J. Phys. I France 1 (1991) 1013-1018
Zero temperature dynamics of a spin glass chainP.L. Krapivsky
Central Aerohydrodynamics Institute, Academy of Sciences of the USSR, 140160 Zhukovsky-3, Moscow region, U.S.S.R.
(Received 25 February 1991, accepted 21 March 1991)
We consider an Ising spin glass chain at zero temperature. Introducing a time-dependence in the model by means of Glauber dynamics, we have calculated one-spin and two-spin correlation functions exactly. For example, we have found that if one starts at time t=0 with all the spins aligned, the magnetization evolves as . Our results are valid for a spin glass chain with an arbitrary symmetric and continuous distribution of nearest-neighbour interactions.
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