Models of Hierarchically Constrained Dynamics for Glassy Relaxation
Abstract
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[-(tτ)β], emerges naturally, and a maximum time scale is found which exhibits a Vogel-Fulcher-type temperature dependence.
- Publication:
-
Physical Review Letters
- Pub Date:
- September 1984
- DOI:
- 10.1103/PhysRevLett.53.958
- Bibcode:
- 1984PhRvL..53..958P
- Keywords:
-
- 05.50.+q;
- 46.30.Jv;
- 61.40.-a;
- 64.70.Ew;
- Lattice theory and statistics