A finite temperature magnetic phase transition in a one dimensional lattice

Authors

  • Cristine Villagonzalo ⋅ PH National Institute of Physics, University of the Philippines Diliman
  • Gina Rose Tongco ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

The effects of a long-range interaction on the magnetization and the heat capacity of a one-dimensional (1D) magnetic ring is studied. In this work, the Monte Carlo method is employed to obtain the equilibrium state of a modified 1D Ising model in a ring geometry having a dipolar interaction of strength G between spins. For a ring consisting of ten spins, the critical temperature at which an ordered state is achieved increases with the absolute value of the dipolar strength. A peak in the heat capacity is observed at finite temperatures. Depending on the magnitude of G, a phase transition at finite temperature may occur.

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Article ID

SPP-2006-2C-03

Section

Theoretical and Computational Physics

Published

2006-10-25

How to Cite

[1]
C Villagonzalo and GR Tongco, A finite temperature magnetic phase transition in a one dimensional lattice, Proceedings of the Samahang Pisika ng Pilipinas 24, SPP-2006-2C-03 (2006). URL: https://proceedings.spp-online.org/article/view/SPP-2006-2C-03.