What will be the Euclidean dimension of an Ising ferromagnetic cubic shell?

• Published in: Journal of magnetism and magnetic materials Vol. 610; p. 172539
• Main Authors: Tikader, Ishita, Acharyya, Muktish
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15.11.2024
• Subjects: Critical point; Euclidean dimension; Ising ferromagnet; Metastable behaviour; Metropolis algorithm; Monte Carlo simulation; Relaxation; Euclidean dimension; Ising ferromagnet; Metropolis algorithm; Relaxation; Metastable behaviour; Critical point; Monte Carlo simulation
• ISSN: 0304-8853
• DOI: 10.1016/j.jmmm.2024.172539

The equilibrium and nonequilibrium properties of an Ising ferromagnetic cubic shell have been extensively studied by Monte Carlo simulation using Metropolis single spin flip algorithm. Although, geometrically the Euclidean dimension of the cubical shell is three, interestingly, the Ising ferromagnetic cubic shell undergoes ferromagnetic phase transition at a temperature which is very close to that for two-dimensional Ising ferromagnet. Surprisingly, the Ising ferromagnetic cubic shell shows a strange (neither exponential nor stretched exponential) kind of relaxation behaviour, instead of exponential relaxation as usually observed in the two dimensional Ising ferromagnet. The metastable lifetime of a ferromagnetic Ising cubical shell is studied as a function of the applied magnetic field. Here also, the cubic shell behaves more likely a two-dimensional object as found from statistical analysis and comparison with Becker–Döring prediction of classical nucleation theory. •Ising ferromagnetic cubic shell studied by Monte Carlo method.•Equilibrium phase transition resembles a two-dimensional system.•Non-exponential relaxation has been observed.•Metastable behaviour resembles more like a two-dimensional system.•The Euclidean dimension of Ising ferromagnetic cublic shell is not three.