Simple models for relaxation in glass-forming systems
JOURNAL OF NON-CRYSTALLINE SOLIDS, 329 (1-3):
82-93 (2003)7th International Workshop on Non-Crystalline Solids, MEXICO CITY,
MEXICO, FEB 12-14, 2003.DOI: 10.1016/j.jnoncrysol.2003.08.018
Abstract
An overview is provided of our recent work involving kinetic Ising
models for the study of relaxation in quasi one-dimensional chains. The
Hamiltonian of the first such model, introduced in 1993, was constructed
so as to reduce to the one giving the intramolecular energy of the
Gibbs-di Marzio lattice model for polymeric glasses. Variations of this
model that retain the restricted dynamics originally considered but in
which some kind of disorder is also included are briefly described.
These variations still allow an analytical solution and lead to
interesting properties both with regards to the response functions and
to the dynamical critical exponents. Hints as to the possible origin of
the `excess' wings in the Nagel plots of the former are also mentioned.
(C) 2003 Elsevier B.V. All rights reserved.