This article is cited in 6 papers

Description of the paramagnet–spin glass transition in the Edwards–Anderson model using critical-dynamics methods

M. G. Vasin

Physical-Technical Institute of the Ural Branch of the Russian Academy of Sciences

Abstract: We show that the paramagnet–spin glass transition can be described in the Edwards–Anderson model using critical-dynamics methods and taking the ultrametric topology of the temporal space into account. In the framework of the suggested approach, we derive the Vogel–Fulcher relation for the system relaxation time. We prove that the fluctuation-dissipation theorem holds for the given model if there is no relaxation-time hierarchy.

Keywords: spin glass, phase transition, critical dynamics, ultrametricity.

Received: 05.09.2005

DOI: 10.4213/tmf1968

 English version: Theoretical and Mathematical Physics, 2006, 147:2, 721–728

Bibliographic databases:

• 
• 
• 
• 
•