Effect of Magnetic Anisotropy on a One - Dimensional System of Magnetic Particles

Using a statistical approach, the magnetization and the initial susceptibility for a one – dimensional chain of a dilute ferromagnetic fluid have been investigated. Our assembly consisted of an N – particle chain with N/3 non - interacting systems. We have studied three distinct cases: case 1 with randomly oriented easy axis of the particle assembly and the applied magnetic field is parallel to the chain. We found that the initial susceptibility follows Curie – Weiss behavior with positive ordering temperature T0 that does not depend on the anisotropy constant K of the particles. In case 2, the applied field is perpendicular to the chain with randomly oriented easy axis. In this case, we found an antiferromagnetic transition with no dependence on K. In case 3, when the easy axis is fixed at an angle ξ relative to H, we found that whether H parallel or perpendicular to the chain there is an interplay between ferromagnetic-like and antiferromagnetic-like behavior, depending on K, particle separation within the system and the angle ξ .