate the effects of rare regions on the dynamics of Ising magnets with planar defects, i.e., disorder perfectly correlated in two dimensions. In these systems, the magnetic phase transition is smeared because static, long range order can develop on isolated rare regions. We perform large-scale Monte Carlo simulations for a three- dimensional Ising model with nearest neighbor interactions and planar defects. To increase the efficiency of the calculations, we have developed parallel simulation algorithms and implemented them on the Pegasus Cluster. We find that in the tail region of the smeared transition, the dynamics is extremely slow, even slower than in a conventional Griffiths phase. The spin autocorrelation function decays like a stretched exponential at intermediate times before approaching the exponentially small equilibrium value following a power law at late times.

Biography

Ryan is a senior attending the University of Missouri--Rolla majoring in Physics and Mathematics. He has been an active student researcher at UMR working under both Dr. Thomas Vojta and Dr. Michael Schulz and has done a National Science Foundation Research Experience for Undergraduates at both The Pennsylvania State University and the California Institute of Technology. He is currently the President of the Society of Physics Students and has also served as Vice-President and Treasurer. He is a member of Sigma Pi Sigma, the physics honor fraternity.

Research Category

Natural Sciences

Presentation Type

Poster Presentation

Document Type

Poster

Presentation Date

12 Apr 2006, 1:00 pm

Comments

Joint project with Shellie Huether

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Apr 12th, 1:00 PM

Monte Carlo Simulation of the Smeared Phase Transition in a 3-Dimensional Ising Model with Planar Defects

We investigate the effects of rare regions on the dynamics of Ising magnets with planar defects, i.e., disorder perfectly correlated in two dimensions. In these systems, the magnetic phase transition is smeared because static, long range order can develop on isolated rare regions. We perform large-scale Monte Carlo simulations for a three- dimensional Ising model with nearest neighbor interactions and planar defects. To increase the efficiency of the calculations, we have developed parallel simulation algorithms and implemented them on the Pegasus Cluster. We find that in the tail region of the smeared transition, the dynamics is extremely slow, even slower than in a conventional Griffiths phase. The spin autocorrelation function decays like a stretched exponential at intermediate times before approaching the exponentially small equilibrium value following a power law at late times.