Ravi Bhagavatula, G. Grinstein, et al.
Physical Review Letters
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.
Ravi Bhagavatula, G. Grinstein, et al.
Physical Review Letters
Charles H. Bennett, Péter Gács, et al.
STOC 1993
G. Grinstein, C. Jayaprakash, et al.
Physical Review Letters
G. Grinstein, R.A. Pelcovits
Physical Review A