Configurational temperature for interacting anisotropic magnetic particles

We study by means of the LandauLifshitz equation both the dynamical and the thermodynamical equilibrium properties of the interacting anisotropic magnetic particles on a chain in the presence of an applied magnetic field. The interaction between the magnetic particles is produced by an exchange coupling between first neighbors with periodic boundary conditions. We find that the total magnetization modulus can be a fluctuating function of time, since the system under study contains anisotropic terms. We obtain an analytical expression for the configurational temperature and an approximate formula for the case of a large number of particles. When the direction of the external field is different to the easy axes, the configurational temperature presents an oscillatory behavior as a function of time. Finally, by using the time average of the temperature, we calculate both the energy and the magnetization along the external field as a function of temperature, recovering the equilibrium thermodynamics results.