scholarly journals Numerical Study on Aging Dynamics in the 3D Ising Spin-Glass Model. II. Quasi-Equilibrium Regime of Spin Auto-Correlation Function

2000 ◽  
Vol 69 (4) ◽  
pp. 1192-1201 ◽  
Author(s):  
Tatsuo Komori ◽  
Hajime Yoshino ◽  
Hajime Takayama
Keyword(s):  
Correlation Function ◽  
Spin Glass ◽  
Numerical Study ◽  
Quasi Equilibrium ◽  
Spin Glass Model ◽  
Ising Spin Glass ◽  
Ising Spin ◽  
Auto Correlation ◽  
Glass Model ◽  
Auto Correlation Function

scholarly journals NUMERICAL STUDY ON AGING DYNAMICS IN THE 3D ISING SPIN-GLASS MODEL — QUASI-EQUILIBRIUM BEHAVIOR OF SPIN AUTO-CORRELATION FUNCTIONS

1999 ◽  
Vol 10 (08) ◽  
pp. 1433-1442 ◽  
Author(s):  
H. TAKAYAMA ◽  
H. YOSHINO ◽  
T. KOMORI
Keyword(s):  
Spin Glass ◽  
Correlation Functions ◽  
Domain Walls ◽  
Quasi Equilibrium ◽  
Spin Glass Model ◽  
Length Scales ◽  
Equilibrium Behavior ◽  
Ising Spin ◽  
Auto Correlation ◽  
Glass Model

Using Monte Carlo simulations, we have studied aging phenomena in three-dimensional Gaussian Ising spin-glass model focusing on quasi-equilibrium behavior of the spin auto-correlation functions. Weak violation of the time translational invariance in the quasi-equilibrium regime is analyzed in terms of effective stiffness for droplet excitations in the presence of domain walls. The simulation results not only in isothermal aging but also in T-shift aging process. T-shift aging processes exhibit the expected scaling behavior with respect to the characteristic length scales associated with droplet excitations and domain walls in spite of the fact that the growth law for these length scales still shows a pre-asymptotic behavior compared with the asymptotic form proposed by the droplet theory. Implications of our simulational results are also discussed in relation to experimental observations.

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