Relaxation of Magnetic Nanoparticle Chain without Applied Field

The relaxation of a one-dimensional magnetic nanoparticle linear chain with lattice constant $a$ is investigated in absence of applied field. There is an equilibrium state (or steady state) where all magnetic moments of particles lie along the chain (x-axis), back to which the magnetic nanoparticle chain at other state will relax. It is found that the relaxation time T_x is determined by T_x=10^β× a³. This relaxationis compared with that of single magnetic nanoparticle system.