Abstract
Abstract The fact that the model of barrier heights monotonically increases with increasing metastable state Hamming distance (the difference between the spin orientations of any two states) on a hierarchical (ultrametric) tree can account for the ageing phenomenon in spin glasses. We make use of this model to extract spin-glass dynamics, including the instantaneous value of the zero-field-cooled magnetization M ZFC, and the time dependences of the thermoremanent magnetization M TRM(t w, t) or, equivalently, of the zero-field magnetization M ZFC(t w, t), where t is the measurement time after waiting a time t w, below the spin-glass transition temperature T g. The pure states introduced by Parisi are thought to originate from metastable states because finite barriers diverge as the temperature is lowered. These infinite barriers encompass metastable states separated by a self-similar distribution of barrier heights, independent of temperature. The model for extraction of spin-glass dynamics which we have u...
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have