Autocorrelation functions in 3D fully frustrated systems

2001/07/24 by G. Franzese, A. Fierro, A. De Candia +1
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf

published as PHYSICA A 257 (1-4): 376-379 AUG 15 1998 · 6 pages, 1 figure

arxiv created 2001/07/24 · arxiv updated 2009/11/30

Abstract

We present a numerical study of autocorrelation functions of a 3D Fully Frustrated Ising model (FFIM) simulated by spin-flip Monte Carlo dynamics, finding simple exponential decay for all the temperature above the critical temperature T_c for the autocorrelation of squared magnetization, and stretched exponential decay for the energy autocorrelation below a temperature T^* with T_c < T^* =< T_p where T_p is the Kasteleyn-Fortuin and Coniglio-Klein percolation temperature. The results are compared to those on 2D FFIM to give insight on the relevant mechanism in the onset of stretched exponential relaxation functions.

Related

• Aging following a zero-temperature quench in the d=3 Ising model
• Effect of Disorder in the Frustrated Ising FCC Antiferromagnet: Phase Diagram and Stretched Exponential Relaxation
• The truncated correlations of the Ising model in any dimension decay exponentially fast at all but the critical temperature
• Autocorrelations from the transfer matrix DMRG method
• Coarsening in theq-state Potts model and the Ising model with globally conserved magnetization