A finite temperature magnetic phase transition in a one-dimensional lattice

<div>The effects of a long-range interaction on the magnetization and the heat capacity of 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 1D Ising model in a ring geometry having a dipolar interaction of strength <em>G</em> between spins. For a ring consisting of ten spins, the critical temperature at which an ordered state is achieved increases with the absolute value of the dipolar strength. A peak in the heat capacity is observed at finite temperatures.