Effects of the randomly distributed magnetic field on the phase diagrams of the Ising Nanowire II: continuous distributions

TL;DR

This study investigates how continuous Gaussian magnetic field distributions influence the phase diagrams and ground state magnetizations of Ising nanowires, revealing the disappearance of certain phase transitions seen in discrete distributions.

Contribution

It introduces an analysis of continuous Gaussian distributions' effects on Ising nanowire phase behavior, expanding understanding beyond discrete distribution models.

Findings

Disappearance of reentrant behavior in phase diagrams

Elimination of first order transitions with Gaussian distributions

Ground state magnetizations vary with distribution parameters

Abstract

The effect of the random magnetic field distribution on the phase diagrams and ground state magnetizations of the Ising nanowire has been investigated with effective field theory with correlations. Gaussian distribution has been chosen as a random magnetic field distribution. The variation of the phase diagrams with that distribution parameters has been obtained and some interesting results have been found such as disappearance of the reentrant behavior and first order transitions which appear in the case of discrete distributions. Also for single and double Gaussian distributions, ground state magnetizations for different distribution parameters have been determined which can be regarded as separate partially ordered phases of the system.