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Simulation of a toy model with constrained dynamics

Publication ,  Journal Article
Ajay, ; Palmer, RG
Published in: Journal of Physics A: General Physics
December 1, 1990

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.

Duke Scholars

Published In

Journal of Physics A: General Physics

DOI

ISSN

0305-4470

Publication Date

December 1, 1990

Volume

23

Issue

11

Start / End Page

2139 / 2145

Related Subject Headings

  • Mathematical Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Ajay, ., & Palmer, R. G. (1990). Simulation of a toy model with constrained dynamics. Journal of Physics A: General Physics, 23(11), 2139–2145. https://doi.org/10.1088/0305-4470/23/11/034
Ajay, J. C., and R. G. Palmer. “Simulation of a toy model with constrained dynamics.” Journal of Physics A: General Physics 23, no. 11 (December 1, 1990): 2139–45. https://doi.org/10.1088/0305-4470/23/11/034.
Ajay, Palmer RG. Simulation of a toy model with constrained dynamics. Journal of Physics A: General Physics. 1990 Dec 1;23(11):2139–45.
Ajay, J. C., and R. G. Palmer. “Simulation of a toy model with constrained dynamics.” Journal of Physics A: General Physics, vol. 23, no. 11, Dec. 1990, pp. 2139–45. Scopus, doi:10.1088/0305-4470/23/11/034.
Ajay, Palmer RG. Simulation of a toy model with constrained dynamics. Journal of Physics A: General Physics. 1990 Dec 1;23(11):2139–2145.

Published In

Journal of Physics A: General Physics

DOI

ISSN

0305-4470

Publication Date

December 1, 1990

Volume

23

Issue

11

Start / End Page

2139 / 2145

Related Subject Headings

  • Mathematical Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences