Self-interaction and slow dynamics.
A simple spin system with self-interaction is proposed and studied where the interaction among spins is taken into account within a mean field model. The self-interaction, which turns out to be a kind of activation energy, gives rise to slow relaxation due to disorder introduced to the self-interaction. In a thermodynamic limit (N-->infinity), a phase diagram is obtained and a spin-spin time correlation function (TCF) is calculated exactly to show that relaxation time diverges at low temperature. Dynamical property of a finite system, such as relaxation of the TCF, is studied by numerically solving a master equation.
Munakata
Toyonori
T
Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan. munakata@amp.i.kyoto-u.ac.jp
Uranagase
Masayuki
M