Correlations in mesoscopic magnetic systems
F. Gulminelli, Ph. Chomaz
TL;DR
This paper investigates phase transitions and magnetic susceptibility in mesoscopic Ising-like systems, aiming to demonstrate negative susceptibility in fixed magnetization conditions through correlation analysis.
Contribution
It introduces a method to analyze correlations in mesoscopic magnetic systems and demonstrates the existence of negative magnetic susceptibility in fixed magnetization ensembles.
Findings
Negative magnetic susceptibility observed in fixed magnetization ensemble
Correlation < S(r) S(r+Dr) > related to magnetization fluctuations
Demonstration of phase transition characteristics in mesoscopic systems
Abstract
The purpose of this proposal is to study the ferro/para phase transition in a mesoscopic Ising-like lattice and in particular demonstrate the existence of a negative magnetic susceptibility in the fixed magnetization ensemble. To this aim we will use the correlation < S(r) S(r+Dr) > = < M2>/N2 where N is the total number of spins for a single cluster, M the total magnetization of the cluster, and the equality holds if we choose r0<Dr<R where r0 is the linear size of a spin site and R is the linear size of a cluster.
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Taxonomy
TopicsTheoretical and Computational Physics · Markov Chains and Monte Carlo Methods · Random Matrices and Applications