Zero temperature dynamics of a spin glass chain

P.L. Krapivsky

doi:doi:10.1051/jp1:1991185

Numéro		J. Phys. I France Volume 1, Numéro 7, July 1991


Page(s)		1013 - 1018
DOI		https://doi.org/10.1051/jp1:1991185

DOI: 10.1051/jp1:1991185
J. Phys. I France 1 (1991) 1013-1018

Zero temperature dynamics of a spin glass chain

P.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)

Abstract
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 $[1+\exp(-t)+\exp(-2t)]/3$ . Our results are valid for a spin glass chain with an arbitrary symmetric and continuous distribution of nearest-neighbour interactions.