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Kinetically Constrained Ising Model with Time Delay
Author(s) -
Schulz M.,
Trimper S.
Publication year - 2002
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/1521-3951(200206)231:2<477::aid-pssb477>3.0.co;2-#
Subject(s) - ising model , statistical physics , computer science , physics
The behavior of a non‐Markovian Ising model with local Glauber dynamics is studied in the case that the spin‐flip rates are kinetically constrained by the orientation of the neighboring spins. For such a spin facilitated Ising system, which is appropriate to model glassy material, the time delay between the local flip processes and the reordering of the environment leads to a periodical change of the averaged spin moment instead of an exponential decay as in the paramagnetical case. The result is based on a master equation approach in a quantum formulation.