A note on Edwards' hypothesis for zero-temperature Ising dynamics
EURANDOM, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
Corresponding author: a firstname.lastname@example.org
Published online: 11 October 2005
We give a simple criterion for testing a behavior à la Edwards in certain zero-temperature, ferromagnetic spin-flip dynamics and use it to show that the limiting distributions of those dynamics do not coincide with the uniform distribution over the blocked configurations of the dynamics. We provide explicit examples in dimension one and higher.
PACS: 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 64.60.My – Metastable phases / 68.43.Mn – Adsorption/desorption kinetics / 75.40.Gb – Dynamic properties (dynamic susceptibility, spin waves, spin diffusion, dynamic scaling, etc.)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005