TY - JOUR
T1 - Statistics of energy levels and zero temperature dynamics for deterministic spin models with glassy behaviour
AU - Degli Esposti, M.
AU - Giardinà, C.
AU - Graffi, S.
AU - Isola, S.
PY - 2001
Y1 - 2001
N2 - We consider the zero-temperature dynamics for the infinite-range, non translation invariant one-dimensional spin model introduced by Marinari, Parisi and Ritort to generate glassy behaviour out of a deterministic interaction. It is argued that there can be a large number of metastable (i.e., one-flip stable) states with very small overlap with the ground state but very close in energy to it, and that their total number increases exponentially with the size of the system.
AB - We consider the zero-temperature dynamics for the infinite-range, non translation invariant one-dimensional spin model introduced by Marinari, Parisi and Ritort to generate glassy behaviour out of a deterministic interaction. It is argued that there can be a large number of metastable (i.e., one-flip stable) states with very small overlap with the ground state but very close in energy to it, and that their total number increases exponentially with the size of the system.
U2 - 10.1023/A:1004844429584
DO - 10.1023/A:1004844429584
M3 - Article
SN - 0022-4715
VL - 102
SP - 1285
EP - 1330
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
IS - 5-6
ER -