Phase Transitions in Systems with Finite Number of Atoms

TL;DR

This paper investigates how finite-size effects influence phase transitions in nanoparticles, revealing that Curie temperature decreases with size and critical concentration varies with particle dimensions.

Contribution

It introduces a study of phase transition properties in nanoparticles using the Ising model and random-field interactions, highlighting size-dependent critical phenomena.

Findings

Curie temperature is inversely proportional to particle size

Critical concentration decreases as nanoparticle size increases

Percolation threshold is affected by nanoparticle dimensions

Abstract

Properties of nanoparticles have been studied within the framework of Ising model and the method of random-field interactions: the average magnetic moment and position of critical points of the magnetic and the concentration phase transitions depending on their size. It is shown that the Curie temperature is inversely proportional to the size of the particle. Critical concentration of the ordered state decreases with increasing of size of nanoparticles until the percolation threshold of "massive" particles.