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Journal Articles Journal of Physics A: Mathematical and General J. Phys. A: Math. Gen Year : 2001

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

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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 132.166.183.104 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.
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cea-02531535 , version 1 (06-04-2020)

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  • HAL Id : cea-02531535 , version 1

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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⟩

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