Time decay of the remanent magnetization in the $\pm J$ spin glass model at T=0

Abstract

Using the zero-temperature Metropolis dynamics, the time decay of the remanent magnetization in the $\pm J$ Edward-Anderson spin glass model with a uniform random distribution of ferromagnetic and antiferromagnetic interactions has been investigated. Starting from the saturation, the magnetization per spin $m$ reveals a slow decrease with time, which can be approximated by a power law:$m(t)=m_{\infty }+(\frac{t}{a_0}{)}^{a_1}$, $a_1<0$. Moreover, its relaxation does not lead it into one of the ground states, and therefore the system is trapped in metastable isoenergetic microstates remaining magnetized. Such behaviour is discussed in terms of a random walk the system performs on its available configuration space.

9 pages, 3 figures

References in corpus (4)

• Zero-Temperature Dynamics of Ising Spin Systems Following a Deep Quench: Results and Open Problems
• Zero-Temperature Dynamics of Plus/Minus J Spin Glasses and Related Models
• Persistence in the Zero-Temperature Dynamics of the Diluted Ising Ferromagnet in Two Dimensions
• Stretched Exponential Relaxation on the Hypercube and the Glass Transition