TY - JOUR
T1 - Long-Time Behavior for the 1-D Stochastic Ising Model with Unbounded Random Couplings
AU - Spohn, H.
AU - Zhizhina, E.
PY - 2003/4
Y1 - 2003/4
N2 - We consider the ferromagnetic Ising model with Glauber spin flip dynamics in one dimension. The external magnetic field vanishes and the couplings are i.i.d. random variables. If their distribution has compact support, the disorder averaged spin auto-correlation function has an exponential decay in time. We prove that, if the couplings are unbounded, the decay switches to either a power law or a stretched exponential, in general.
AB - We consider the ferromagnetic Ising model with Glauber spin flip dynamics in one dimension. The external magnetic field vanishes and the couplings are i.i.d. random variables. If their distribution has compact support, the disorder averaged spin auto-correlation function has an exponential decay in time. We prove that, if the couplings are unbounded, the decay switches to either a power law or a stretched exponential, in general.
KW - Disordered energy
KW - Spin-flip dynamics
KW - Stretched exponential decay
UR - http://www.scopus.com/inward/record.url?scp=0037273678&partnerID=8YFLogxK
U2 - 10.1023/A:1022225612366
DO - 10.1023/A:1022225612366
M3 - Article
AN - SCOPUS:0037273678
SN - 0022-4715
VL - 111
SP - 419
EP - 431
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
IS - 1-2
ER -