Simulation of a toy model with constrained dynamics
Journal Article (Journal Article)
The authors study a sliding block model incorporating constraints in an attempt to understand the slower than exponential relaxation observed in glassy systems. Blocks are free to slide along the axes of a regular lattice but cannot interpenetrate. They simulate two-dimensional L*L lattices with L=8, 16, 32 and 64 and different number of vacancies. Three-dimensional L*L*L lattices with L=4, 8, 16 and 32 and one vacancy are also studied. They find the existence of three time regimes for relaxation towards complete disorder, in both two and three dimensions. In the short-time regime the relaxation follows a stretched exponential law; in the intermediate-time regime there is a t behaviour; and in the long-time regime the relaxation is exponential. In the intermediate- and long-time regimes the results agree well with the theoretical results of Brummelhuis and Hilhorst (1988). The stretched exponential behaviour in the short-time regime is a natural consequence of the constrained dynamics.
Full Text
Duke Authors
Cited Authors
- Ajay, ; Palmer, RG
Published Date
- December 1, 1990
Published In
Volume / Issue
- 23 / 11
Start / End Page
- 2139 - 2145
International Standard Serial Number (ISSN)
- 0305-4470
Digital Object Identifier (DOI)
- 10.1088/0305-4470/23/11/034
Citation Source
- Scopus