Abstract
We consider the time evolution of two Ising systems that differ at time t=0 in the orientation of only one spin. The detailed time development is calculated from two algorithms: (i) Glauber dynamics and (ii) Q2R dynamics (a deterministic cellular automaton). We find that for both algorithms spreading of ‘‘damaged regions’’ is greatly hindered below a threshold temperature (or energy), which agrees numerically with the Curie point. For Glauber dynamics is found to be a sharp phase transition point; for Q2R dynamics we find a kinetic slowing down which is reminiscent of a (spin-) glass transition.
- Received 27 March 1987
DOI:https://doi.org/10.1103/PhysRevLett.59.2326
©1987 American Physical Society