Ising-Glauber dynamics of a frustrated spin system in a hexagonal-triangular configuration

Authors

  • Diane M. Caneso National Institute of Physics, University of the Philippines Diliman
  • Kristian Hauser A. Villegas National Institute of Physics, University of the Philippines Diliman
  • Jose Perico Esguerra National Institute of Physics, University of the Philippines Diliman

Abstract

We investigate the evolution of the magnetization probability and the average magnetization of a frustrated antiferromagnet in a hexagonal-triangular geometry using Ising-Glauber dynamics. We derive the transition probability matrix and calculate the evolution of the magnetization probability for various initial conditions in three main regimes: i.) when the exchange coupling J dominates the thermal energy kT, ii.) When the coupling is comparable to the thermal energy and iii.) When the thermal energy dominates the exchange coupling. We found that higher magnetizations acquire non-zero probabilities when the thermal energy becomes non-negligible compared to J, even after many time iterations. Systems starting from different initial conditions converge to the same steady-state magnetization values.

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Article ID

SPP2014-5A-05

Section

Theoretical Physics

Published

2014-10-17

How to Cite

[1]
DM Caneso, KHA Villegas, and JP Esguerra, Ising-Glauber dynamics of a frustrated spin system in a hexagonal-triangular configuration, Proceedings of the Samahang Pisika ng Pilipinas 32, SPP2014-5A-05 (2014). URL: https://proceedings.spp-online.org/article/view/1845.