Skip to Main content Skip to Navigation
Journal articles

Glassy behaviour in a 3-state spin model Glassy behaviour in a 3-state spin model

Abstract : Glassy behaviour in a simple topological model Lexie Davison and David Sherrington-Recent citations Duality between random trap and barrier models Robert L Jack and Peter Sollich-Following microscopic motion in a two-dimensional glass-forming binary fluid Matthew T Downton and Malcolm P Kennett-Aging and intermittency in a p-spin model of a glass Sibani, Paolo-This content was downloaded from IP address on 03/04 Abstract In this paper we study a simple spin model which has a non-interacting Hamiltonian but constrained dynamics. The model, which is a simplification of a purely topological cellular model (Davison L and Sherrington D 2000 J. Phys. A: Math. Gen. 33 8615, Aste T and Sherrington D 1999 J. Phys. A: Math. Gen. 32 7049), displays glassy behaviour, involves activated processes and exhibits two-step relaxation. This is a consequence of the existence of annihilation-diffusion processes on two distinct timescales, one temperature independent and the other an exponential function of inverse temperature. In fact, there are several such inter-coupled microscopic processes and great richness therein. Two versions of the model are considered, one with a single absorbing ground state and the other with a highly degenerate ground state. These display qualitatively similar but quantitatively distinct macroscopic behaviour and related, but different, microscopic behaviour.
Document type :
Journal articles
Complete list of metadata

Cited literature [33 references]  Display  Hide  Download
Contributor : Arnaud Buhot Connect in order to contact the contributor
Submitted on : Monday, April 6, 2020 - 11:17:42 AM
Last modification on : Saturday, August 29, 2020 - 8:06:02 PM


  • HAL Id : cea-02531535, version 1




Lexie Davison, David Sherrington, Juan Garrahan, Arnaud Buhot. Glassy behaviour in a 3-state spin model Glassy behaviour in a 3-state spin model. Journal of Physics A: Mathematical and General J. Phys. A: Math. Gen, 2001, 34, pp.5147 - 5182. ⟨cea-02531535⟩



Record views