TY - JOUR
T1 - Zero-temperature dynamics of Ising spin systems following a deep quench
T2 - Results and open problems
AU - Newman, C. M.
AU - Stein, D. L.
PY - 2000/5/1
Y1 - 2000/5/1
N2 - We consider zero-temperature, stochastic Ising models σt with nearest-neighbor interactions and an initial spin configuration σ0 chosen from a symmetric Bernoulli distribution (corresponding physically to a deep quench). Whether σ∞ exists, i.e., whether each spin flips only finitely many times as t→∞ (for almost every σ0 and realization of the dynamics), or if not, whether every spin - or only a fraction strictly less than one - flips infinitely often, depends on the nature of the couplings, the dimension, and the lattice type. We review results, examine open questions, and discuss related topics.
AB - We consider zero-temperature, stochastic Ising models σt with nearest-neighbor interactions and an initial spin configuration σ0 chosen from a symmetric Bernoulli distribution (corresponding physically to a deep quench). Whether σ∞ exists, i.e., whether each spin flips only finitely many times as t→∞ (for almost every σ0 and realization of the dynamics), or if not, whether every spin - or only a fraction strictly less than one - flips infinitely often, depends on the nature of the couplings, the dimension, and the lattice type. We review results, examine open questions, and discuss related topics.
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U2 - 10.1016/S0378-4371(99)00511-7
DO - 10.1016/S0378-4371(99)00511-7
M3 - Article
AN - SCOPUS:0033728508
SN - 0378-4371
VL - 279
SP - 159
EP - 168
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1
ER -