Superparamagnetism and Monte Carlo simulations
David Serantes, Daniel Baldomir

TL;DR
This paper reviews superparamagnetism concepts and discusses how Monte Carlo simulations, especially the Metropolis algorithm, can effectively model the magnetic properties of superparamagnetic particles, emphasizing the importance of computational steps.
Contribution
It provides a comprehensive overview of applying Monte Carlo methods, particularly the Metropolis algorithm, to study superparamagnetic properties, highlighting simulation parameters' impact.
Findings
Monte Carlo methods effectively reproduce superparamagnetic features.
Computational time steps significantly influence simulation accuracy.
The Metropolis algorithm is suitable for modeling SPM properties.
Abstract
We revise the basic concepts beneath the idea of \textit{superparamagnetism} and the suitability of Monte Carlo (MC) simulations to study superparamagnetic (SPM) properties. Starting with the description of the characteristic features of the single-domain SPM entities, their general magnetic-field and temperature-dependent magnetic properties are discussed. Then, the use of a MC technique for studying SPM properties is presented, starting with a general approach to MC methods and introducing the Metropolis algorithm as an adequate tool for reproducing SPM features. Special attention is paid to the role played by the \textit{computational time} MC steps on the simulations.
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