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Field-Shift Aging Protocol on 3D Ising Spin-Glass Model: Dynamical Crossover between the Spin-Glass and Paramagnetic States

2003/07/31 by Hajime Takayama, Koji Hukushima
Economics, Econometrics and Finance · Materials Science · Physics and Astronomy · #Complex Systems and Time Series Analysis #Material Dynamics and Properties #Theoretical and Computational Physics #cond-mat.dis-nn

paper · pdf · doi:10.1143/jpsj.73.2077

4 pages, 5 figures, jpsj2, Changed content

arxiv created 2004/04/30 · openalex publication_date 2004/08/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Spin-glass (SG) states of the 3-dimensional Ising Edwards-Anderson model under a static magnetic field h are examined by means of the standard Monte Carlo simulation on the field-shift aging protocol at temperature T. For each process with (T; \tw, h), \tw being the waiting time before the field is switched on, we extract the dynamical crossover time, \tcr(T; \tw, h). We have found a nice scaling relation between the two characteristic length scales which are properly determined from \tcr and \tw and then are normalized by the static field crossover length introduced in the SG droplet theory. This scaling behavior implies the instability of the SG phase in the equilibrium limit even under an infinitesimal h. In comparison with this numerical result the field effect on real spin glasses is also discussed.

Citations