Investigating the dimensional dependence of the Ising model using Monte Carlo method

Authors

  • Yosef Foronda Department of Physics, MapĂșa University
  • Rayda P. Gammag Department of Physics, MapĂșa University

Abstract

This study aims to investigate the dimensional dependence of the critical temperature of the Ising model using Monte Carlo methods. The dimensionality of the lattice is defined in accordance with the Hausdorff dimension. Our findings demonstrate a hyperbolic tangent function that relates the critical temperature with dimension. It shows a smooth step function for its behavior from 1D to 2D and 2D to 3D.

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Issue

Article ID

SPP-2024-PB-07

Section

Poster Session B (Complex Systems, Computational Physics, and Astrophysics)

Published

2024-06-26

How to Cite

[1]
Y Foronda and RP Gammag, Investigating the dimensional dependence of the Ising model using Monte Carlo method, Proceedings of the Samahang Pisika ng Pilipinas 42, SPP-2024-PB-07 (2024). URL: https://proceedings.spp-online.org/article/view/SPP-2024-PB-07.