Noise simulations of an Ising model of glassy kinetics

G. B. Alers, M. B. Weissman, Ann Kinzig, N. Israeloff

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Non-Gaussian properties of equilibrium magnetization fluctuations in a two-spin facilitated Ising model of the glass transition were studied by Monte Carlo simulation. The noise had properties unlike parallel distributed kinetics and similar to those expected for hierarchical kinetic schemes. The power spectrum had a region of slightly steeper than 1/f frequency dependence consistent with a highly stretched exponential response function. Fluctuations of noise power in different octaves were found to be correlated over a frequency range much larger than would be expected for systems in which each site contributed noise with one time constant. Further, higher-order non-Gaussian power spectra had a similar 1/f behavior demonstrating an overall order invariance in higher moments of the noise. This behavior might be used to identify similar kinetic cooperativity in real systems.

Original languageEnglish (US)
Pages (from-to)8429-8434
Number of pages6
JournalPhysical Review B
Volume36
Issue number16
DOIs
StatePublished - 1987
Externally publishedYes

Fingerprint

Ising model
Power spectrum
Kinetics
kinetics
power spectra
simulation
Invariance
Glass transition
Magnetization
octaves
time constant
invariance
frequency ranges
moments
magnetization
glass

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Noise simulations of an Ising model of glassy kinetics. / Alers, G. B.; Weissman, M. B.; Kinzig, Ann; Israeloff, N.

In: Physical Review B, Vol. 36, No. 16, 1987, p. 8429-8434.

Research output: Contribution to journalArticle

Alers, GB, Weissman, MB, Kinzig, A & Israeloff, N 1987, 'Noise simulations of an Ising model of glassy kinetics', Physical Review B, vol. 36, no. 16, pp. 8429-8434. https://doi.org/10.1103/PhysRevB.36.8429
Alers, G. B. ; Weissman, M. B. ; Kinzig, Ann ; Israeloff, N. / Noise simulations of an Ising model of glassy kinetics. In: Physical Review B. 1987 ; Vol. 36, No. 16. pp. 8429-8434.
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