The effects of a long-range interaction in a one-dimensional (1D) magnetic ring is studied. In this work, the Monte Carlo method is employed to obtain the equilibrium state of a modified quasi-1D Ising model having a dipolar interaction in a ring geometry. At low temperatures (*T*), the behavior of the magnetization (*M*) as a function of *T* is shown to depend on the strength of the dipolar interaction *(G)*. For a ring consisting of 10 spins, ferromagnetic states occur in the ground state (*T*=0) for a small value of *G*. Antiferromagnetic states are favored when *G* is large even at a finite temperature. The magnetization saturates at high *T*. Also, an effective lowering of the total energy is achieved when smaller values of *G* approach zero and when large value of *G* is increased further. Similar effects are observed for rings having a larger number of spins.

},
author = {Gina Rose Tongco and Cristine Villagonzalo}
}