DOI: 10.1063/1.461768. The origin of glassy dynamics in the 2D facilitated kinetic Ising model

The origin of glassy dynamics in the 2D facilitated kinetic Ising model

10.1063/1.461768

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

Monte Carlo simulation data from the two-dimensional facilitated kinetic Ising model proposed by Fredrickson and Andersen is examined with the goal of understanding the processes responsible for the characteristic features of glassy dynamics. The spatial distribution of spin flip rates is found to be highly nonuniform with pockets of rapidly relaxing spins surrounded by kinetically locked domains. The slow relaxation of these latter domains, which gives rise to the characteristic long time tail of the linear response function, is due to the action of rare clusters of spins which are able to propagate their influence throughout the sample. An analytic expression is derived for the density of these active sites which is found to fully account for the non-Arrhenius temperature dependence of the relaxation time in this model. The consequences of these results for both theories and experiments in structural glasses are discussed.

Bibliography

Butler, S., & Harrowell, P. (1991). The origin of glassy dynamics in the 2D facilitated kinetic Ising model. The Journal of Chemical Physics, 95(6), 4454â4465.

Authors 2

Scott Butler (first)
Peter Harrowell (additional)

References 32 Referenced 92

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{'key': '2024021011445475000_r2a'}
{'key': '2024021011445475000_r2b'}
10.1016/0022-3093(85)90334-5 / J. Non-Cryst. Solids (1985)
10.1021/j100283a030 / J. Phys. Chem. (1986)
{'key': '2024021011445475000_r4', 'first-page': '127', 'volume': '9', 'year': '1979', 'journal-title': 'Comments Solid State Phys.'} / Comments Solid State Phys. (1979)
10.1088/0034-4885/49/2/002 / Rep. Prog. Phys. (1986)
10.1146/annurev.pc.39.100188.001053 / Annu. Rev. Phys. Chem. (1988)
10.1073/pnas.81.4.1280 / Proc. Natl. Acad. Sci. USA (1984)
10.1021/ma00145a052 / Macromolecules (1985)
{'key': '2024021011445475000_r7b'}
10.1063/1.1731414 / J. Chem. Phys. (1960)
10.1063/1.431279 / J. Chem. Phys. (1975)
10.1063/1.445976 / J. Chem. Phys. (1983)
10.1103/PhysRevLett.53.958 / Phys. Rev. Lett. (1984)
10.1088/0022-3719/20/4/001 / J. Phys. C (1987)
{'key': '2024021011445475000_r12a', 'first-page': '3825', 'volume': '37', 'year': '1988', 'journal-title': 'Phys. Rev. B'} / Phys. Rev. B (1988)
10.1088/0305-4470/22/7/020 / J. Phys. A (1989)
10.1103/PhysRevLett.53.1244 / Phys. Rev. Lett. (1984)
10.1063/1.449662 / J. Chem. Phys. (1985)
10.1063/1.450271 / J. Chem. Phys. (1986)
10.1103/PhysRevB.34.1835 / Phys. Rev. B (1986)
10.1063/1.1696442 / J. Chem. Phys. (1965)
10.1103/PhysRevB.36.8429 / Phys. Rev. B (1987)
10.1063/1.1704269 / J. Math. Phys. (1965)
10.1063/1.1665260 / J. Math. Phys. (1970)
10.1103/PhysRevB.38.373 / Phys. Rev. B (1988)
10.1103/PhysRevA.29.2765 / Phys. Rev. A (1984)
10.1088/0022-3719/17/33/005 / J. Phys. C (1984)
10.1088/0022-3719/20/7/005 / J. Phys. C (1987)
{'key': '2024021011445475000_r23'}

Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 8:21 a.m.)
Deposited	1 year, 6 months ago (Feb. 10, 2024, 8:29 a.m.)
Indexed	3 weeks, 3 days ago (Aug. 2, 2025, 12:01 a.m.)
Issued	33 years, 11 months ago (Sept. 15, 1991)
Published	33 years, 11 months ago (Sept. 15, 1991)
Published Print	33 years, 11 months ago (Sept. 15, 1991)

Funders 0

None

BibTeX

@article{Butler_1991, title={The origin of glassy dynamics in the 2D facilitated kinetic Ising model}, volume={95}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.461768}, DOI={10.1063/1.461768}, number={6}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Butler, Scott and Harrowell, Peter}, year={1991}, month=sep, pages={4454–4465} }

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