Slow dynamics in 3D ± J Heisenberg spin glass; Monte Carlo analysis of auto-correlation functions of individual spins

H. Takayama and H. Yoshino

Physica A: Statistical Mechanics and its Applications, 1994, vol. 204, issue 1, 650-659

Abstract: Slow dynamics in the 3D ± J Heisenberg spin glass is investigated by the Monte Carlo simulation, in which auto-correlation functions qi(t) of all individual spins in the system are evaluated. The distribution of relaxation times, τi, is extracted from qi(t). The forms of the log(τi) distribution obtained reveal that slow dynamics in this system at relatively low temperatures (T ⪅ 0.6J) is nothing but the critical slowing down associated with the T = 0 phase transition. The two decay forms of the total auto-correlation function q(t) (=N−1Σiqi(t),N being the number of spins in the system) proposed previously, i.e. the logarithmic decay and the exponential one multiplied by an argebraic factor, are understood as characteristic features of the phenomenon in different ranges of the observation time.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:204:y:1994:i:1:p:650-659

DOI: 10.1016/0378-4371(94)90452-9

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