Glassy behaviour in a 3-state spin model

Details Glassy behaviour in a 3-state spin model Glassy behaviour in a 3-state spin model

2001-01-08

arxiv.org/abs/cond-mat/0101100v2

Jounal of Physics A 34, 5147 (2001)

Physics

Condensed Matter

Disordered Systems and Neural Networks

32 pages LaTeX, 24 figures. Minor textual changes, typos corrected, references added

Scientific paper

10.1088/0305-4470/34/25/302

In this article we study a simple spin model which has a non-interacting Hamiltonian but constrained dynamics. The model, which is a simplification of a purely toplogical cellular model, displays glassy behaviour, involves activated processes and exhibits two-step relaxation. This is a consequence of the existence of annihilation-diffusion processes on two distinct time-scales, one temperature independent and the other an exponential function of inverse temperature. In fact, there are several such inter-coupled microscopic processes and great richness therein. Two versions of the model are considered, one with a single absorbing ground state and the other with a highly degenerate ground state. These display qualitatively similar but quantitatively distinct macroscopic behaviour and related, but different, microscopic behaviour.

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