G.A. Held, G. Grinstein, et al.
Physical Review B - CMMP
We study the stability of spatially coherent, time-periodic states in noisy, classical, discrete-time, many-body systems with short-range interactions. Generic stability of periodic k cycles with k>2 can be achieved only by rules carefully constructed to exploit lattice anisotropy and so suppress droplet growth. For ordinary rules which do not utilize spatial anisotropy in this way, periodic k cycles with periods k>2 are metastable rather than stable under generic conditions, losing spatial coherence through nucleation and growth of droplets. The unusual dynamical properties of the periodic states stabilized by anisotropy are described. © 1990 The American Physical Society.
G.A. Held, G. Grinstein, et al.
Physical Review B - CMMP
Charles H. Bennett, Aram W. Harrow, et al.
Physical Review A - AMO
Charles H. Bennett, Gilles Brassard, et al.
ISIT 1994
G. Grinstein, C. Jayaprakash
Physical Review B