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Models of hierarchically constrained dynamics for glassy relaxation

Publication ,  Journal Article
Palmer, RG; Stein, DL; Abrahams, E; Anderson, PW
Published in: Physical Review Letters
January 1, 1984

A class of models for relaxation in strongly interacting glassy materials is suggested. Degrees of freedom are divided into a sequence of levels such that those in level n+1 are locked except when some of those in level n find the right combination to release them, this representing the hierarchy of constraints in real systems. The Kohlrausch anomalous relaxation law, exp[-(t)2], emerges naturally, and a maximum time scale is found which exhibits a Vogel-Fulcher-type temperature dependence. © 1984 The American Physical Society.

Duke Scholars

Published In

Physical Review Letters

DOI

ISSN

0031-9007

Publication Date

January 1, 1984

Volume

53

Issue

10

Start / End Page

958 / 961

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Palmer, R. G., Stein, D. L., Abrahams, E., & Anderson, P. W. (1984). Models of hierarchically constrained dynamics for glassy relaxation. Physical Review Letters, 53(10), 958–961. https://doi.org/10.1103/PhysRevLett.53.958
Palmer, R. G., D. L. Stein, E. Abrahams, and P. W. Anderson. “Models of hierarchically constrained dynamics for glassy relaxation.” Physical Review Letters 53, no. 10 (January 1, 1984): 958–61. https://doi.org/10.1103/PhysRevLett.53.958.
Palmer RG, Stein DL, Abrahams E, Anderson PW. Models of hierarchically constrained dynamics for glassy relaxation. Physical Review Letters. 1984 Jan 1;53(10):958–61.
Palmer, R. G., et al. “Models of hierarchically constrained dynamics for glassy relaxation.” Physical Review Letters, vol. 53, no. 10, Jan. 1984, pp. 958–61. Scopus, doi:10.1103/PhysRevLett.53.958.
Palmer RG, Stein DL, Abrahams E, Anderson PW. Models of hierarchically constrained dynamics for glassy relaxation. Physical Review Letters. 1984 Jan 1;53(10):958–961.

Published In

Physical Review Letters

DOI

ISSN

0031-9007

Publication Date

January 1, 1984

Volume

53

Issue

10

Start / End Page

958 / 961

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences