J. Phys. I France
Volume 1, Numéro 7, July 1991
Page(s) 1013 - 1018
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)

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.

© Les Editions de Physique 1991

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.