Mean Field in Long-Range Ferromagnets and Periodic Boundary Conditions
Sergio Curilef
TL;DR
This paper investigates the effects of periodic boundary conditions on long-range ferromagnetic Ising models, analyzing how decay interactions influence mean field approximations in symmetrical lattices.
Contribution
It introduces a detailed analysis of mean field behavior in long-range ferromagnets with periodic boundaries, focusing on decay interactions in symmetrical lattices.
Findings
Mean field approximation effectively describes long-range ferromagnetic interactions.
Decay law influences critical behavior and phase transition properties.
Periodic boundary conditions impact the symmetry and collective behavior of the lattice.
Abstract
Periodic boundary conditions are applied to a ferromagnetic spin lattice. A symmetrical lattice and its contributions all over space are being used. Results, for the Ising model with ferromagnetic interaction that decays as a law, are discussed in the mean field approximation
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