Curie Temperatures for Binary Ising Ferromagnets on the Square Lattice
Zoltan Neda
TL;DR
This paper uses high-precision Monte Carlo simulations to study the Curie temperature of binary Ising ferromagnets on a square lattice, compares results with mean-field theories, and proposes a new formula for estimation.
Contribution
It introduces a new formula for estimating the Curie temperature based on high-accuracy simulation data and theoretical comparisons.
Findings
New formula accurately estimates Curie temperature
Simulation results align with theoretical approaches
Provides insights into ferromagnetic phase transitions
Abstract
High-accuracy Swendsen and Wang Monte Carlo simulations were performed to study the Curie temperature of ferromagnetic, binary Ising systems on the square lattice. Our results are compared with mean-field like approaches. Based on these former theories, we give a new formula to estimate the Curie temperature of the system.
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Taxonomy
TopicsTheoretical and Computational Physics · Stochastic processes and statistical mechanics · Random Matrices and Applications