TY - JOUR
T1 - The nature of attractors in an asymmetric spin glass with deterministic dynamics
AU - Gutfreund, H.
AU - Reger, J. D.
AU - Young, A. P.
PY - 1988
Y1 - 1988
N2 - The authors study the attractors in an infinite-range Ising spin-glass model with deterministic dynamics where the interactions have asymmetry, specified by a parameter k. They find a duality relation between the attractors for models with asymmetry parameters k and 1/k. The attractors are fixed points or limit cycles of short length, except for k=1, at which the average cycle length diverges, reminiscent of a phase transition, and the model has many similarities to the random map model as well as to the infinite-range symmetric spin glass in thermal equilibrium, including the fact that a few attractors dominate the weight. The extent of this dominance varies from sample to sample and so is given by a non-trivial probability distribution, Pi (Y), which they compute numerically.
AB - The authors study the attractors in an infinite-range Ising spin-glass model with deterministic dynamics where the interactions have asymmetry, specified by a parameter k. They find a duality relation between the attractors for models with asymmetry parameters k and 1/k. The attractors are fixed points or limit cycles of short length, except for k=1, at which the average cycle length diverges, reminiscent of a phase transition, and the model has many similarities to the random map model as well as to the infinite-range symmetric spin glass in thermal equilibrium, including the fact that a few attractors dominate the weight. The extent of this dominance varies from sample to sample and so is given by a non-trivial probability distribution, Pi (Y), which they compute numerically.
UR - http://www.scopus.com/inward/record.url?scp=0011149365&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/21/12/020
DO - 10.1088/0305-4470/21/12/020
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AN - SCOPUS:0011149365
SN - 0305-4470
VL - 21
SP - 2775
EP - 2797
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 12
M1 - 020
ER -